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202142031 = 37133312237
BaseRepresentation
bin11000000110001…
…11000101001111
3112002100212201220
430003013011033
5403222021111
632020334423
75003115240
oct1403070517
9462325656
10202142031
11a4116333
1257844413
1332b57290
141cbbccc7
1512b2de06
hexc0c714f

202142031 has 32 divisors (see below), whose sum is σ = 332871168. Its totient is φ = 106254720.

The previous prime is 202142029. The next prime is 202142069. The reversal of 202142031 is 130241202.

It is not a de Polignac number, because 202142031 - 21 = 202142029 is a prime.

It is a super-2 number, since 2×2021420312 = 81722801393609922, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 202142031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202142021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89245 + ... + 91481.

It is an arithmetic number, because the mean of its divisors is an integer number (10402224).

Almost surely, 2202142031 is an apocalyptic number.

202142031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

202142031 is a deficient number, since it is larger than the sum of its proper divisors (130729137).

202142031 is a wasteful number, since it uses less digits than its factorization.

202142031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 202142031 is about 14217.6661586914. Note that the first 3 decimals coincide. The cubic root of 202142031 is about 586.8839170787.

Adding to 202142031 its reverse (130241202), we get a palindrome (332383233).

The spelling of 202142031 in words is "two hundred two million, one hundred forty-two thousand, thirty-one".

Divisors: 1 3 7 13 21 39 91 273 331 993 2237 2317 4303 6711 6951 12909 15659 29081 30121 46977 87243 90363 203567 610701 740447 2221341 5183129 9625811 15549387 28877433 67380677 202142031