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131121231320320 = 285711937475623
BaseRepresentation
bin11101110100000100001010…
…011010100101010100000000
3122012021001211001112212200121
4131310010022122211110000
5114141242240204222240
61142512132340230024
736422124226526203
oct3564041232452400
9565231731485617
10131121231320320
113886322483643a
121285820b09b314
1358218a9b77497
1424544312b193a
151025b6de3b04a
hex77410a6a5500

131121231320320 has 144 divisors (see below), whose sum is σ = 320150236154112. Its totient is φ = 51441848156160.

The previous prime is 131121231320257. The next prime is 131121231320323. The reversal of 131121231320320 is 23023132121131.

It is a super-3 number, since 3×1311212313203203 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131121231320323) 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, 13802029 + ... + 21277651.

It is an arithmetic number, because the mean of its divisors is an integer number (2223265528848).

Almost surely, 2131121231320320 is an apocalyptic number.

131121231320320 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 131121231320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160075118077056).

131121231320320 is an abundant number, since it is smaller than the sum of its proper divisors (189029004833792).

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

131121231320320 is an equidigital number, since it uses as much as digits as its factorization.

131121231320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7475908 (or 7475894 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 131121231320320 its reverse (23023132121131), we get a palindrome (154144363441451).

The spelling of 131121231320320 in words is "one hundred thirty-one trillion, one hundred twenty-one billion, two hundred thirty-one million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 128 142 160 193 256 284 320 355 386 568 640 710 772 965 1136 1280 1420 1544 1930 2272 2840 3088 3860 4544 5680 6176 7720 9088 11360 12352 13703 15440 18176 22720 24704 27406 30880 45440 49408 54812 61760 68515 90880 109624 123520 137030 219248 247040 274060 438496 548120 876992 1096240 1753984 2192480 3507968 4384960 7475623 8769920 14951246 17539840 29902492 37378115 59804984 74756230 119609968 149512460 239219936 299024920 478439872 530769233 598049840 956879744 1061538466 1196099680 1442795239 1913759488 2123076932 2392199360 2653846165 2885590478 4246153864 4784398720 5307692330 5771180956 7213976195 8492307728 9568797440 10615384660 11542361912 14427952390 16984615456 21230769320 23084723824 28855904780 33969230912 42461538640 46169447648 57711809560 67938461824 84923077280 92338895296 102438461969 115423619120 135876923648 169846154560 184677790592 204876923938 230847238240 339692309120 369355581184 409753847876 461694476480 512192309845 679384618240 819507695752 923388952960 1024384619690 1639015391504 1846777905920 2048769239380 3278030783008 4097538478760 6556061566016 8195076957520 13112123132032 16390153915040 26224246264064 32780307830080 65560615660160 131121231320320