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11310465132 = 223544326267
BaseRepresentation
bin10101000100010100…
…00000000001101100
31002012020122011100000
422202022000001230
5141130434341012
65110154304300
7550166240001
oct124212000154
932166564300
1011310465132
11488450a94a
122237a28090
1310b334a925
147942098a8
15462e68ddc
hex2a228006c

11310465132 has 72 divisors (see below), whose sum is σ = 29717303616. Its totient is φ = 3761501328.

The previous prime is 11310465097. The next prime is 11310465149. The reversal of 11310465132 is 23156401311.

It is a happy number.

11310465132 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 0 + 4 + 651 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11310465096 and 11310465105.

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, 417463 + ... + 443729.

It is an arithmetic number, because the mean of its divisors is an integer number (412740328).

Almost surely, 211310465132 is an apocalyptic number.

11310465132 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 11310465132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14858651808).

11310465132 is an abundant number, since it is smaller than the sum of its proper divisors (18406838484).

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

11310465132 is a wasteful number, since it uses less digits than its factorization.

11310465132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26729 (or 26715 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 11310465132 its reverse (23156401311), we get a palindrome (34466866443).

The spelling of 11310465132 in words is "eleven billion, three hundred ten million, four hundred sixty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 443 486 886 972 1329 1772 2658 3987 5316 7974 11961 15948 23922 26267 35883 47844 52534 71766 78801 105068 107649 143532 157602 215298 236403 315204 430596 472806 709209 945612 1418418 2127627 2836836 4255254 6382881 8510508 11636281 12765762 23272562 25531524 34908843 46545124 69817686 104726529 139635372 209453058 314179587 418906116 628359174 942538761 1256718348 1885077522 2827616283 3770155044 5655232566 11310465132