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3102132120 = 2335171520653
BaseRepresentation
bin1011100011100110…
…1100011110011000
322000012012122021020
42320321230132120
522323121211440
61231453242440
7136605454653
oct27071543630
98005178236
103102132120
11135208885a
12726a93420
133a58c3649
14215dd089a
1513251a3d0
hexb8e6c798

3102132120 has 64 divisors (see below), whose sum is σ = 9853837920. Its totient is φ = 778573824.

The previous prime is 3102132091. The next prime is 3102132191. The reversal of 3102132120 is 212312013.

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 3102132120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 758287 + ... + 762366.

Almost surely, 23102132120 is an apocalyptic number.

3102132120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3102132120 is an abundant number, since it is smaller than the sum of its proper divisors (6751705800).

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

3102132120 is a wasteful number, since it uses less digits than its factorization.

3102132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520684 (or 1520680 counting only the distinct ones).

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

The square root of 3102132120 is about 55696.7873400253. The cubic root of 3102132120 is about 1458.4339434769.

Adding to 3102132120 its reverse (212312013), we get a palindrome (3314444133).

The spelling of 3102132120 in words is "three billion, one hundred two million, one hundred thirty-two 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 1520653 3041306 4561959 6082612 7603265 9123918 12165224 15206530 18247836 22809795 25851101 30413060 36495672 45619590 51702202 60826120 77553303 91239180 103404404 129255505 155106606 182478360 206808808 258511010 310213212 387766515 517022020 620426424 775533030 1034044040 1551066060 3102132120