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3112424242113 = 341271909110271
BaseRepresentation
bin101101010010101010111…
…100001111101111000001
3102000112201012022111211010
4231102222330033233001
5401443221101221423
610341454501111133
7440602526355564
oct55225274175701
912015635274733
103112424242113
11a9aa7638686a
124232606b84a9
131976673529a4
14aa8dc04a4db
1555e645a0693
hex2d4aaf0fbc1

3112424242113 has 32 divisors (see below), whose sum is σ = 4267687624704. Its totient is φ = 2016452880000.

The previous prime is 3112424242111. The next prime is 3112424242121.

It is a happy number.

3112424242113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3112424242113 - 21 = 3112424242111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3112424242111) 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 31 ways as a sum of consecutive naturals, for example, 303025168 + ... + 303035438.

It is an arithmetic number, because the mean of its divisors is an integer number (133365238272).

Almost surely, 23112424242113 is an apocalyptic number.

It is an amenable number.

3112424242113 is a deficient number, since it is larger than the sum of its proper divisors (1155263382591).

3112424242113 is a wasteful number, since it uses less digits than its factorization.

3112424242113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19677.

The product of its digits is 9216, while the sum is 30.

The spelling of 3112424242113 in words is "three trillion, one hundred twelve billion, four hundred twenty-four million, two hundred forty-two thousand, one hundred thirteen".

Divisors: 1 3 41 123 271 813 9091 10271 11111 27273 30813 33333 372731 421111 1118193 1263333 2463661 2783441 7390983 8350323 93373661 101010101 114121081 280120983 303030303 342363243 3828320101 11484960303 25304262131 75912786393 1037474747371 3112424242113