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10203202131 = 3109173180361
BaseRepresentation
bin10011000000010100…
…01000001001010011
3222100002010101001020
421200022020021103
5131344004432011
64404242010523
7510562533663
oct114012101123
928302111036
1010203202131
114366494861
121b89046a43
13c67b26115
146cb13a1a3
153eab4b006
hex260288253

10203202131 has 16 divisors (see below), whose sum is σ = 13808514720. Its totient is φ = 6700734720.

The previous prime is 10203202127. The next prime is 10203202151. The reversal of 10203202131 is 13120230201.

It is not a de Polignac number, because 10203202131 - 22 = 10203202127 is a prime.

It is a super-2 number, since 2×102032021312 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10203202131.

It is not an unprimeable number, because it can be changed into a prime (10203202151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33610 + ... + 146751.

It is an arithmetic number, because the mean of its divisors is an integer number (863032170).

Almost surely, 210203202131 is an apocalyptic number.

10203202131 is a deficient number, since it is larger than the sum of its proper divisors (3605312589).

10203202131 is a wasteful number, since it uses less digits than its factorization.

10203202131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180646.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10203202131 its reverse (13120230201), we get a palindrome (23323432332).

The spelling of 10203202131 in words is "ten billion, two hundred three million, two hundred two thousand, one hundred thirty-one".

Divisors: 1 3 109 173 327 519 18857 56571 180361 541083 19659349 31202453 58978047 93607359 3401067377 10203202131