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10312211451132 = 223217104871606753
BaseRepresentation
bin1001011000001111111110…
…1100110100110011111100
31100111211121202011021100100
42112003333230310303330
52322423402112414012
633533210424001100
72113014133033203
oct226037754646374
940454552137310
1010312211451132
113316425586298
1211a66aa900190
1359a58bb85156
14279183db223a
1512d39e6de8dc
hex960ffb34cfc

10312211451132 has 72 divisors (see below), whose sum is σ = 27602979689376. Its totient is φ = 3234893082624.

The previous prime is 10312211451103. The next prime is 10312211451169. The reversal of 10312211451132 is 23115411221301.

10312211451132 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 2 + 2 + 114 + 511 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10312211451096 and 10312211451105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5614668 + ... + 7221420.

It is an arithmetic number, because the mean of its divisors is an integer number (383374717908).

Almost surely, 210312211451132 is an apocalyptic number.

10312211451132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10312211451132 is an abundant number, since it is smaller than the sum of its proper divisors (17290768238244).

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

10312211451132 is a wasteful number, since it uses less digits than its factorization.

10312211451132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617267 (or 1617262 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 10312211451132 its reverse (23115411221301), we get a palindrome (33427622672433).

The spelling of 10312211451132 in words is "ten trillion, three hundred twelve billion, two hundred eleven million, four hundred fifty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 10487 20974 31461 41948 62922 94383 125844 178279 188766 356558 377532 534837 713116 1069674 1604511 1606753 2139348 3209022 3213506 4820259 6418044 6427012 9640518 14460777 19281036 27314801 28921554 54629602 57843108 81944403 109259204 163888806 245833209 327777612 491666418 983332836 16850018711 33700037422 50550056133 67400074844 101100112266 151650168399 202200224532 286450318087 303300336798 572900636174 606600673596 859350954261 1145801272348 1718701908522 2578052862783 3437403817044 5156105725566 10312211451132