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131022000344100 = 223523259134010433
BaseRepresentation
bin11101110010100111101111…
…110010011100110000100100
3122011220120200110221222202010
4131302213233302130300210
5114133131024042002400
61142354402004114220
736412012211251425
oct3562475762346044
9564816613858663
10131022000344100
1138825133504288
1212840b36995970
1358154247934c8
14244d6da43564c
1510232b24aa450
hex7729efc9cc24

131022000344100 has 72 divisors (see below), whose sum is σ = 379206644881120. Its totient is φ = 34928478996480.

The previous prime is 131022000344089. The next prime is 131022000344153. The reversal of 131022000344100 is 1443000220131.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66027517 + ... + 67982916.

Almost surely, 2131022000344100 is an apocalyptic number.

131022000344100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131022000344100 is an abundant number, since it is smaller than the sum of its proper divisors (248184644537020).

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

131022000344100 is a wasteful number, since it uses less digits than its factorization.

131022000344100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134013709 (or 134013702 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 131022000344100 its reverse (1443000220131), we get a palindrome (132465000564231).

The spelling of 131022000344100 in words is "one hundred thirty-one trillion, twenty-two billion, three hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 3259 6518 9777 13036 16295 19554 32590 39108 48885 65180 81475 97770 162950 195540 244425 325900 488850 977700 134010433 268020866 402031299 536041732 670052165 804062598 1340104330 1608125196 2010156495 2680208660 3350260825 4020312990 6700521650 8040625980 10050782475 13401043300 20101564950 40203129900 436740001147 873480002294 1310220003441 1746960004588 2183700005735 2620440006882 4367400011470 5240880013764 6551100017205 8734800022940 10918500028675 13102200034410 21837000057350 26204400068820 32755500086025 43674000114700 65511000172050 131022000344100