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3100440013 = 117313728183
BaseRepresentation
bin1011100011001100…
…1111010111001101
322000002000200010121
42320303033113031
522322203040023
61231353104541
7136555206466
oct27063172715
98002020117
103100440013
111351132520
127263b8151
133a54503b8
14215aadd6d
151322d3d5d
hexb8ccf5cd

3100440013 has 16 divisors (see below), whose sum is σ = 3453780096. Its totient is φ = 2759581440.

The previous prime is 3100439989. The next prime is 3100440037.

3100440013 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (3100439989) and next prime (3100440037).

It is not a de Polignac number, because 3100440013 - 25 = 3100439981 is a prime.

It is a super-2 number, since 2×31004400132 = 19225456548422880338, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3100440053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95920 + ... + 124102.

It is an arithmetic number, because the mean of its divisors is an integer number (215861256).

Almost surely, 23100440013 is an apocalyptic number.

It is an amenable number.

3100440013 is a deficient number, since it is larger than the sum of its proper divisors (353340083).

3100440013 is a wasteful number, since it uses less digits than its factorization.

3100440013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28404.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3100440013 is about 55681.5949214819. The cubic root of 3100440013 is about 1458.1687199650.

It can be divided in two parts, 31004 and 40013, that added together give a palindrome (71017).

The spelling of 3100440013 in words is "three billion, one hundred million, four hundred forty thousand, thirteen".

Divisors: 1 11 73 137 803 1507 10001 28183 110011 310013 2057359 3861071 22630949 42471781 281858183 3100440013