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130032200313213 = 31137412432582171
BaseRepresentation
bin11101100100001101111011…
…000110111110100101111101
3122001101221211121120200102220
4131210031323012332211331
5114020421421240010323
61140315545042235553
736250342066642602
oct3544157306764575
9561357747520386
10130032200313213
113848338a165130
1212701140955bb9
135772ca375b363
1424178409266a9
1510076814520e3
hex76437b1be97d

130032200313213 has 32 divisors (see below), whose sum is σ = 194254361989632. Its totient is φ = 76675575700800.

The previous prime is 130032200313199. The next prime is 130032200313229. The reversal of 130032200313213 is 312313002230031.

It is not a de Polignac number, because 130032200313213 - 25 = 130032200313181 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130032200313233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49066618 + ... + 51648788.

It is an arithmetic number, because the mean of its divisors is an integer number (6070448812176).

Almost surely, 2130032200313213 is an apocalyptic number.

It is an amenable number.

130032200313213 is a deficient number, since it is larger than the sum of its proper divisors (64222161676419).

130032200313213 is a wasteful number, since it uses less digits than its factorization.

130032200313213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623465.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 130032200313213 its reverse (312313002230031), we get a palindrome (442345202543244).

The spelling of 130032200313213 in words is "one hundred thirty trillion, thirty-two billion, two hundred million, three hundred thirteen thousand, two hundred thirteen".

Divisors: 1 3 11 33 37 111 407 1221 41243 123729 453673 1361019 1525991 2582171 4577973 7746513 16785901 28403881 50357703 85211643 95540327 286620981 1050943597 3152830791 106496478553 319489435659 1171461264083 3514383792249 3940369706461 11821109119383 43344066771071 130032200313213