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113362712073 = 32132933410761
BaseRepresentation
bin110100110010011110…
…0011011011000001001
3101211121102221110010200
41221210330123120021
53324131323241243
6124024512202413
711122143103512
oct1514474333011
9354542843120
10113362712073
11440933284a6
1219b78b39409
13a8c8098770
1456b5a45a09
152e37436ad3
hex1a64f1b609

113362712073 has 24 divisors (see below), whose sum is σ = 182422760520. Its totient is φ = 67356092160.

The previous prime is 113362712053. The next prime is 113362712117. The reversal of 113362712073 is 370217263311.

113362712073 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 627 + 1 + 20 + 7 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 535824 + 113362176249 = 732^2 + 336693^2 .

It is not a de Polignac number, because 113362712073 - 230 = 112288970249 is a prime.

It is a super-2 number, since 2×1133627120732 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113362712003) 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, 16701988 + ... + 16708773.

It is an arithmetic number, because the mean of its divisors is an integer number (7600948355).

Almost surely, 2113362712073 is an apocalyptic number.

113362712073 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

113362712073 is a deficient number, since it is larger than the sum of its proper divisors (69060048447).

113362712073 is a wasteful number, since it uses less digits than its factorization.

113362712073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33410809 (or 33410806 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

Adding to 113362712073 its reverse (370217263311), we get a palindrome (483579975384).

The spelling of 113362712073 in words is "one hundred thirteen billion, three hundred sixty-two million, seven hundred twelve thousand, seventy-three".

Divisors: 1 3 9 13 29 39 87 117 261 377 1131 3393 33410761 100232283 300696849 434339893 968912069 1303019679 2906736207 3909059037 8720208621 12595856897 37787570691 113362712073