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1100101212 = 2232717491523
BaseRepresentation
bin100000110010010…
…0011011001011100
32211200000221011100
41001210203121130
54223111214322
6301054553100
736155464110
oct10144433134
92750027140
101100101212
11514a84361
12268508790
13146bb7a82
14a6167740
15668a5dac
hex4192365c

1100101212 has 144 divisors (see below), whose sum is σ = 3378316032. Its totient is φ = 294658560.

The previous prime is 1100101199. The next prime is 1100101271. The reversal of 1100101212 is 2121010011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1100101194 and 1100101203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2103183 + ... + 2103705.

It is an arithmetic number, because the mean of its divisors is an integer number (23460528).

Almost surely, 21100101212 is an apocalyptic number.

1100101212 is a gapful number since it is divisible by the number (12) 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 1100101212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689158016).

1100101212 is an abundant number, since it is smaller than the sum of its proper divisors (2278214820).

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

1100101212 is a wasteful number, since it uses less digits than its factorization.

1100101212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1100101212 is about 33167.7736967678. The cubic root of 1100101212 is about 1032.3117748293.

Adding to 1100101212 its reverse (2121010011), we get a palindrome (3221111223).

The spelling of 1100101212 in words is "one billion, one hundred million, one hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 491 523 612 714 982 1046 1071 1428 1473 1569 1964 2092 2142 2946 3138 3437 3661 4284 4419 4707 5892 6276 6874 7322 8347 8838 8891 9414 10311 10983 13748 14644 16694 17676 17782 18828 20622 21966 25041 26673 30933 32949 33388 35564 41244 43932 50082 53346 58429 61866 62237 65898 75123 80019 100164 106692 116858 123732 124474 131796 150246 160038 175287 186711 233716 248948 256793 300492 320076 350574 373422 513586 525861 560133 701148 746844 770379 1027172 1051722 1120266 1540758 1797551 2103444 2240532 2311137 3081516 3595102 4365481 4622274 5392653 7190204 8730962 9244548 10785306 13096443 16177959 17461924 21570612 26192886 30558367 32355918 39289329 52385772 61116734 64711836 78578658 91675101 122233468 157157316 183350202 275025303 366700404 550050606 1100101212