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21110100132 = 223111731303463
BaseRepresentation
bin10011101010010000…
…101001000010100100
32000111012101012100110
4103222100221002210
5321213141201012
613410422413020
71345061614302
oct235220510244
960435335313
1021110100132
118a53112750
124111891170
131cb5683914
1410438d3272
1583844973c
hex4ea4290a4

21110100132 has 96 divisors (see below), whose sum is σ = 58731208704. Its totient is φ = 5826470400.

The previous prime is 21110100083. The next prime is 21110100133. The reversal of 21110100132 is 23100101112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (21110100133) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 82168 + ... + 221295.

It is an arithmetic number, because the mean of its divisors is an integer number (611783424).

Almost surely, 221110100132 is an apocalyptic number.

21110100132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21110100132 is an abundant number, since it is smaller than the sum of its proper divisors (37621108572).

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

21110100132 is a wasteful number, since it uses less digits than its factorization.

21110100132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303529 (or 303527 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 21110100132 its reverse (23100101112), we get a palindrome (44210201244).

The spelling of 21110100132 in words is "twenty-one billion, one hundred ten million, one hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 17 22 31 33 34 44 51 62 66 68 93 102 124 132 186 187 204 341 372 374 527 561 682 748 1023 1054 1122 1364 1581 2046 2108 2244 3162 4092 5797 6324 11594 17391 23188 34782 69564 303463 606926 910389 1213852 1820778 3338093 3641556 5158871 6676186 9407353 10014279 10317742 13352372 15476613 18814706 20028558 20635484 28222059 30953226 37629412 40057116 56444118 56747581 61906452 103480883 112888236 113495162 159925001 170242743 206961766 226990324 310442649 319850002 340485486 413923532 479775003 620885298 639700004 680970972 959550006 1241770596 1759175011 1919100012 3518350022 5277525033 7036700044 10555050066 21110100132