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213012313120 = 2556592020223
BaseRepresentation
bin1100011001100010000…
…1011111010000100000
3202100211012020200101101
43012120201133100200
511442222123004440
6241505001044144
721250433533645
oct3063041372040
9670735220341
10213012313120
1182379996692
1235349486654
1317119112539
14a44a333dcc
15581aa0969a
hex319885f420

213012313120 has 48 divisors (see below), whose sum is σ = 504005483520. Its totient is φ = 85075588864.

The previous prime is 213012313099. The next prime is 213012313121. The reversal of 213012313120 is 21313210312.

It is not an unprimeable number, because it can be changed into a prime (213012313121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 904672 + ... + 1115551.

It is an arithmetic number, because the mean of its divisors is an integer number (10500114240).

Almost surely, 2213012313120 is an apocalyptic number.

213012313120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213012313120 is an abundant number, since it is smaller than the sum of its proper divisors (290993170400).

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

213012313120 is a wasteful number, since it uses less digits than its factorization.

213012313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020897 (or 2020889 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 213012313120 its reverse (21313210312), we get a palindrome (234325523432).

The spelling of 213012313120 in words is "two hundred thirteen billion, twelve million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 659 1318 2636 3295 5272 6590 10544 13180 21088 26360 52720 105440 2020223 4040446 8080892 10101115 16161784 20202230 32323568 40404460 64647136 80808920 161617840 323235680 1331326957 2662653914 5325307828 6656634785 10650615656 13313269570 21301231312 26626539140 42602462624 53253078280 106506156560 213012313120