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150515331012 = 2232291394672221
BaseRepresentation
bin1000110000101101101…
…0011010111111000100
3112101111200011001010100
42030023122122333010
54431223411043022
6153051253524100
713605624130014
oct2141332327704
9471450131110
10150515331012
1158918a86a52
1225207343630
1311269271757
1473dbdb7c44
153dade751ac
hex230b69afc4

150515331012 has 144 divisors (see below), whose sum is σ = 397448251200. Its totient is φ = 47968623360.

The previous prime is 150515330989. The next prime is 150515331019. The reversal of 150515331012 is 210133515051.

150515331012 is a `hidden beast` number, since 1 + 505 + 1 + 53 + 3 + 101 + 2 = 666.

150515331012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (150515331019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67768062 + ... + 67770282.

It is an arithmetic number, because the mean of its divisors is an integer number (2760057300).

Almost surely, 2150515331012 is an apocalyptic number.

150515331012 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 150515331012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198724125600).

150515331012 is an abundant number, since it is smaller than the sum of its proper divisors (246932920188).

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

150515331012 is a wasteful number, since it uses less digits than its factorization.

150515331012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

Adding to 150515331012 its reverse (210133515051), we get a palindrome (360648846063).

The spelling of 150515331012 in words is "one hundred fifty billion, five hundred fifteen million, three hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 139 174 261 278 348 417 467 522 556 834 934 1044 1251 1401 1668 1868 2221 2502 2802 4031 4203 4442 5004 5604 6663 8062 8406 8884 12093 13326 13543 16124 16812 19989 24186 26652 27086 36279 39978 40629 48372 54172 64409 64913 72558 79956 81258 121887 128818 129826 145116 162516 193227 194739 243774 257636 259652 308719 386454 389478 487548 579681 584217 617438 772908 778956 926157 1037207 1159362 1168434 1234876 1852314 1882477 2074414 2318724 2336868 2778471 3111621 3704628 3764954 4148828 5556942 5647431 6223242 7529908 8952851 9334863 11113884 11294862 12446484 16942293 17905702 18669726 22589724 26858553 30079003 33884586 35811404 37339452 53717106 60158006 67769172 80575659 90237009 107434212 120316012 144171773 161151318 180474018 270711027 288343546 322302636 360948036 432515319 541422054 576687092 865030638 1082844108 1297545957 1730061276 2595091914 4180981417 5190183828 8361962834 12542944251 16723925668 25085888502 37628832753 50171777004 75257665506 150515331012