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121031231310 = 232511242126399
BaseRepresentation
bin111000010111000000…
…1100000011101001110
3102120101212121120220200
41300232001200131032
53440332443400220
6131333451154330
711513160330453
oct1605601403516
9376355546820
10121031231310
1147368a7a500
121b5591459a6
13b54aa3ab02
145c022a382a
1532357a5890
hex1c2e06074e

121031231310 has 144 divisors (see below), whose sum is σ = 346723977600. Its totient is φ = 29270102400.

The previous prime is 121031231309. The next prime is 121031231311. The reversal of 121031231310 is 13132130121.

121031231310 is a `hidden beast` number, since 1 + 2 + 10 + 312 + 31 + 310 = 666.

It is an interprime number because it is at equal distance from previous prime (121031231309) and next prime (121031231311).

It is a super-3 number, since 3×1210312313103 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121031231311) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4571491 + ... + 4597889.

It is an arithmetic number, because the mean of its divisors is an integer number (2407805400).

Almost surely, 2121031231310 is an apocalyptic number.

121031231310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121031231310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173361988800).

121031231310 is an abundant number, since it is smaller than the sum of its proper divisors (225692746290).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121031231310 is a wasteful number, since it uses less digits than its factorization.

121031231310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26855 (or 26841 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 121031231310 its reverse (13132130121), we get a palindrome (134163361431).

The spelling of 121031231310 in words is "one hundred twenty-one billion, thirty-one million, two hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 421 495 605 726 842 990 1089 1210 1263 1815 2105 2178 2526 3630 3789 4210 4631 5445 6315 7578 9262 10890 12630 13893 18945 23155 26399 27786 37890 41679 46310 50941 52798 69465 79197 83358 101882 131995 138930 152823 158394 208395 237591 254705 263990 290389 305646 395985 416790 458469 475182 509410 580778 764115 791970 871167 916938 1187955 1451945 1528230 1742334 2292345 2375910 2613501 2903890 3194279 4355835 4584690 5227002 6388558 8711670 9582837 11113979 13067505 15971395 19165674 22227958 26135010 28748511 31942790 33341937 47914185 55569895 57497022 66683874 95828370 100025811 111139790 122253769 143742555 166709685 200051622 244507538 287485110 333419370 366761307 500129055 611268845 733522614 1000258110 1100283921 1222537690 1344791459 1833806535 2200567842 2689582918 3667613070 4034374377 5501419605 6723957295 8068748754 11002839210 12103123131 13447914590 20171871885 24206246262 40343743770 60515615655 121031231310