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10121313031 = 269283132953
BaseRepresentation
bin10010110110100011…
…01111101100000111
3222010101000222022121
421123101233230013
5131212024004111
64352154510411
7505546512154
oct113321575407
928111028277
1010121313031
114324243315
121b65735407
13c53b83c2b
146c030122b
153e3872871
hex25b46fb07

10121313031 has 8 divisors (see below), whose sum is σ = 10194912720. Its totient is φ = 10047980352.

The previous prime is 10121313029. The next prime is 10121313067. The reversal of 10121313031 is 13031312101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10121313031 - 21 = 10121313029 is a prime.

It is a super-2 number, since 2×101213130312 (a number of 21 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 = 10121312996 and 10121313014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121313011) 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 7 ways as a sum of consecutive naturals, for example, 9651 + ... + 142603.

It is an arithmetic number, because the mean of its divisors is an integer number (1274364090).

Almost surely, 210121313031 is an apocalyptic number.

10121313031 is a deficient number, since it is larger than the sum of its proper divisors (73599689).

10121313031 is a wasteful number, since it uses less digits than its factorization.

10121313031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133505.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10121313031 its reverse (13031312101), we get a palindrome (23152625132).

It can be divided in two parts, 101213 and 13031, that added together give a square (114244 = 3382).

The spelling of 10121313031 in words is "ten billion, one hundred twenty-one million, three hundred thirteen thousand, thirty-one".

Divisors: 1 269 283 76127 132953 35764357 37625699 10121313031