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113110322112 = 2632192543967
BaseRepresentation
bin110100101010111100…
…1101000101111000000
3101210221212000201012100
41221111321220233000
53323122220301422
6123543454430400
711112656605644
oct1512571505700
9353855021170
10113110322112
1143a73912157
1219b08502400
13a8879ca2a8
145690306c24
152e201ce7ac
hex1a55e68bc0

113110322112 has 126 divisors (see below), whose sum is σ = 342172735008. Its totient is φ = 35718983424.

The previous prime is 113110322089. The next prime is 113110322119. The reversal of 113110322112 is 211223011311.

It is a super-2 number, since 2×1131103221122 (a number of 23 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 (113110322119) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 64048 + ... + 479919.

Almost surely, 2113110322112 is an apocalyptic number.

113110322112 is a gapful number since it is divisible by the number (12) 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 113110322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171086367504).

113110322112 is an abundant number, since it is smaller than the sum of its proper divisors (229062412896).

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

113110322112 is a wasteful number, since it uses less digits than its factorization.

113110322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544023 (or 543991 counting only the distinct ones).

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

Adding to 113110322112 its reverse (211223011311), we get a palindrome (324333333423).

The spelling of 113110322112 in words is "one hundred thirteen billion, one hundred ten million, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 361 456 576 608 684 722 912 1083 1216 1368 1444 1824 2166 2736 2888 3249 3648 4332 5472 5776 6498 8664 10944 11552 12996 17328 23104 25992 34656 51984 69312 103968 207936 543967 1087934 1631901 2175868 3263802 4351736 4895703 6527604 8703472 9791406 10335373 13055208 17406944 19582812 20670746 26110416 31006119 34813888 39165624 41341492 52220832 62012238 78331248 82682984 93018357 104441664 124024476 156662496 165365968 186036714 196372087 248048952 313324992 330731936 372073428 392744174 496097904 589116261 661463872 744146856 785488348 992195808 1178232522 1488293712 1570976696 1767348783 1984391616 2356465044 2976587424 3141953392 3534697566 4712930088 5953174848 6283906784 7069395132 9425860176 12567813568 14138790264 18851720352 28277580528 37703440704 56555161056 113110322112