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110000000096 = 2577157711987
BaseRepresentation
bin110011001110010000…
…0101100110001100000
3101111221002101222111122
41212130200230301200
53300240000000341
6122311105431412
710642621400510
oct1463440546140
9344832358448
10110000000096
1142718150198
121939a93b568
13a4b04c9c6c
1454771c3840
152cdc0e794b
hex199c82cc60

110000000096 has 96 divisors (see below), whose sum is σ = 251441874432. Its totient is φ = 46394449920.

The previous prime is 110000000087. The next prime is 110000000101. The reversal of 110000000096 is 690000000011.

It is a super-2 number, since 2×1100000000962 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 9170615 + ... + 9182601.

It is an arithmetic number, because the mean of its divisors is an integer number (2619186192).

Almost surely, 2110000000096 is an apocalyptic number.

110000000096 is a gapful number since it is divisible by the number (16) 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 110000000096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125720937216).

110000000096 is an abundant number, since it is smaller than the sum of its proper divisors (141441874336).

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

110000000096 is a wasteful number, since it uses less digits than its factorization.

110000000096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12652 (or 12644 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The spelling of 110000000096 in words is "one hundred ten billion, ninety-six", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 32 56 71 112 142 224 284 497 568 577 994 1136 1154 1988 2272 2308 3976 4039 4616 7952 8078 9232 11987 15904 16156 18464 23974 32312 40967 47948 64624 81934 83909 95896 129248 163868 167818 191792 286769 327736 335636 383584 573538 655472 671272 851077 1147076 1310944 1342544 1702154 2294152 2685088 3404308 4588304 5957539 6808616 6916499 9176608 11915078 13617232 13832998 23830156 27234464 27665996 47660312 48415493 55331992 95320624 96830986 110663984 190641248 193661972 221327968 387323944 491071429 774647888 982142858 1549295776 1964285716 3437500003 3928571432 6875000006 7857142864 13750000012 15714285728 27500000024 55000000048 110000000096