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21331112132340 = 22325118506178513
BaseRepresentation
bin1001101100110100010010…
…10111000111111011110100
32210112020022212210001000200
410312122021113013323310
510243442104201213330
6113211213322440500
74331056562325423
oct466321127077364
983466285701020
1021331112132340
11688452377479a
122486142363130
13bb9690cb122a
1453a60782b2ba
1526ed10365a60
hex1366895c7ef4

21331112132340 has 36 divisors (see below), whose sum is σ = 64704373468644. Its totient is φ = 5688296568576.

The previous prime is 21331112132333. The next prime is 21331112132381. The reversal of 21331112132340 is 4323121113312.

21331112132340 is a `hidden beast` number, since 2 + 1 + 3 + 311 + 1 + 2 + 1 + 3 + 2 + 340 = 666.

21331112132340 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2262274695396 + 19068837436944 = 1504086^2 + 4366788^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59253089077 + ... + 59253089436.

Almost surely, 221331112132340 is an apocalyptic number.

21331112132340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21331112132340 is an abundant number, since it is smaller than the sum of its proper divisors (43373261336304).

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

21331112132340 is a wasteful number, since it uses less digits than its factorization.

21331112132340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118506178528 (or 118506178523 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 21331112132340 its reverse (4323121113312), we get a palindrome (25654233245652).

The spelling of 21331112132340 in words is "twenty-one trillion, three hundred thirty-one billion, one hundred twelve million, one hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 118506178513 237012357026 355518535539 474024714052 592530892565 711037071078 1066555606617 1185061785130 1422074142156 1777592677695 2133111213234 2370123570260 3555185355390 4266222426468 5332778033085 7110370710780 10665556066170 21331112132340