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1102114112011 = 11217531012991
BaseRepresentation
bin10000000010011011000…
…111101100001000001011
310220100202020010210012121
4100002123013230020023
5121024112203041021
62202145414152111
7142424262245263
oct20023307541013
93810666123177
101102114112011
11395449758700
1215971b952637
137cc0ca97523
143b4b21887a3
151da063a4741
hex1009b1ec20b

1102114112011 has 72 divisors (see below), whose sum is σ = 1321275182976. Its totient is φ = 915108480000.

The previous prime is 1102114111957. The next prime is 1102114112101.

It is a happy number.

1102114112011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1102114112011 - 221 = 1102112014859 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1102114112711) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1112122726 + ... + 1112123716.

It is an arithmetic number, because the mean of its divisors is an integer number (18351044208).

Almost surely, 21102114112011 is an apocalyptic number.

1102114112011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1102114112011 is a deficient number, since it is larger than the sum of its proper divisors (219161070965).

1102114112011 is a wasteful number, since it uses less digits than its factorization.

1102114112011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

The spelling of 1102114112011 in words is "one trillion, one hundred two billion, one hundred fourteen million, one hundred twelve thousand, eleven".

Divisors: 1 11 17 53 101 121 187 583 901 991 1111 1717 2057 5353 6413 9911 10201 10901 12221 16847 18887 52523 58883 91001 100091 109021 112211 119911 173417 185317 207757 540653 577753 647713 892891 1001011 1101001 1234321 1701547 1907587 2038487 5304823 5947183 6355283 9191101 9821801 10109191 11011121 12111011 18717017 20983457 58353053 65419013 90181991 101102111 108039811 111201101 171856247 205887187 535787123 641883583 992001901 1112123221 1223212111 1890418717 5893658353 9108381091 10912020911 20794605887 64830241883 100192192001 1102114112011