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20030331100 = 22521337894679
BaseRepresentation
bin10010101001111001…
…101001100011011100
31220200221121020200211
4102221321221203130
5312010231043400
613111331302204
71306241001523
oct225171514334
956627536624
1020030331100
11854966624a
123a7014a964
131b72a67530
14d8033d4ba
157c375cdba
hex4a9e698dc

20030331100 has 144 divisors (see below), whose sum is σ = 48625012800. Its totient is φ = 7113553920.

The previous prime is 20030331091. The next prime is 20030331109. The reversal of 20030331100 is 113303002.

It is an interprime number because it is at equal distance from previous prime (20030331091) and next prime (20030331109).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20030331109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4278561 + ... + 4283239.

It is an arithmetic number, because the mean of its divisors is an integer number (337673700).

Almost surely, 220030331100 is an apocalyptic number.

20030331100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20030331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24312506400).

20030331100 is an abundant number, since it is smaller than the sum of its proper divisors (28594681700).

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

20030331100 is a wasteful number, since it uses less digits than its factorization.

20030331100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4832 (or 4825 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 20030331100 its reverse (113303002), we get a palindrome (20143634102).

The spelling of 20030331100 in words is "twenty billion, thirty million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 37 50 52 65 74 89 100 130 148 178 185 260 325 356 370 445 481 650 740 890 925 962 1157 1300 1780 1850 1924 2225 2314 2405 3293 3700 4450 4628 4679 4810 5785 6586 8900 9358 9620 11570 12025 13172 16465 18716 23140 23395 24050 28925 32930 42809 46790 48100 57850 60827 65860 82325 85618 93580 115700 116975 121654 164650 171236 173123 214045 233950 243308 304135 329300 346246 416431 428090 467900 608270 692492 832862 856180 865615 1070225 1216540 1520675 1665724 1731230 2082155 2140450 2250599 3041350 3462460 4164310 4280900 4328075 4501198 5413603 6082700 8328620 8656150 9002396 10410775 10827206 11252995 15407947 17312300 20821550 21654412 22505990 27068015 30815894 41643100 45011980 54136030 56264975 61631788 77039735 108272060 112529950 135340075 154079470 200303311 225059900 270680150 308158940 385198675 400606622 541360300 770397350 801213244 1001516555 1540794700 2003033110 4006066220 5007582775 10015165550 20030331100