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131121641231616 = 283724390186241
BaseRepresentation
bin11101110100000100100010…
…110110010001010100000000
3122012021002212121212112021110
4131310010202312101110000
5114141244110123402431
61142512241142123320
736422140334650650
oct3564044266212400
9565232777775243
10131121641231616
1138863415160902
1212858304420540
135821943a79149
14245446d8d6360
151025b94e0b346
hex774122d91500

131121641231616 has 72 divisors (see below), whose sum is σ = 398828325429184. Its totient is φ = 37463326064640.

The previous prime is 131121641231569. The next prime is 131121641231617. The reversal of 131121641231616 is 616132146121131.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131121641231617) 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, 12195087745 + ... + 12195098496.

Almost surely, 2131121641231616 is an apocalyptic number.

131121641231616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131121641231616 is an abundant number, since it is smaller than the sum of its proper divisors (267706684197568).

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

131121641231616 is an equidigital number, since it uses as much as digits as its factorization.

131121641231616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24390186267 (or 24390186253 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

Adding to 131121641231616 its reverse (616132146121131), we get a palindrome (747253787352747).

The spelling of 131121641231616 in words is "one hundred thirty-one trillion, one hundred twenty-one billion, six hundred forty-one million, two hundred thirty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 24390186241 48780372482 73170558723 97560744964 146341117446 170731303687 195121489928 292682234892 341462607374 390242979856 512193911061 585364469784 682925214748 780485959712 1024387822122 1170728939568 1365850429496 1560971919424 2048775644244 2341457879136 2731700858992 3121943838848 4097551288488 4682915758272 5463401717984 6243887677696 8195102576976 9365831516544 10926803435968 16390205153952 18731663033088 21853606871936 32780410307904 43707213743872 65560820615808 131121641231616