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113391807169 = 1923724792
BaseRepresentation
bin110100110011010101…
…1011010101011000001
3101211200110200122002211
41221212223122223001
53324211300312134
6124031431542121
711122645313044
oct1514653325301
9354613618084
10113391807169
11440a87a0033
1219b8682a941
13a9011148b4
1456b985ac5b
152e39c82764
hex1a66adaac1

113391807169 has 27 divisors (see below), whose sum is σ = 123253060707. Its totient is φ = 104302265328.

The previous prime is 113391807163. The next prime is 113391807173. The reversal of 113391807169 is 961708193311.

The square root of 113391807169 is 336737.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 101464546225 + 11927260944 = 318535^2 + 109212^2 .

It is not a de Polignac number, because 113391807169 - 219 = 113391282881 is a prime.

It is a super-2 number, since 2×1133918071692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113391807163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 236725872 + ... + 236726350.

Almost surely, 2113391807169 is an apocalyptic number.

113391807169 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

113391807169 is the 336737-th square number.

113391807169 is the 168369-th centered octagonal number.

It is an amenable number.

113391807169 is a deficient number, since it is larger than the sum of its proper divisors (9861253538).

113391807169 is an frugal number, since it uses more digits than its factorization.

113391807169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 49.

Multiplying 113391807169 by its sum of digits (49), we get a square (5556198551281 = 23571592).

The spelling of 113391807169 in words is "one hundred thirteen billion, three hundred ninety-one million, eight hundred seven thousand, one hundred sixty-nine".

Divisors: 1 19 37 361 479 703 1369 9101 13357 17723 26011 172919 229441 336737 494209 655751 4359379 6398003 8489317 12459269 82828201 161297023 236726111 314104729 3064643437 5967989851 113391807169