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22320100021 = 149320946681
BaseRepresentation
bin10100110010011000…
…011011001010110101
32010121112012120011011
4110302120123022311
5331202421200041
614130445112221
71420053501622
oct246230331265
963545176134
1022320100021
11951412955a
1243aab58671
13214926989b
14111a4a7349
158a97ace81
hex53261b2b5

22320100021 has 8 divisors (see below), whose sum is σ = 22477383000. Its totient is φ = 22162917120.

The previous prime is 22320099973. The next prime is 22320100051. The reversal of 22320100021 is 12000102322.

It can be written as a sum of positive squares in 4 ways, for example, as 6623518225 + 15696581796 = 81385^2 + 125286^2 .

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-22320100021 is a prime.

It is a super-3 number, since 3×223201000213 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22320099974 and 22320100010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22320100051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 454801 + ... + 501481.

It is an arithmetic number, because the mean of its divisors is an integer number (2809672875).

Almost surely, 222320100021 is an apocalyptic number.

It is an amenable number.

22320100021 is a deficient number, since it is larger than the sum of its proper divisors (157282979).

22320100021 is a wasteful number, since it uses less digits than its factorization.

22320100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50039.

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 22320100021 its reverse (12000102322), we get a palindrome (34320202343).

The spelling of 22320100021 in words is "twenty-two billion, three hundred twenty million, one hundred thousand, twenty-one".

Divisors: 1 149 3209 46681 478141 6955469 149799329 22320100021