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131320203392 = 277641228647
BaseRepresentation
bin111101001001101001…
…0110100100010000000
3110112221221010112012202
41322103102310202000
54122420433002032
6140154435412332
712326144211560
oct1722322644200
9415857115182
10131320203392
1150768916514
122154aa540a8
13c4ca564681
1464da968da0
153638be4d62
hex1e934b4880

131320203392 has 64 divisors (see below), whose sum is σ = 299455712640. Its totient is φ = 56192040960.

The previous prime is 131320203361. The next prime is 131320203397. The reversal of 131320203392 is 293302023131.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (131320203397) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 460013 + ... + 688659.

It is an arithmetic number, because the mean of its divisors is an integer number (4678995510).

Almost surely, 2131320203392 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 131320203392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149727856320).

131320203392 is an abundant number, since it is smaller than the sum of its proper divisors (168135509248).

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

131320203392 is an equidigital number, since it uses as much as digits as its factorization.

131320203392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229309 (or 229297 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 29.

The spelling of 131320203392 in words is "one hundred thirty-one billion, three hundred twenty million, two hundred three thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 641 896 1282 2564 4487 5128 8974 10256 17948 20512 35896 41024 71792 82048 143584 228647 287168 457294 574336 914588 1600529 1829176 3201058 3658352 6402116 7316704 12804232 14633408 25608464 29266816 51216928 102433856 146562727 204867712 293125454 586250908 1025939089 1172501816 2051878178 2345003632 4103756356 4690007264 8207512712 9380014528 16415025424 18760029056 32830050848 65660101696 131320203392