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131130232132319 = 7172093815262821
BaseRepresentation
bin11101110100001100100010…
…111001111101001011011111
3122012021221001100011111112222
4131310030202321331023133
5114141414203411213234
61142520221431015555
736422563252261460
oct3564144271751337
9565257040144488
10131130232132319
1138867023531742
1212859b0150a5bb
1358226b2850244
142454a46858d67
151025ee922842e
hex774322e7d2df

131130232132319 has 16 divisors (see below), whose sum is σ = 158679388224576. Its totient is φ = 105785208153600.

The previous prime is 131130232132313. The next prime is 131130232132327. The reversal of 131130232132319 is 913231232031131.

It is a cyclic number.

It is not a de Polignac number, because 131130232132319 - 212 = 131130232128223 is a prime.

It is a super-2 number, since 2×1311302321323192 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131130232132313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22284929 + ... + 27547749.

It is an arithmetic number, because the mean of its divisors is an integer number (9917461764036).

Almost surely, 2131130232132319 is an apocalyptic number.

131130232132319 is a deficient number, since it is larger than the sum of its proper divisors (27549156092257).

131130232132319 is a wasteful number, since it uses less digits than its factorization.

131130232132319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5472226.

The product of its (nonzero) digits is 17496, while the sum is 35.

The spelling of 131130232132319 in words is "one hundred thirty-one trillion, one hundred thirty billion, two hundred thirty-two million, one hundred thirty-two thousand, three hundred nineteen".

Divisors: 1 7 17 119 209381 1465667 3559477 5262821 24916339 36839747 89467957 626275699 1101934723801 7713543066607 18732890304617 131130232132319