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151044012 = 223275910159
BaseRepresentation
bin10010000000010…
…11111110101100
3101112012211102200
421000023332230
5302131402022
622553221500
73512565360
oct1100137654
9345184380
10151044012
1178295669
1242701890
13253a6172
14160bb2a0
15d3d8bac
hex900bfac

151044012 has 72 divisors (see below), whose sum is σ = 443788800. Its totient is φ = 42419808.

The previous prime is 151044001. The next prime is 151044017. The reversal of 151044012 is 210440151.

It is a super-2 number, since 2×1510440122 = 45628587122112288, which contains 22 as substring.

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 (151044017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9789 + ... + 19947.

Almost surely, 2151044012 is an apocalyptic number.

151044012 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 151044012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221894400).

151044012 is an abundant number, since it is smaller than the sum of its proper divisors (292744788).

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

151044012 is a wasteful number, since it uses less digits than its factorization.

151044012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10235 (or 10230 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 151044012 is about 12289.9964198530. The cubic root of 151044012 is about 532.5591338152.

Adding to 151044012 its reverse (210440151), we get a palindrome (361484163).

The spelling of 151044012 in words is "one hundred fifty-one million, forty-four thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 59 63 84 118 126 177 236 252 354 413 531 708 826 1062 1239 1652 2124 2478 3717 4956 7434 10159 14868 20318 30477 40636 60954 71113 91431 121908 142226 182862 213339 284452 365724 426678 599381 640017 853356 1198762 1280034 1798143 2397524 2560068 3596286 4195667 5394429 7192572 8391334 10788858 12587001 16782668 21577716 25174002 37761003 50348004 75522006 151044012