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22310313102 = 232711711911187
BaseRepresentation
bin10100110001110011…
…000101110010001110
32010120211210100000200
4110301303011302032
5331142420004402
614125455234330
71416604350420
oct246163056216
963524710020
1022310313102
1195096544a0
1243a78189a6
132147220ccc
14111907a810
158a89c821c
hex531cc5c8e

22310313102 has 192 divisors, whose sum is σ = 61487382528. Its totient is φ = 5678568000.

The previous prime is 22310313083. The next prime is 22310313131. The reversal of 22310313102 is 20131301322.

It is a super-3 number, since 3×223103131023 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 18794953 + ... + 18796139.

It is an arithmetic number, because the mean of its divisors is an integer number (320246784).

Almost surely, 222310313102 is an apocalyptic number.

22310313102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22310313102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30743691264).

22310313102 is an abundant number, since it is smaller than the sum of its proper divisors (39177069426).

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

22310313102 is a wasteful number, since it uses less digits than its factorization.

22310313102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 22310313102 its reverse (20131301322), we get a palindrome (42441614424).

The spelling of 22310313102 in words is "twenty-two billion, three hundred ten million, three hundred thirteen thousand, one hundred two".