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131320402400 = 25521114922773
BaseRepresentation
bin111101001001101001…
…1100101000111100000
3110112221221111122012102
41322103103211013200
54122421010334100
6140154443545532
712326146001015
oct1722323450740
9415857448172
10131320402400
1150768a41a90
122154ab2b2a8
13c4ca604125
1464da9bb70c
153638c33cd5
hex1e934e51e0

131320402400 has 72 divisors (see below), whose sum is σ = 349730131464. Its totient is φ = 47752870400.

The previous prime is 131320402397. The next prime is 131320402427. The reversal of 131320402400 is 4204023131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7452587 + ... + 7470186.

It is an arithmetic number, because the mean of its divisors is an integer number (4857362937).

Almost surely, 2131320402400 is an apocalyptic number.

131320402400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131320402400 is an abundant number, since it is smaller than the sum of its proper divisors (218409729064).

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

131320402400 is a wasteful number, since it uses less digits than its factorization.

131320402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14922804 (or 14922791 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 131320402400 its reverse (4204023131), we get a palindrome (135524425531).

The spelling of 131320402400 in words is "one hundred thirty-one billion, three hundred twenty million, four hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 14922773 29845546 59691092 74613865 119382184 149227730 164150503 238764368 298455460 328301006 373069325 477528736 596910920 656602012 746138650 820752515 1193821840 1313204024 1492277300 1641505030 2387643680 2626408048 2984554600 3283010060 4103762575 5252816096 5969109200 6566020120 8207525150 11938218400 13132040240 16415050300 26264080480 32830100600 65660201200 131320402400