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152305013112 = 23375659160201
BaseRepresentation
bin1000110111011000010…
…1100001000101111000
3112120010101202022102120
42031312011201011320
54443410040404422
6153545025001240
714001155152050
oct2156605410570
9476111668376
10152305013112
115965723366a
1225626783220
1311492c8b345
14752b966560
153e6614145c
hex2376161178

152305013112 has 64 divisors (see below), whose sum is σ = 435236793600. Its totient is φ = 43507756800.

The previous prime is 152305013051. The next prime is 152305013149. The reversal of 152305013112 is 211310503251.

152305013112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 870612 + ... + 1030812.

It is an arithmetic number, because the mean of its divisors is an integer number (6800574900).

Almost surely, 2152305013112 is an apocalyptic number.

152305013112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152305013112 is an abundant number, since it is smaller than the sum of its proper divisors (282931780488).

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

152305013112 is a wasteful number, since it uses less digits than its factorization.

152305013112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165876 (or 165872 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 152305013112 its reverse (211310503251), we get a palindrome (363615516363).

The spelling of 152305013112 in words is "one hundred fifty-two billion, three hundred five million, thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 5659 11318 16977 22636 33954 39613 45272 67908 79226 118839 135816 158452 160201 237678 316904 320402 475356 480603 640804 950712 961206 1121407 1281608 1922412 2242814 3364221 3844824 4485628 6728442 8971256 13456884 26913768 906577459 1813154918 2719732377 3626309836 5439464754 6346042213 7252619672 10878929508 12692084426 19038126639 21757859016 25384168852 38076253278 50768337704 76152506556 152305013112