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131299471360 = 212521113037
BaseRepresentation
bin111101001001000001…
…1101111000000000000
3110112220111010020012201
41322102003233000000
54122400131040420
6140152415202544
712325503043411
oct1722203570000
9415814106181
10131299471360
1150758146202
1221543b16454
13c4c6185cb5
1464d7ccd808
153636e9c10a
hex1e920ef000

131299471360 has 104 divisors (see below), whose sum is σ = 315333317376. Its totient is φ = 52477624320.

The previous prime is 131299471349. The next prime is 131299471363. The reversal of 131299471360 is 63174992131.

It is a super-3 number, since 3×1312994713603 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131299471360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131299471363) 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, 43231762 + ... + 43234798.

Almost surely, 2131299471360 is an apocalyptic number.

131299471360 is a gapful number since it is divisible by the number (10) 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 131299471360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157666658688).

131299471360 is an abundant number, since it is smaller than the sum of its proper divisors (184033846016).

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

131299471360 is an equidigital number, since it uses as much as digits as its factorization.

131299471360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5177 (or 5155 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 46.

The spelling of 131299471360 in words is "one hundred thirty-one billion, two hundred ninety-nine million, four hundred seventy-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2111 2560 3037 4096 4222 5120 6074 8444 10240 10555 12148 15185 16888 20480 21110 24296 30370 33776 42220 48592 60740 67552 84440 97184 121480 135104 168880 194368 242960 270208 337760 388736 485920 540416 675520 777472 971840 1080832 1351040 1554944 1943680 2161664 2702080 3109888 3887360 4323328 5404160 6219776 6411107 7774720 8646656 10808320 12439552 12822214 15549440 21616640 25644428 31098880 32055535 43233280 51288856 62197760 64111070 102577712 128222140 205155424 256444280 410310848 512888560 820621696 1025777120 1641243392 2051554240 3282486784 4103108480 6564973568 8206216960 13129947136 16412433920 26259894272 32824867840 65649735680 131299471360