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110230872405160 = 235131933648116921
BaseRepresentation
bin11001000100000100011111…
…111111100011010010101000
3112110021222011000201010212211
4121010010133333203102220
5103422010311313431120
61030235210320414504
732134626530550643
oct3104043777432250
9473258130633784
10110230872405160
113213971783a321
1210443594177434
13496795a639aa0
141d312ba282a5a
15cb255818b25a
hex64411ffe34a8

110230872405160 has 128 divisors (see below), whose sum is σ = 267293090403360. Its totient is φ = 40670893670400.

The previous prime is 110230872405127. The next prime is 110230872405197. The reversal of 110230872405160 is 61504278032011.

It can be written as a sum of positive squares in 16 ways, for example, as 36375445814436 + 73855426590724 = 6031206^2 + 8593918^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6514433500 + ... + 6514450420.

Almost surely, 2110230872405160 is an apocalyptic number.

110230872405160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110230872405160 is an abundant number, since it is smaller than the sum of its proper divisors (157062217998200).

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

110230872405160 is a wasteful number, since it uses less digits than its factorization.

110230872405160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25359 (or 25355 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 110230872405160 in words is "one hundred ten trillion, two hundred thirty billion, eight hundred seventy-two million, four hundred five thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1933 3866 6481 7732 9665 12962 15464 16921 19330 25129 25924 32405 33842 38660 50258 51848 64810 67684 77320 84253 84605 100516 125645 129620 135368 168506 169210 201032 219973 251290 259240 337012 338420 421265 439946 502580 674024 676840 842530 879892 1005160 1099865 1685060 1759784 2199730 3370120 4399460 8798920 12527773 25055546 32708293 50111092 62638865 65416586 100222184 109665001 125277730 130833172 162861049 163541465 219330002 250555460 261666344 325722098 327082930 425207809 438660004 501110920 548325005 651444196 654165860 814305245 850415618 877320008 1096650010 1302888392 1308331720 1425645013 1628610490 1700831236 2126039045 2193300020 2851290026 3257220980 3401662472 4252078090 4386600040 5702580052 6514441960 7128225065 8504156180 11405160104 14256450130 17008312360 28512900260 57025800520 211982446933 423964893866 847929787732 1059912234665 1695859575464 2119824469330 2755771810129 4239648938660 5511543620258 8479297877320 11023087240516 13778859050645 22046174481032 27557718101290 55115436202580 110230872405160