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130206363602031 = 32173726578656603
BaseRepresentation
bin11101100110110000001000…
…000011001100110001101111
3122002000121101100112110011100
4131212300020003030301233
5114031300113040231111
61140531551102054143
736266046033322203
oct3546601003146157
9562017340473140
10130206363602031
1138540232864862
121272aa4787a353
13578653b0a9542
14242204349ab03
15100be76529756
hex766c080ccc6f

130206363602031 has 48 divisors (see below), whose sum is σ = 204598281517344. Its totient is φ = 79460127055872.

The previous prime is 130206363601999. The next prime is 130206363602069.

130206363602031 is a `hidden beast` number, since 1 + 3 + 0 + 206 + 363 + 60 + 2 + 0 + 31 = 666.

130206363602031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 130206363602031 - 25 = 130206363601999 is a prime.

It is a super-2 number, since 2×1302063636020312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130206363602071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10712976 + ... + 19369578.

It is an arithmetic number, because the mean of its divisors is an integer number (4262464198278).

Almost surely, 2130206363602031 is an apocalyptic number.

130206363602031 is a deficient number, since it is larger than the sum of its proper divisors (74391917915313).

130206363602031 is a wasteful number, since it uses less digits than its factorization.

130206363602031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8659320 (or 8659317 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 130206363602031 in words is "one hundred thirty trillion, two hundred six billion, three hundred sixty-three million, six hundred two thousand, thirty-one".

Divisors: 1 3 9 17 37 51 111 153 333 629 1887 2657 5661 7971 23913 45169 98309 135507 294927 406521 884781 1671253 5013759 8656603 15041277 25969809 77909427 147162251 320294311 441486753 960882933 1324460259 2882648799 5445003287 16335009861 23000594171 49005029583 69001782513 207005347539 391010100907 851021984327 1173030302721 2553065952981 3519090908163 7659197858943 14467373733559 43402121200677 130206363602031