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1310100210031 = 23894217151769
BaseRepresentation
bin10011000100001000000…
…011101100000101101111
311122020121010200021200011
4103010020003230011233
5132431041123210111
62441503550114051
7163436335022014
oct23041003540557
94566533607604
101310100210031
11465679461508
12191aa5aab927
139670779cb92
14475a2b5570b
152412a9ca021
hex131080ec16f

1310100210031 has 16 divisors (see below), whose sum is σ = 1382758257600. Its totient is φ = 1238757127168.

The previous prime is 1310100210017. The next prime is 1310100210047. The reversal of 1310100210031 is 1300120010131.

It is a cyclic number.

It is not a de Polignac number, because 1310100210031 - 231 = 1307952726383 is a prime.

It is a super-2 number, since 2×13101002100312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1310100209993 and 1310100210020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310100210061) 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 15 ways as a sum of consecutive naturals, for example, 8556315 + ... + 8708083.

It is an arithmetic number, because the mean of its divisors is an integer number (86422391100).

Almost surely, 21310100210031 is an apocalyptic number.

1310100210031 is a deficient number, since it is larger than the sum of its proper divisors (72658047569).

1310100210031 is a wasteful number, since it uses less digits than its factorization.

1310100210031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156098.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 1310100210031 its reverse (1300120010131), we get a palindrome (2610220220162).

The spelling of 1310100210031 in words is "one trillion, three hundred ten billion, one hundred million, two hundred ten thousand, thirty-one".

Divisors: 1 23 89 2047 4217 96991 151769 375313 3490687 8632199 13507441 310671143 640009873 14720227079 56960878697 1310100210031