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131330630392 = 231359103207799
BaseRepresentation
bin111101001001111101…
…0100110001011111000
3110112222122202021100221
41322103322212023320
54122431120133032
6140155451105424
712326331640153
oct1722372461370
9415878667327
10131330630392
1150773798475
1221552442274
13c4cc7756b0
1464dc0c0c9a
153639aa4597
hex1e93ea62f8

131330630392 has 64 divisors (see below), whose sum is σ = 272301120000. Its totient is φ = 59007982464.

The previous prime is 131330630329. The next prime is 131330630393. The reversal of 131330630392 is 293036033131.

It is a super-2 number, since 2×1313306303922 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131330630393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 528109 + ... + 735907.

It is an arithmetic number, because the mean of its divisors is an integer number (4254705000).

Almost surely, 2131330630392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131330630392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136150560000).

131330630392 is an abundant number, since it is smaller than the sum of its proper divisors (140970489608).

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

131330630392 is a wasteful number, since it uses less digits than its factorization.

131330630392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207980 (or 207976 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 34.

The spelling of 131330630392 in words is "one hundred thirty-one billion, three hundred thirty million, six hundred thirty thousand, three hundred ninety-two".

Divisors: 1 2 4 8 13 26 52 59 103 104 118 206 236 412 472 767 824 1339 1534 2678 3068 5356 6077 6136 10712 12154 24308 48616 79001 158002 207799 316004 415598 632008 831196 1662392 2701387 5402774 10805548 12260141 21403297 21611096 24520282 42806594 49040564 85613188 98081128 159381833 171226376 278242861 318763666 556485722 637527332 1112971444 1262794523 1275054664 2225942888 2525589046 5051178092 10102356184 16416328799 32832657598 65665315196 131330630392