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202120031 = 3171131701
BaseRepresentation
bin11000000110000…
…01101101011111
3112002022202120002
430003001231133
5403220320111
632020044515
75002664141
oct1403015537
9462282502
10202120031
11a4100853
125783373b
1332b4a269
141cbb4c91
1512b2763b
hexc0c1b5f

202120031 has 16 divisors (see below), whose sum is σ = 213497856. Its totient is φ = 191100000.

The previous prime is 202119989. The next prime is 202120091. The reversal of 202120031 is 130021202.

It is a happy number.

202120031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 202120031 - 214 = 202103647 is a prime.

It is a super-2 number, since 2×2021200312 = 81705013862881922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 202119994 and 202120021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202120091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287981 + ... + 288681.

It is an arithmetic number, because the mean of its divisors is an integer number (13343616).

Almost surely, 2202120031 is an apocalyptic number.

202120031 is a deficient number, since it is larger than the sum of its proper divisors (11377825).

202120031 is a wasteful number, since it uses less digits than its factorization.

202120031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 202120031 is about 14216.8924522907. The cubic root of 202120031 is about 586.8626252597.

Adding to 202120031 its reverse (130021202), we get a palindrome (332141233).

The spelling of 202120031 in words is "two hundred two million, one hundred twenty thousand, thirty-one".

Divisors: 1 31 71 131 701 2201 4061 9301 21731 49771 91831 288331 1542901 2846761 6520001 202120031