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113971041 = 3253337709
BaseRepresentation
bin1101100101100…
…00111101100001
321221110022212200
412302300331201
5213134033131
615150443413
72552511042
oct662607541
9257408780
10113971041
1159374148
1232203569
131a7c59b2
14111ca8c9
15a0142e6
hex6cb0f61

113971041 has 24 divisors (see below), whose sum is σ = 168465960. Its totient is φ = 74221056.

The previous prime is 113971007. The next prime is 113971051. The reversal of 113971041 is 140179311.

It can be written as a sum of positive squares in 4 ways, for example, as 3721041 + 110250000 = 1929^2 + 10500^2 .

It is not a de Polignac number, because 113971041 - 215 = 113938273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113970996 and 113971014.

It is not an unprimeable number, because it can be changed into a prime (113971051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160395 + ... + 161103.

It is an arithmetic number, because the mean of its divisors is an integer number (7019415).

Almost surely, 2113971041 is an apocalyptic number.

It is an amenable number.

113971041 is a deficient number, since it is larger than the sum of its proper divisors (54494919).

113971041 is a wasteful number, since it uses less digits than its factorization.

113971041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 113971041 is about 10675.7220364714. The cubic root of 113971041 is about 484.8396976160.

The spelling of 113971041 in words is "one hundred thirteen million, nine hundred seventy-one thousand, forty-one".

Divisors: 1 3 9 53 159 337 477 709 1011 2127 3033 6381 17861 37577 53583 112731 160749 238933 338193 716799 2150397 12663449 37990347 113971041