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213012012120 = 233517104417653
BaseRepresentation
bin1100011001100010000…
…0010101110001011000
3202100211011200101111020
43012120200111301120
511442222033341440
6241504550402440
721250431141255
oct3063040256130
9670734611436
10213012012120
1182379800526
1235349360420
131711903852b
14a44a29642c
15581a99a3d0
hex3198815c58

213012012120 has 64 divisors (see below), whose sum is σ = 676626397920. Its totient is φ = 53461837824.

The previous prime is 213012012071. The next prime is 213012012151. The reversal of 213012012120 is 21210210312.

It is a super-2 number, since 2×2130120121202 (a number of 23 digits) 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 213012012120.

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, 52206787 + ... + 52210866.

Almost surely, 2213012012120 is an apocalyptic number.

213012012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213012012120 is an abundant number, since it is smaller than the sum of its proper divisors (463614385800).

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

213012012120 is a wasteful number, since it uses less digits than its factorization.

213012012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104417684 (or 104417680 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 213012012120 its reverse (21210210312), we get a palindrome (234222222432).

The spelling of 213012012120 in words is "two hundred thirteen billion, twelve million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 104417653 208835306 313252959 417670612 522088265 626505918 835341224 1044176530 1253011836 1566264795 1775100101 2088353060 2506023672 3132529590 3550200202 4176706120 5325300303 6265059180 7100400404 8875500505 10650600606 12530118360 14200800808 17751001010 21301201212 26626501515 35502002020 42602402424 53253003030 71004004040 106506006060 213012012120