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13213112120 = 23513130119531
BaseRepresentation
bin11000100111001000…
…00001011100111000
31021002211210122022222
430103210001130320
5204030024041440
610023042503212
7645301412525
oct142344013470
937084718288
1013213112120
11567050377a
122689064b08
13132759a250
148d4ba214c
15524eeb2b5
hex313901738

13213112120 has 64 divisors (see below), whose sum is σ = 32042636640. Its totient is φ = 4874688000.

The previous prime is 13213112083. The next prime is 13213112123. The reversal of 13213112120 is 2121131231.

It is a super-4 number, since 4×132131121204 (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13213112123) 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, 666755 + ... + 686285.

Almost surely, 213213112120 is an apocalyptic number.

13213112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13213112120 is an abundant number, since it is smaller than the sum of its proper divisors (18829524520).

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

13213112120 is a wasteful number, since it uses less digits than its factorization.

13213112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20856 (or 20852 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 13213112120 its reverse (2121131231), we get a palindrome (15334243351).

The spelling of 13213112120 in words is "thirteen billion, two hundred thirteen million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1301 2602 5204 6505 10408 13010 16913 19531 26020 33826 39062 52040 67652 78124 84565 97655 135304 156248 169130 195310 253903 338260 390620 507806 676520 781240 1015612 1269515 2031224 2539030 5078060 10156120 25409831 50819662 101639324 127049155 203278648 254098310 330327803 508196620 660655606 1016393240 1321311212 1651639015 2642622424 3303278030 6606556060 13213112120