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3121100031 = 37329412551
BaseRepresentation
bin1011101000001000…
…0011010011111111
322001111220022100110
42322002003103333
522343000200111
61233412001103
7140225625000
oct27202032377
98044808313
103121100031
111361863715
12731300193
133a980506a
1421872b1a7
151340155a6
hexba0834ff

3121100031 has 64 divisors (see below), whose sum is σ = 5144832000. Its totient is φ = 1679328000.

The previous prime is 3121099981. The next prime is 3121100041. The reversal of 3121100031 is 1300011213.

It is not a de Polignac number, because 3121100031 - 26 = 3121099967 is a prime.

It is a super-2 number, since 2×31211000312 = 19482530807016401922, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121100041) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1222206 + ... + 1224756.

It is an arithmetic number, because the mean of its divisors is an integer number (80388000).

Almost surely, 23121100031 is an apocalyptic number.

3121100031 is a deficient number, since it is larger than the sum of its proper divisors (2023731969).

3121100031 is a wasteful number, since it uses less digits than its factorization.

3121100031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2645 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 3121100031 is about 55866.8061643048. The cubic root of 3121100031 is about 1461.4004250703.

Adding to 3121100031 its reverse (1300011213), we get a palindrome (4421111244).

The spelling of 3121100031 in words is "three billion, one hundred twenty-one million, one hundred thousand, thirty-one".

Divisors: 1 3 7 21 29 41 49 87 123 147 203 287 343 609 861 1029 1189 1421 2009 2551 3567 4263 6027 7653 8323 9947 14063 17857 24969 29841 42189 53571 58261 73979 104591 124999 174783 221937 313773 374997 407827 517853 732137 874993 1223481 1553559 2196411 2624979 3033139 3624971 5124959 9099417 10874913 15374877 21231973 25374797 35874713 63695919 76124391 107624139 148623811 445871433 1040366677 3121100031