Search a number
-
+
113713835607801 = 32111388355738623
BaseRepresentation
bin11001110110110000010000…
…110001110000011011111001
3112220121221021201110011011200
4121312300100301300123321
5104401041413403422201
61041503225341444413
732644360565364312
oct3166602061603371
9486557251404150
10113713835607801
1133261848761480
1210906605570709
134b5b2267ac470
142011ac9861609
15d22e579bd386
hex676c10c706f9

113713835607801 has 24 divisors (see below), whose sum is σ = 192968933154816. Its totient is φ = 63616131807840.

The previous prime is 113713835607707. The next prime is 113713835607839. The reversal of 113713835607801 is 108706538317311.

113713835607801 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 1 + 3 + 8 + 3 + 560 + 78 + 0 + 1 = 666.

It is not a de Polignac number, because 113713835607801 - 29 = 113713835607289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (113713835617801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 44177868025 + ... + 44177870598.

It is an arithmetic number, because the mean of its divisors is an integer number (8040372214784).

Almost surely, 2113713835607801 is an apocalyptic number.

113713835607801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

113713835607801 is a deficient number, since it is larger than the sum of its proper divisors (79255097547015).

113713835607801 is a wasteful number, since it uses less digits than its factorization.

113713835607801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88355738653 (or 88355738650 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 113713835607801 in words is "one hundred thirteen trillion, seven hundred thirteen billion, eight hundred thirty-five million, six hundred seven thousand, eight hundred one".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 88355738623 265067215869 795201647607 971913124853 1148624602099 2915739374559 3445873806297 8747218123677 10337621418891 12634870623089 37904611869267 113713835607801