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21331013331303 = 3313372343170099
BaseRepresentation
bin1001101100110100000110…
…11110001110100101100111
32210112020001222212102111000
410312122003132032211213
510243441403403100203
6113211155433044343
74331054252455644
oct466320336164547
983466058772430
1021331013331303
116884482a22045
1224861152566b3
13bb967669a390
1453a5d866cdcb
1526ed0684b4a3
hex13668378e967

21331013331303 has 64 divisors (see below), whose sum is σ = 34954170496000. Its totient is φ = 12771272384640.

The previous prime is 21331013331227. The next prime is 21331013331311. The reversal of 21331013331303 is 30313331013312.

21331013331303 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 10 + 13 + 331 + 303 = 666.

It is not a de Polignac number, because 21331013331303 - 29 = 21331013330791 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21331013331403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 304263348 + ... + 304333446.

It is an arithmetic number, because the mean of its divisors is an integer number (546158914000).

Almost surely, 221331013331303 is an apocalyptic number.

21331013331303 is a deficient number, since it is larger than the sum of its proper divisors (13623157164697).

21331013331303 is a wasteful number, since it uses less digits than its factorization.

21331013331303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93589 (or 93583 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 21331013331303 its reverse (30313331013312), we get a palindrome (51644344344615).

The spelling of 21331013331303 in words is "twenty-one trillion, three hundred thirty-one billion, thirteen million, three hundred thirty-one thousand, three hundred three".

Divisors: 1 3 9 13 27 37 39 111 117 333 351 481 999 1443 4329 12987 23431 70099 70293 210297 210879 304603 630891 632637 866947 911287 913809 1892673 2593663 2600841 2733861 2741427 7780989 7802523 8201583 8224281 11270311 23342967 23407569 24604749 33717619 33810933 70028901 101152857 101432799 303458571 304298397 910375713 1642489669 4927469007 14782407021 21352365697 44347221063 60772117753 64057097091 182316353259 192171291273 546949059777 576513873819 790037530789 1640847179331 2370112592367 7110337777101 21331013331303