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21331320351255 = 32531103148458923
BaseRepresentation
bin1001101100110100101011…
…10001011010101000010111
32210112020212101120122200100
410312122111301122220113
510243443021002220010
6113211250121345143
74331065001213565
oct466322561325027
983466771518610
1021331320351255
116884620260742
1224861a00381b3
13bb96c51854a5
1453a62734ca35
1526ed237952c0
hex136695c5aa17

21331320351255 has 48 divisors (see below), whose sum is σ = 38537561327616. Its totient is φ = 10902823231680.

The previous prime is 21331320351239. The next prime is 21331320351277. The reversal of 21331320351255 is 55215302313312.

21331320351255 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 132 + 0 + 3 + 512 + 5 + 5 = 666.

It is not a de Polignac number, because 21331320351255 - 24 = 21331320351239 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74085777 + ... + 74373146.

It is an arithmetic number, because the mean of its divisors is an integer number (802865860992).

Almost surely, 221331320351255 is an apocalyptic number.

21331320351255 is a deficient number, since it is larger than the sum of its proper divisors (17206240976361).

21331320351255 is a wasteful number, since it uses less digits than its factorization.

21331320351255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148459068 (or 148459065 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Adding to 21331320351255 its reverse (55215302313312), we get a palindrome (76546622664567).

The spelling of 21331320351255 in words is "twenty-one trillion, three hundred thirty-one billion, three hundred twenty million, three hundred fifty-one thousand, two hundred fifty-five".

Divisors: 1 3 5 9 15 31 45 93 103 155 279 309 465 515 927 1395 1545 3193 4635 9579 15965 28737 47895 143685 148458923 445376769 742294615 1336130307 2226883845 4602226613 6680651535 13806679839 15291269069 23011133065 41420039517 45873807207 69033399195 76456345345 137621421621 207100197585 229369036035 474029341139 688107108105 1422088023417 2370146705695 4266264070251 7110440117085 21331320351255