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131020431420034 = 213376591019202817
BaseRepresentation
bin11101110010100110010010…
…010001011110101010000010
3122011220102122010202101112101
4131302212102101132222002
5114133114320420420114
61142353542200421014
736411625300520662
oct3562462221365202
9564812563671471
10131020431420034
11388244a8928422
121284077947776a
13581523471b380
14244d5cbd101a2
15102321e898d74
hex77299245ea82

131020431420034 has 64 divisors (see below), whose sum is σ = 217913175849600. Its totient is φ = 58689394864128.

The previous prime is 131020431420013. The next prime is 131020431420097. The reversal of 131020431420034 is 430024134020131.

It is a happy number.

It is a super-2 number, since 2×1310204314200342 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131020431419984 and 131020431420011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 645901794 + ... + 646104610.

It is an arithmetic number, because the mean of its divisors is an integer number (3404893372650).

Almost surely, 2131020431420034 is an apocalyptic number.

131020431420034 is a deficient number, since it is larger than the sum of its proper divisors (86892744429566).

131020431420034 is a wasteful number, since it uses less digits than its factorization.

131020431420034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204547.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 131020431420034 its reverse (430024134020131), we get a palindrome (561044565440165).

The spelling of 131020431420034 in words is "one hundred thirty-one trillion, twenty billion, four hundred thirty-one million, four hundred twenty thousand, thirty-four".

Divisors: 1 2 13 26 37 74 481 659 962 1019 1318 2038 8567 13247 17134 24383 26494 37703 48766 75406 202817 316979 405634 490139 633958 671521 980278 1343042 2636621 5273242 7504229 8729773 15008458 17459546 24846277 49692554 97554977 133656403 195109954 206670523 267312806 323001601 413341046 646003202 1737533239 2686716799 3475066478 4945286911 5373433598 7646809351 9890573822 15293618702 64288729843 99408521563 128577459686 136195874657 198817043126 272391749314 1770546370541 3541092741082 5039247362309 10078494724618 65510215710017 131020431420034