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213713015607 = 327131948728201
BaseRepresentation
bin1100011100001001001…
…0011101001100110111
3202102122000202001111100
43013002102131030313
512000141012444412
6242102311341143
721304002442230
oct3070222351467
9672560661440
10213713015607
11826a9475853
12355040817b3
13171cb3395b0
14a4b5412087
15585c2b9edc
hex31c249d337

213713015607 has 96 divisors (see below), whose sum is σ = 400766213120. Its totient is φ = 106571635200.

The previous prime is 213713015573. The next prime is 213713015627. The reversal of 213713015607 is 706510317312.

213713015607 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 1 + 30 + 15 + 607 = 666.

213713015607 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213713015607 - 27 = 213713015479 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213713015627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7564107 + ... + 7592307.

Almost surely, 2213713015607 is an apocalyptic number.

213713015607 is a deficient number, since it is larger than the sum of its proper divisors (187053197513).

213713015607 is a wasteful number, since it uses less digits than its factorization.

213713015607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28733 (or 28730 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 213713015607 in words is "two hundred thirteen billion, seven hundred thirteen million, fifteen thousand, six hundred seven".

Divisors: 1 3 7 9 13 19 21 39 57 63 91 117 133 171 247 273 399 487 741 819 1197 1461 1729 2223 3409 4383 5187 6331 9253 10227 15561 18993 27759 28201 30681 44317 56979 64771 83277 84603 120289 132951 194313 197407 253809 360867 366613 398853 535819 582939 592221 842023 1082601 1099839 1607457 1776663 2526069 2566291 3299517 3750733 4822371 6965647 7578207 7698873 11252199 13733887 20896941 23096619 33756597 41201661 48759529 62690823 96137209 123604983 146278587 178540531 260943853 288411627 438835761 535621593 782831559 865234881 1249783717 1606864779 1826606971 2348494677 3392270089 3749351151 5479820913 10176810267 11248053453 16439462739 23745890623 30530430801 71237671869 213713015607