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13150315932 = 223131747105503
BaseRepresentation
bin11000011111101000…
…11110010110011100
31020221110122021011020
430033310132112130
5203412440102212
610012520524140
7643606561335
oct141764362634
936843567136
1013150315932
115639012aa6
122670020650
131317581640
148ca6d728c
1551e744d8c
hex30fd1e59c

13150315932 has 96 divisors (see below), whose sum is σ = 35732938752. Its totient is φ = 3727174656.

The previous prime is 13150315931. The next prime is 13150315939. The reversal of 13150315932 is 23951305131.

It is a super-2 number, since 2×131503159322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13150315893 and 13150315902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13150315931) 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 31 ways as a sum of consecutive naturals, for example, 71893 + ... + 177395.

It is an arithmetic number, because the mean of its divisors is an integer number (372218112).

Almost surely, 213150315932 is an apocalyptic number.

13150315932 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 13150315932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17866469376).

13150315932 is an abundant number, since it is smaller than the sum of its proper divisors (22582622820).

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

13150315932 is a wasteful number, since it uses less digits than its factorization.

13150315932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105587 (or 105585 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 33.

The spelling of 13150315932 in words is "thirteen billion, one hundred fifty million, three hundred fifteen thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 47 51 52 68 78 94 102 141 156 188 204 221 282 442 564 611 663 799 884 1222 1326 1598 1833 2397 2444 2652 3196 3666 4794 7332 9588 10387 20774 31161 41548 62322 105503 124644 211006 316509 422012 633018 1266036 1371539 1793551 2743078 3587102 4114617 4958641 5380653 5486156 7174204 8229234 9917282 10761306 14875923 16458468 19834564 21522612 23316163 29751846 46632326 59503692 64462333 69948489 84296897 93264652 128924666 139896978 168593794 193386999 252890691 257849332 279793956 337187588 386773998 505781382 773547996 1011562764 1095859661 2191719322 3287578983 4383438644 6575157966 13150315932