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10000331113 = 109254935993
BaseRepresentation
bin10010101000001000…
…01111000101101001
3221210221101110022211
421110010033011221
5130440041043423
64332153445121
7502550261203
oct112404170551
927727343284
1010000331113
114271a20863
121b311107a1
13c34aa50b6
146ac20b773
153d7e2610d
hex25410f169

10000331113 has 8 divisors (see below), whose sum is σ = 10096317000. Its totient is φ = 9904422528.

The previous prime is 10000331093. The next prime is 10000331153. The reversal of 10000331113 is 31113300001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6811696089 + 3188635024 = 82533^2 + 56468^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10000331113 - 221 = 9998233961 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10000331093 and 10000331102.

It is not an unprimeable number, because it can be changed into a prime (10000331153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259845 + ... + 295837.

It is an arithmetic number, because the mean of its divisors is an integer number (1262039625).

Almost surely, 210000331113 is an apocalyptic number.

It is an amenable number.

10000331113 is a deficient number, since it is larger than the sum of its proper divisors (95985887).

10000331113 is a wasteful number, since it uses less digits than its factorization.

10000331113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38651.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 10000331113 its reverse (31113300001), we get a palindrome (41113631114).

The spelling of 10000331113 in words is "ten billion, three hundred thirty-one thousand, one hundred thirteen".

Divisors: 1 109 2549 35993 277841 3923237 91746157 10000331113