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131715537252 = 223137133193583
BaseRepresentation
bin111101010101011011…
…0111001100101100100
3110120222111000120022120
41322222312321211210
54124223134143002
6140302001025540
712342014410455
oct1725266714544
9416874016276
10131715537252
1150950a94712
122163b3252b0
13c561431130
14653727712c
15365d785cbc
hex1eaadb9964

131715537252 has 96 divisors (see below), whose sum is σ = 335833989120. Its totient is φ = 39933855360.

The previous prime is 131715537211. The next prime is 131715537253. The reversal of 131715537252 is 252735517131.

131715537252 is digitally balanced in base 3, 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 (131715537253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36759453 + ... + 36763035.

It is an arithmetic number, because the mean of its divisors is an integer number (3498270720).

Almost surely, 2131715537252 is an apocalyptic number.

131715537252 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 131715537252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167916994560).

131715537252 is an abundant number, since it is smaller than the sum of its proper divisors (204118451868).

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

131715537252 is a wasteful number, since it uses less digits than its factorization.

131715537252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6993 (or 6991 counting only the distinct ones).

The product of its digits is 220500, while the sum is 42.

The spelling of 131715537252 in words is "one hundred thirty-one billion, seven hundred fifteen million, five hundred thirty-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 71 78 142 156 213 284 426 852 923 1846 2769 3319 3583 3692 5538 6638 7166 9957 10749 11076 13276 14332 19914 21498 39828 42996 43147 46579 86294 93158 129441 139737 172588 186316 235649 254393 258882 279474 471298 508786 517764 558948 706947 763179 942596 1017572 1413894 1526358 2827788 3052716 3063437 3307109 6126874 6614218 9190311 9921327 11891977 12253748 13228436 18380622 19842654 23783954 35675931 36761244 39685308 47567908 71351862 142703724 154595701 309191402 463787103 618382804 844330367 927574206 1688660734 1855148412 2532991101 3377321468 5065982202 10131964404 10976294771 21952589542 32928884313 43905179084 65857768626 131715537252