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10042311132 = 22327127313783
BaseRepresentation
bin10010101101001000…
…11000000111011100
3221220212101021002100
421112210120013130
5131031312424012
64340253325100
7503600144010
oct112644300734
927825337070
1010042311132
114293693a97
121b43196790
13c406b2c49
146b3a18540
153db9698dc
hex2569181dc

10042311132 has 72 divisors (see below), whose sum is σ = 29239648256. Its totient is φ = 2846630304.

The previous prime is 10042311131. The next prime is 10042311193. The reversal of 10042311132 is 23111324001.

10042311132 is a `hidden beast` number, since 100 + 423 + 11 + 132 = 666.

It is a super-2 number, since 2×100423111322 (a number of 21 digits) contains 22 as substring.

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 (10042311131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124888 + ... + 188895.

Almost surely, 210042311132 is an apocalyptic number.

10042311132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10042311132 is an abundant number, since it is smaller than the sum of its proper divisors (19197337124).

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

10042311132 is a wasteful number, since it uses less digits than its factorization.

10042311132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313927 (or 313922 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10042311132 its reverse (23111324001), we get a palindrome (33153635133).

The spelling of 10042311132 in words is "ten billion, forty-two million, three hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 127 252 254 381 508 762 889 1143 1524 1778 2286 2667 3556 4572 5334 8001 10668 16002 32004 313783 627566 941349 1255132 1882698 2196481 2824047 3765396 4392962 5648094 6589443 8785924 11296188 13178886 19768329 26357772 39536658 39850441 79073316 79700882 119551323 159401764 239102646 278953087 358653969 478205292 557906174 717307938 836859261 1115812348 1434615876 1673718522 2510577783 3347437044 5021155566 10042311132