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20221322220031 = 372745719904659
BaseRepresentation
bin1001001100100001001001…
…01110100101000111111111
32122121010202201021012022011
410212100210232211013333
510122301231442020111
6111001314105232051
74154641133606452
oct446204456450777
978533681235264
1020221322220031
1164968a6251789
12232703ba92627
13b38b29bc554a
144dca0808b499
1525100a1a5021
hex126424ba51ff

20221322220031 has 8 divisors (see below), whose sum is σ = 20768601862640. Its totient is φ = 19674082441728.

The previous prime is 20221322220013. The next prime is 20221322220041. The reversal of 20221322220031 is 13002222312202.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 20221322220031 - 29 = 20221322219519 is a prime.

It is a super-2 number, since 2×202213222200312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20221322219984 and 20221322220011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20221322220041) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8936421 + ... + 10968238.

It is an arithmetic number, because the mean of its divisors is an integer number (2596075232830).

Almost surely, 220221322220031 is an apocalyptic number.

20221322220031 is a deficient number, since it is larger than the sum of its proper divisors (547279642609).

20221322220031 is a wasteful number, since it uses less digits than its factorization.

20221322220031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19932153.

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 20221322220031 its reverse (13002222312202), we get a palindrome (33223544532233).

The spelling of 20221322220031 in words is "twenty trillion, two hundred twenty-one billion, three hundred twenty-two million, two hundred twenty thousand, thirty-one".

Divisors: 1 37 27457 1015909 19904659 736472383 546522222163 20221322220031