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202131211321000 = 23531315548554717
BaseRepresentation
bin101101111101011001010111…
…000011000111111010101000
3222111200112222122201122012001
4231331121113003013322220
5202443204210044233000
61553521444020300344
760401332563536203
oct5575312703077250
9874615878648161
10202131211321000
11594504022716a5
121a8064718416b4
1388a2b78654160
1437cb2ba7b893a
151857d6b40546a
hexb7d6570c7ea8

202131211321000 has 64 divisors (see below), whose sum is σ = 509370652561680. Its totient is φ = 74633062636800.

The previous prime is 202131211320979. The next prime is 202131211321001. The reversal of 202131211321000 is 123112131202.

It can be written as a sum of positive squares in 8 ways, for example, as 11711137999716 + 190420073321284 = 3422154^2 + 13799278^2 .

It is not an unprimeable number, because it can be changed into a prime (202131211321001) 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, 7774264359 + ... + 7774290358.

Almost surely, 2202131211321000 is an apocalyptic number.

202131211321000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202131211321000 is an abundant number, since it is smaller than the sum of its proper divisors (307239441240680).

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

202131211321000 is a wasteful number, since it uses less digits than its factorization.

202131211321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15548554751 (or 15548554737 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 202131211321000 its reverse (123112131202), we get a palindrome (202254323452202).

The spelling of 202131211321000 in words is "two hundred two trillion, one hundred thirty-one billion, two hundred eleven million, three hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 13000 15548554717 31097109434 62194218868 77742773585 124388437736 155485547170 202131211321 310971094340 388713867925 404262422642 621942188680 777427735850 808524845284 1010656056605 1554855471700 1617049690568 1943569339625 2021312113210 3109710943400 3887138679250 4042624226420 5053280283025 7774277358500 8085248452840 10106560566050 15548554717000 20213121132100 25266401415125 40426242264200 50532802830250 101065605660500 202131211321000