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151312512 = 27313171783
BaseRepresentation
bin10010000010011…
…01100010000000
3101112201110202010
421001031202000
5302214000022
623003052520
73515064231
oct1101154200
9345643663
10151312512
117845936a
1242811140
132546b440
141614b088
15d43d50c
hex904d880

151312512 has 128 divisors (see below), whose sum is σ = 458559360. Its totient is φ = 43794432.

The previous prime is 151312493. The next prime is 151312541. The reversal of 151312512 is 215213151.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83973 + ... + 85755.

It is an arithmetic number, because the mean of its divisors is an integer number (3582495).

Almost surely, 2151312512 is an apocalyptic number.

151312512 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 151312512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229279680).

151312512 is an abundant number, since it is smaller than the sum of its proper divisors (307246848).

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

151312512 is a wasteful number, since it uses less digits than its factorization.

151312512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830 (or 1818 counting only the distinct ones).

The product of its digits is 300, while the sum is 21.

The square root of 151312512 is about 12300.9150879111. The cubic root of 151312512 is about 532.8745109475.

Adding to 151312512 its reverse (215213151), we get a palindrome (366525663).

The spelling of 151312512 in words is "one hundred fifty-one million, three hundred twelve thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 128 136 156 192 204 208 221 272 312 384 408 416 442 544 624 663 816 832 884 1088 1248 1326 1632 1664 1768 1783 2176 2496 2652 3264 3536 3566 4992 5304 5349 6528 7072 7132 10608 10698 14144 14264 21216 21396 23179 28288 28528 30311 42432 42792 46358 57056 60622 69537 84864 85584 90933 92716 114112 121244 139074 171168 181866 185432 228224 242488 278148 342336 363732 370864 394043 484976 556296 684672 727464 741728 788086 969952 1112592 1182129 1454928 1483456 1576172 1939904 2225184 2364258 2909856 2966912 3152344 3879808 4450368 4728516 5819712 6304688 8900736 9457032 11639424 12609376 18914064 25218752 37828128 50437504 75656256 151312512