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2310112110132 = 2232373118155621
BaseRepresentation
bin100001100111011101011…
…010010110011000110100
322011211210200111022000200
4201213131122112120310
5300322102200011012
64525130103440500
7325620505643151
oct41473532263064
98154720438020
102310112110132
118107930750a2
1231386ba56130
13139ac53740a8
147db4a9b9228
15401582e23dc
hex219dd696634

2310112110132 has 72 divisors (see below), whose sum is σ = 5997573195432. Its totient is φ = 749188051200.

The previous prime is 2310112110107. The next prime is 2310112110139.

2310112110132 is a `hidden beast` number, since 2 + 310 + 11 + 211 + 0 + 132 = 666.

2310112110132 is nontrivially palindromic in base 10.

2310112110132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2708577936 + 2307403532196 = 52044^2 + 1519014^2 .

It is a super-2 number, since 2×23101121101322 (a number of 26 digits) contains 22 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 not an unprimeable number, because it can be changed into a prime (2310112110139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41505282 + ... + 41560902.

Almost surely, 22310112110132 is an apocalyptic number.

It is an amenable number.

2310112110132 is an abundant number, since it is smaller than the sum of its proper divisors (3687461085300).

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

2310112110132 is a wasteful number, since it uses less digits than its factorization.

2310112110132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86849 (or 86844 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 2310112110132 in words is "two trillion, three hundred ten billion, one hundred twelve million, one hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 31181 55621 62362 93543 111242 124724 166863 187086 222484 280629 333726 374172 500589 561258 667452 1001178 1122516 1153697 2002356 2057977 2307394 3461091 4115954 4614788 6173931 6922182 8231908 10383273 12347862 13844364 18521793 20766546 24695724 37043586 41533092 74087172 1734318401 3468636802 5202955203 6937273604 10405910406 15608865609 20811820812 31217731218 62435462436 64169780837 128339561674 192509342511 256679123348 385018685022 577528027533 770037370044 1155056055066 2310112110132