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2013211320 = 233529578509
BaseRepresentation
bin111011111111111…
…0010101010111000
312012022012201202020
41313333302222320
513110340230240
6531434034440
7100614004521
oct16777625270
95168181666
102013211320
1194345050a
12482278a20
13261121803
14151537848
15bbb220d0
hex77ff2ab8

2013211320 has 64 divisors (see below), whose sum is σ = 6247908000. Its totient is φ = 518343168.

The previous prime is 2013211309. The next prime is 2013211337. The reversal of 2013211320 is 231123102.

It is a super-2 number, since 2×20132113202 = 8106039637952284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2013211320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285775 + ... + 292734.

Almost surely, 22013211320 is an apocalyptic number.

2013211320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013211320 is an abundant number, since it is smaller than the sum of its proper divisors (4234696680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2013211320 is a wasteful number, since it uses less digits than its factorization.

2013211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578552 (or 578548 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2013211320 is about 44868.8234746578. The cubic root of 2013211320 is about 1262.6891670930.

Adding to 2013211320 its reverse (231123102), we get a palindrome (2244334422).

The spelling of 2013211320 in words is "two billion, thirteen million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 578509 1157018 1735527 2314036 2892545 3471054 4628072 5785090 6942108 8677635 11570180 13884216 16776761 17355270 23140360 33553522 34710540 50330283 67107044 69421080 83883805 100660566 134214088 167767610 201321132 251651415 335535220 402642264 503302830 671070440 1006605660 2013211320