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21331131113322 = 233609989647587
BaseRepresentation
bin1001101100110100010100…
…11111100001111101101010
32210112020101012111101001000
410312122022133201331222
510243442124031111242
6113211215241335430
74331060212551522
oct466321237417552
983466335441030
1021331131113322
116884533459458
122486148797576
13bb9694bc8894
1453a60a16c682
1526ed11d64a4c
hex13668a7e1f6a

21331131113322 has 32 divisors (see below), whose sum is σ = 47402664494400. Its totient is φ = 7110354401424.

The previous prime is 21331131113321. The next prime is 21331131113339. The reversal of 21331131113322 is 22331113113312.

21331131113322 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 11 + 311 + 1 + 332 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21331131113321) 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, 32615613 + ... + 33263199.

It is an arithmetic number, because the mean of its divisors is an integer number (1481333265450).

Almost surely, 221331131113322 is an apocalyptic number.

21331131113322 is an abundant number, since it is smaller than the sum of its proper divisors (26071533381078).

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

21331131113322 is a wasteful number, since it uses less digits than its factorization.

21331131113322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257587 (or 1257581 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

Adding to 21331131113322 its reverse (22331113113312), we get a palindrome (43662244226634).

The spelling of 21331131113322 in words is "twenty-one trillion, three hundred thirty-one billion, one hundred thirty-one million, one hundred thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 609989 647587 1219978 1295174 1829967 1942761 3659934 3885522 5489901 5828283 10979802 11656566 16469703 17484849 32939406 34969698 395020946543 790041893086 1185062839629 2370125679258 3555188518887 7110377037774 10665565556661 21331131113322