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202312212421131 = 32181604720538137
BaseRepresentation
bin101110000000000001111011…
…100011100001101000001011
3222112022212011221020012122100
4232000001323203201220023
5203004140402334434011
61554140540342124443
760420401136521451
oct5600017343415013
9875285157205570
10202312212421131
115951014470915a
121a835566720723
1388b6c627cc537
1437d5d6b52a9d1
15185c91195ad56
hexb8007b8e1a0b

202312212421131 has 24 divisors (see below), whose sum is σ = 293891882304384. Its totient is φ = 134107455876480.

The previous prime is 202312212421129. The next prime is 202312212421153. The reversal of 202312212421131 is 131124212213202.

202312212421131 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 1 + 221 + 2 + 421 + 13 + 1 = 666.

It is not a de Polignac number, because 202312212421131 - 21 = 202312212421129 is a prime.

It is a super-2 number, since 2×2023122124211312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202312212421095 and 202312212421104.

It is not an unprimeable number, because it can be changed into a prime (202312212461131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418506 + ... + 20119631.

It is an arithmetic number, because the mean of its divisors is an integer number (12245495096016).

Almost surely, 2202312212421131 is an apocalyptic number.

202312212421131 is a deficient number, since it is larger than the sum of its proper divisors (91579669883253).

202312212421131 is a wasteful number, since it uses less digits than its factorization.

202312212421131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20544371 (or 20544368 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 202312212421131 its reverse (131124212213202), we get a palindrome (333436424634333).

The spelling of 202312212421131 in words is "two hundred two trillion, three hundred twelve billion, two hundred twelve million, four hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 181 543 1629 6047 18141 54423 1094507 3283521 9850563 20538137 61614411 184843233 3717402797 11152208391 33456625173 124194114439 372582343317 1117747029951 22479134713459 67437404140377 202312212421131