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22313310101 = 173313396181
BaseRepresentation
bin10100110001111110…
…100001011110010101
32010121001102121010122
4110301332201132111
5331144201410401
614130043401325
71416642002135
oct246176413625
963531377118
1022313310101
119510311155
1243a8823245
132147a30194
14111961aac5
158a8dbb21b
hex531fa1795

22313310101 has 8 divisors (see below), whose sum is σ = 23633048664. Its totient is φ = 20994370560.

The previous prime is 22313310059. The next prime is 22313310199. The reversal of 22313310101 is 10101331322.

It can be written as a sum of positive squares in 4 ways, for example, as 15221143876 + 7092166225 = 123374^2 + 84215^2 .

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 22313310101 - 26 = 22313310037 is a prime.

It is a super-3 number, since 3×223133101013 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

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 22313310101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22313313101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141770 + ... + 254411.

It is an arithmetic number, because the mean of its divisors is an integer number (2954131083).

Almost surely, 222313310101 is an apocalyptic number.

It is an amenable number.

22313310101 is a deficient number, since it is larger than the sum of its proper divisors (1319738563).

22313310101 is a wasteful number, since it uses less digits than its factorization.

22313310101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399511.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 22313310101 its reverse (10101331322), we get a palindrome (32414641423).

The spelling of 22313310101 in words is "twenty-two billion, three hundred thirteen million, three hundred ten thousand, one hundred one".

Divisors: 1 17 3313 56321 396181 6735077 1312547653 22313310101