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22321020401 = 293601126757
BaseRepresentation
bin10100110010011011…
…111011110111110001
32010121120221022200022
4110302123323313301
5331203140123101
614130520533225
71420064354141
oct246233736761
963546838608
1022321020401
1195146a7aa9
1243ab321215
1321494cc7a4
14111a666921
158a98e0a1b
hex5326fbdf1

22321020401 has 8 divisors (see below), whose sum is σ = 22434644904. Its totient is φ = 22207651200.

The previous prime is 22321020367. The next prime is 22321020413. The reversal of 22321020401 is 10402012322.

It can be written as a sum of positive squares in 4 ways, for example, as 11508140176 + 10812880225 = 107276^2 + 103985^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22321020401 is a prime.

It is a super-3 number, since 3×223210204013 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22321020401.

It is not an unprimeable number, because it can be changed into a prime (22321010401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112715 + ... + 239471.

It is an arithmetic number, because the mean of its divisors is an integer number (2804330613).

Almost surely, 222321020401 is an apocalyptic number.

It is an amenable number.

22321020401 is a deficient number, since it is larger than the sum of its proper divisors (113624503).

22321020401 is a wasteful number, since it uses less digits than its factorization.

22321020401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127651.

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 22321020401 its reverse (10402012322), we get a palindrome (32723032723).

The spelling of 22321020401 in words is "twenty-two billion, three hundred twenty-one million, twenty thousand, four hundred one".

Divisors: 1 293 601 126757 176093 37139801 76180957 22321020401