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22310102120 = 23523119320327
BaseRepresentation
bin10100110001110010…
…010010010001101000
32010120211101121121112
4110301302102101220
5331142341231440
614125450525452
71416602511335
oct246162222150
963524347545
1022310102120
11950951aa29
1243a7736888
132147178c77
14111902398c
158a8985965
hex531c92468

22310102120 has 64 divisors (see below), whose sum is σ = 52426725120. Its totient is φ = 8528464384.

The previous prime is 22310102093. The next prime is 22310102147. The reversal of 22310102120 is 2120101322.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22310102093) and next prime (22310102147).

It is a super-3 number, since 3×223101021203 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22310102095 and 22310102104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1087397 + ... + 1107723.

It is an arithmetic number, because the mean of its divisors is an integer number (819167580).

Almost surely, 222310102120 is an apocalyptic number.

22310102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22310102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26213362560).

22310102120 is an abundant number, since it is smaller than the sum of its proper divisors (30116623000).

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

22310102120 is a wasteful number, since it uses less digits than its factorization.

22310102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21554 (or 21550 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 22310102120 its reverse (2120101322), we get a palindrome (24430203442).

The spelling of 22310102120 in words is "twenty-two billion, three hundred ten million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 1193 2386 4772 5965 9544 11930 20327 23860 27439 40654 47720 54878 81308 101635 109756 137195 162616 203270 219512 274390 406540 467521 548780 813080 935042 1097560 1870084 2337605 3740168 4675210 9350420 18700840 24250111 48500222 97000444 121250555 194000888 242501110 485002220 557752553 970004440 1115505106 2231010212 2788762765 4462020424 5577525530 11155051060 22310102120