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2131212120 = 233535574993
BaseRepresentation
bin111111100000111…
…1011011101011000
312111112020210102020
41333001323131120
513331042241440
6551251134440
7103546001262
oct17701733530
95445223366
102131212120
119a4017234
124b58a4420
1327c6c877b
14163092b32
15c71803d0
hex7f07b758

2131212120 has 64 divisors (see below), whose sum is σ = 6396714720. Its totient is φ = 568049664.

The previous prime is 2131212077. The next prime is 2131212163. The reversal of 2131212120 is 212121312.

It is an interprime number because it is at equal distance from previous prime (2131212077) and next prime (2131212163).

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 2131212120.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 424344 + ... + 429336.

Almost surely, 22131212120 is an apocalyptic number.

2131212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131212120 is an abundant number, since it is smaller than the sum of its proper divisors (4265502600).

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

2131212120 is a wasteful number, since it uses less digits than its factorization.

2131212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8564 (or 8560 counting only the distinct ones).

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

The square root of 2131212120 is about 46165.0530163239. The cubic root of 2131212120 is about 1286.8923694487.

Adding to 2131212120 its reverse (212121312), we get a palindrome (2343333432).

The spelling of 2131212120 in words is "two billion, one hundred thirty-one million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3557 4993 7114 9986 10671 14228 14979 17785 19972 21342 24965 28456 29958 35570 39944 42684 49930 53355 59916 71140 74895 85368 99860 106710 119832 142280 149790 199720 213420 299580 426840 599160 17760101 35520202 53280303 71040404 88800505 106560606 142080808 177601010 213121212 266401515 355202020 426242424 532803030 710404040 1065606060 2131212120