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3121009956 = 223293112
BaseRepresentation
bin1011101000000110…
…1101010100100100
322001111201201210100
42322001231110210
522342434304311
61233410024100
7140225101251
oct27201552444
98044651710
103121009956
111361801a79
12731278030
133a97a306c
14218706428
15133ee8a56
hexba06d524

3121009956 has 27 divisors (see below), whose sum is σ = 7890067003. Its totient is φ = 1040224920.

The previous prime is 3121009883. The next prime is 3121009963. The reversal of 3121009956 is 6599001213.

The square root of 3121009956 is 55866.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×31210099562 = 19481406290902243872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3121009956.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 330541 + ... + 339851.

Almost surely, 23121009956 is an apocalyptic number.

3121009956 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3121009956 is the 55866-th square number.

It is an amenable number.

3121009956 is an abundant number, since it is smaller than the sum of its proper divisors (4769057047).

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

3121009956 is an frugal number, since it uses more digits than its factorization.

3121009956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18632 (or 9316 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The cubic root of 3121009956 is about 1461.3863662547.

Multiplying 3121009956 by its sum of digits (36), we get a square (112356358416 = 3351962).

3121009956 divided by its sum of digits (36) gives a square (86694721 = 93112).

The spelling of 3121009956 in words is "three billion, one hundred twenty-one million, nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 9311 18622 27933 37244 55866 83799 111732 167598 335196 86694721 173389442 260084163 346778884 520168326 780252489 1040336652 1560504978 3121009956