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3132110112313 = 721379149417719
BaseRepresentation
bin101101100101000000010…
…011111000011000111001
3102002102112010202022222211
4231211000103320120321
5402304030142043223
610354512125415121
7442200415453300
oct55450023703071
912072463668884
103132110112313
11aa8358560486
1242703540a4a1
131994839232b0
14ab848721437
155671796ad0d
hex2d9404f8639

3132110112313 has 48 divisors (see below), whose sum is σ = 4000086720000. Its totient is φ = 2430356842368.

The previous prime is 3132110112283. The next prime is 3132110112371.

It can be divided in two parts, 3132110 and 112313, that added together give a palindrome (3244423).

3132110112313 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-3132110112313 is a prime.

It is a super-2 number, since 2×31321101123132 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3132110110313) 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 47 ways as a sum of consecutive naturals, for example, 7289268 + ... + 7706986.

It is an arithmetic number, because the mean of its divisors is an integer number (83335140000).

Almost surely, 23132110112313 is an apocalyptic number.

It is an amenable number.

3132110112313 is a deficient number, since it is larger than the sum of its proper divisors (867976607687).

3132110112313 is a wasteful number, since it uses less digits than its factorization.

3132110112313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417974 (or 417967 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The spelling of 3132110112313 in words is "three trillion, one hundred thirty-two billion, one hundred ten million, one hundred twelve thousand, three hundred thirteen".

Divisors: 1 7 13 49 79 91 149 553 637 1027 1043 1937 3871 7189 7301 11771 13559 50323 82397 94913 153023 417719 576779 1071161 2924033 5430347 7498127 20468231 32999801 38012429 62240131 230998607 266087003 428997413 435680917 809121703 1616990249 3002981891 3049766419 4916970349 5663851921 21020873237 34418792443 39646963447 63920614537 240931547101 447444301759 3132110112313