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110311668072 = 2333691173897
BaseRepresentation
bin110011010111100010…
…1100111100101101000
3101112201210212100121000
41212233011213211220
53301404241334242
6122402041515000
710653424464504
oct1465705474550
9345653770530
10110311668072
1142868073a31
12194671a2a60
13a52cc51898
1454a6753304
152d0965da4c
hex19af167968

110311668072 has 64 divisors (see below), whose sum is σ = 306469785600. Its totient is φ = 36764737920.

The previous prime is 110311668059. The next prime is 110311668079. The reversal of 110311668072 is 270866113011.

It is a super-2 number, since 2×1103116680722 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (110311668079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1455828 + ... + 1529724.

It is an arithmetic number, because the mean of its divisors is an integer number (4788590400).

Almost surely, 2110311668072 is an apocalyptic number.

110311668072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110311668072 is an abundant number, since it is smaller than the sum of its proper divisors (196158117528).

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

110311668072 is a wasteful number, since it uses less digits than its factorization.

110311668072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80823 (or 80813 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 110311668072 in words is "one hundred ten billion, three hundred eleven million, six hundred sixty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 6911 13822 20733 27644 41466 55288 62199 73897 82932 124398 147794 165864 186597 221691 248796 295588 373194 443382 497592 591176 665073 746388 886764 1330146 1492776 1773528 1995219 2660292 3990438 5320584 7980876 15961752 510702167 1021404334 1532106501 2042808668 3064213002 4085617336 4596319503 6128426004 9192639006 12256852008 13788958509 18385278012 27577917018 36770556024 55155834036 110311668072