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202131313202120 = 23541123250800733
BaseRepresentation
bin101101111101011001011101…
…000111110001001111001000
3222111200120020202102201210212
4231331121131013301033020
5202443204412134431440
61553521502100100252
760401335241524541
oct5575313507611710
9874616222381725
10202131313202120
1159450454828475
121a80649b994688
1388a2b937a5c43
1437cb2ca1394c8
151857d7532c465
hexb7d65d1f13c8

202131313202120 has 32 divisors (see below), whose sum is σ = 465888026774520. Its totient is φ = 78880512468480.

The previous prime is 202131313202101. The next prime is 202131313202131. The reversal of 202131313202120 is 21202313131202.

It can be written as a sum of positive squares in 4 ways, for example, as 177349893329284 + 24781419872836 = 13317278^2 + 4978094^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61625398727 + ... + 61625402006.

Almost surely, 2202131313202120 is an apocalyptic number.

202131313202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202131313202120 is an abundant number, since it is smaller than the sum of its proper divisors (263756713572400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

202131313202120 is a wasteful number, since it uses less digits than its factorization.

202131313202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123250800785 (or 123250800781 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 202131313202120 its reverse (21202313131202), we get a palindrome (223333626333322).

The spelling of 202131313202120 in words is "two hundred two trillion, one hundred thirty-one billion, three hundred thirteen million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 123250800733 246501601466 493003202932 616254003665 986006405864 1232508007330 2465016014660 4930032029320 5053282830053 10106565660106 20213131320212 25266414150265 40426262640424 50532828300530 101065656601060 202131313202120