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113676191281 = 241213992
BaseRepresentation
bin110100111011110100…
…0010000011000110001
3101212102021210211202201
41221313220100120301
53330302101110111
6124115551143201
711133000453202
oct1516750203061
9355367724681
10113676191281
1144234279024
121a045b14b01
13a948005913
1457055275a9
152e54c096c1
hex1a77a10631

113676191281 has 9 divisors (see below), whose sum is σ = 114231486123. Its totient is φ = 113123587680.

The previous prime is 113676191269. The next prime is 113676191287. The reversal of 113676191281 is 182191676311.

The square root of 113676191281 is 337159.

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., 85492496881 + 28183694400 = 292391^2 + 167880^2 .

It is not a de Polignac number, because 113676191281 - 211 = 113676189233 is a prime.

It is a super-2 number, since 2×1136761912812 (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 (113676191287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 81254620 + ... + 81256018.

It is an arithmetic number, because the mean of its divisors is an integer number (12692387347).

Almost surely, 2113676191281 is an apocalyptic number.

113676191281 is the 337159-th square number.

113676191281 is the 168580-th centered octagonal number.

It is an amenable number.

113676191281 is a deficient number, since it is larger than the sum of its proper divisors (555294842).

113676191281 is an frugal number, since it uses more digits than its factorization.

113676191281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3280 (or 1640 counting only the distinct ones).

The product of its digits is 108864, while the sum is 46.

The spelling of 113676191281 in words is "one hundred thirteen billion, six hundred seventy-six million, one hundred ninety-one thousand, two hundred eighty-one".

Divisors: 1 241 1399 58081 337159 1957201 81255319 471685441 113676191281