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21332202131331 = 3271366139404909
BaseRepresentation
bin1001101100110110010100…
…10101001000111110000011
32210112100010211210201112200
410312123022111020332003
510244001322221200311
6113211513421124243
74331125566216150
oct466331225107603
983470124721480
1021332202131331
116884a32a79103
1224863a73b9683
13bb9805a6ca50
1453a6ac4c5227
1526ed75dc3556
hex1366ca548f83

21332202131331 has 48 divisors (see below), whose sum is σ = 37981289411520. Its totient is φ = 11235127368960.

The previous prime is 21332202131327. The next prime is 21332202131353. The reversal of 21332202131331 is 13313120223312.

21332202131331 is a `hidden beast` number, since 2 + 1 + 3 + 322 + 0 + 2 + 1 + 3 + 1 + 331 = 666.

It is not a de Polignac number, because 21332202131331 - 22 = 21332202131327 is a prime.

It is a super-2 number, since 2×213322021313312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21332202131295 and 21332202131304.

It is not an unprimeable number, because it can be changed into a prime (21332202131131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19161096 + ... + 20243813.

It is an arithmetic number, because the mean of its divisors is an integer number (791276862740).

Almost surely, 221332202131331 is an apocalyptic number.

21332202131331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21332202131331 is a deficient number, since it is larger than the sum of its proper divisors (16649087280189).

21332202131331 is a wasteful number, since it uses less digits than its factorization.

21332202131331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39405596 (or 39405593 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 21332202131331 its reverse (13313120223312), we get a palindrome (34645322354643).

The spelling of 21332202131331 in words is "twenty-one trillion, three hundred thirty-two billion, two hundred two million, one hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 661 819 1983 4627 5949 8593 13881 25779 41643 60151 77337 180453 541359 39404909 118214727 275834363 354644181 512263817 827503089 1536791451 2482509267 3585846719 4610374353 10757540157 26046644849 32272620471 78139934547 182326513943 234419803641 338606383037 546979541829 1015819149111 1640938625487 2370244681259 3047457447333 7110734043777 21332202131331