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3100230320013 = 323726934609669
BaseRepresentation
bin101101000111010100001…
…000000111111110001101
3101222101020101022002100200
4231013110020013332031
5401243232430220023
610332120503044113
7436661411630361
oct55072410077615
911871211262320
103100230320013
11a958892136a2
12420a18a40639
13196472c81478
14aa0a278d2a1
155599dcc6743
hex2d1d4207f8d

3100230320013 has 24 divisors (see below), whose sum is σ = 4616237784600. Its totient is φ = 2003484461184.

The previous prime is 3100230319999. The next prime is 3100230320041.

3100230320013 is a `hidden beast` number, since 3 + 100 + 230 + 320 + 0 + 13 = 666.

3100230320013 is nontrivially palindromic in base 10.

3100230320013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 483076431369 + 2617153888644 = 695037^2 + 1617762^2 .

It is not a de Polignac number, because 3100230320013 - 210 = 3100230318989 is a prime.

It is a super-2 number, since 2×31002303200132 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3100230320063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17215258 + ... + 17394411.

It is an arithmetic number, because the mean of its divisors is an integer number (192343241025).

Almost surely, 23100230320013 is an apocalyptic number.

It is an amenable number.

3100230320013 is a deficient number, since it is larger than the sum of its proper divisors (1516007464587).

3100230320013 is a wasteful number, since it uses less digits than its factorization.

3100230320013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34609981 (or 34609978 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

It can be divided in two parts, 3100230 and 320013, that added together give a palindrome (3420243).

The spelling of 3100230320013 in words is "three trillion, one hundred billion, two hundred thirty million, three hundred twenty thousand, thirteen".

Divisors: 1 3 9 37 111 269 333 807 2421 9953 29859 89577 34609669 103829007 311487021 1280557753 3841673259 9310000961 11525019777 27930002883 83790008649 344470035557 1033410106671 3100230320013