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10212312132 = 22321137696991
BaseRepresentation
bin10011000001011001…
…11000010001000100
3222100201021012121200
421200230320101010
5131403322442012
64405205142500
7511033135521
oct114054702104
928321235550
1010212312132
114370647290
121b900baa30
13c69995859
146cc42c148
153eb84a3dc
hex260b38444

10212312132 has 72 divisors (see below), whose sum is σ = 28922380032. Its totient is φ = 3010996800.

The previous prime is 10212312107. The next prime is 10212312137. The reversal of 10212312132 is 23121321201.

10212312132 is a `hidden beast` number, since 10 + 212 + 312 + 132 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10212312137) 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, 333844 + ... + 363147.

Almost surely, 210212312132 is an apocalyptic number.

10212312132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10212312132 is an abundant number, since it is smaller than the sum of its proper divisors (18710067900).

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

10212312132 is a wasteful number, since it uses less digits than its factorization.

10212312132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697049 (or 697044 counting only the distinct ones).

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

Adding to 10212312132 its reverse (23121321201), we get a palindrome (33333633333).

The spelling of 10212312132 in words is "ten billion, two hundred twelve million, three hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 814 1221 1332 1628 2442 3663 4884 7326 14652 696991 1393982 2090973 2787964 4181946 6272919 7666901 8363892 12545838 15333802 23000703 25091676 25788667 30667604 46001406 51577334 69002109 77366001 92002812 103154668 138004218 154732002 232098003 276008436 283675337 309464004 464196006 567350674 851026011 928392012 1134701348 1702052022 2553078033 3404104044 5106156066 10212312132