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202102120031 = 7231737256027
BaseRepresentation
bin1011110000111000111…
…0011001111001011111
3201022122211210110001212
42330032032121321133
511302401120320111
6232502221455035
720413164450560
oct2741616317137
9638584713055
10202102120031
1178790418089
123320371147b
131609a99cc96
149ad3360167
1553ccca998b
hex2f0e399e5f

202102120031 has 16 divisors (see below), whose sum is σ = 242409383424. Its totient is φ = 164740814304.

The previous prime is 202102120027. The next prime is 202102120141. The reversal of 202102120031 is 130021201202.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 202102120031 - 22 = 202102120027 is a prime.

It is a super-2 number, since 2×2021021200312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 202102119988 and 202102120015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202102120021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3600161 + ... + 3655866.

It is an arithmetic number, because the mean of its divisors is an integer number (15150586464).

Almost surely, 2202102120031 is an apocalyptic number.

202102120031 is a deficient number, since it is larger than the sum of its proper divisors (40307263393).

202102120031 is a wasteful number, since it uses less digits than its factorization.

202102120031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7256230.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 202102120031 its reverse (130021201202), we get a palindrome (332123321233).

The spelling of 202102120031 in words is "two hundred two billion, one hundred two million, one hundred twenty thousand, thirty-one".

Divisors: 1 7 23 161 173 1211 3979 27853 7256027 50792189 166888621 1168220347 1255292671 8787048697 28871731433 202102120031