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131026646016213 = 33121011059742463
BaseRepresentation
bin11101110010101100000100…
…101100010010000011010101
3122011221000200020121120211020
4131302230010230102003111
5114133220032340004323
61142400451001031353
736412235301645123
oct3562540454220325
9564830606546736
10131026646016213
11388270a7900522
1212841a12785559
1358159b50b200c
14244da1b420913
151023485270ae3
hex772b04b120d5

131026646016213 has 48 divisors (see below), whose sum is σ = 182328360979968. Its totient is φ = 83686487472000.

The previous prime is 131026646016179. The next prime is 131026646016221. The reversal of 131026646016213 is 312610646620131.

It is a happy number.

It is not a de Polignac number, because 131026646016213 - 224 = 131026629238997 is a prime.

It is a super-2 number, since 2×1310266460162132 (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 (131026646016113) 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, 3085645020 + ... + 3085687482.

It is an arithmetic number, because the mean of its divisors is an integer number (3798507520416).

Almost surely, 2131026646016213 is an apocalyptic number.

It is an amenable number.

131026646016213 is a deficient number, since it is larger than the sum of its proper divisors (51301714963755).

131026646016213 is a wasteful number, since it uses less digits than its factorization.

131026646016213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53226 (or 53195 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 131026646016213 in words is "one hundred thirty-one trillion, twenty-six billion, six hundred forty-six million, sixteen thousand, two hundred thirteen".

Divisors: 1 3 31 93 101 303 961 2883 3131 9393 10597 31791 42463 97061 127389 291183 328507 985521 1070297 1316353 3210891 3949059 4288763 10183717 12866289 30551151 33179207 40806943 99537621 122420829 132951653 398854959 449980411 1028555417 1349941233 3085666251 4121501243 12364503729 13949392741 41848178223 45448021511 136344064533 432431174971 1297293524913 1408888666841 4226666000523 43675548672071 131026646016213