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3102112013 = 711133139901
BaseRepresentation
bin1011100011100110…
…0111100100001101
322000012011121200112
42320321213210031
522323120041023
61231453005405
7136605342230
oct27071474415
98005147615
103102112013
111352074740
12726a83865
133a58b7450
14215dc7417
15132514478
hexb8e6790d

3102112013 has 32 divisors (see below), whose sum is σ = 4178802432. Its totient is φ = 2223936000.

The previous prime is 3102112003. The next prime is 3102112021.

3102112013 = 1022 + 1032 + ... + 21032.

3102112013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3102112013 - 24 = 3102111997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3102112003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308363 + ... + 318263.

It is an arithmetic number, because the mean of its divisors is an integer number (130587576).

Almost surely, 23102112013 is an apocalyptic number.

It is an amenable number.

3102112013 is a deficient number, since it is larger than the sum of its proper divisors (1076690419).

3102112013 is a wasteful number, since it uses less digits than its factorization.

3102112013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10245.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 3102112013 is about 55696.6068356053. The cubic root of 3102112013 is about 1458.4307924404.

It can be divided in two parts, 31021 and 12013, that added together give a palindrome (43034).

The spelling of 3102112013 in words is "three billion, one hundred two million, one hundred twelve thousand, thirteen".

Divisors: 1 7 11 13 77 91 143 313 1001 2191 3443 4069 9901 24101 28483 44759 69307 108911 128713 313313 762377 900991 1415843 3099013 9910901 21693091 34089143 40287169 238624001 282010183 443158859 3102112013