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10121310303 = 313909128547
BaseRepresentation
bin10010110110100011…
…01111000001011111
3222010101000211120120
421123101233001133
5131212023412203
64352154450023
7505546501206
oct113321570137
928111024516
1010121310303
114324241265
121b65733913
13c53b82910
146c030023d
153e3871b53
hex25b46f05f

10121310303 has 16 divisors (see below), whose sum is σ = 14535271296. Its totient is φ = 6227595360.

The previous prime is 10121310263. The next prime is 10121310343. The reversal of 10121310303 is 30301312101.

It is an interprime number because it is at equal distance from previous prime (10121310263) and next prime (10121310343).

It is not a de Polignac number, because 10121310303 - 26 = 10121310239 is a prime.

It is a super-2 number, since 2×101213103032 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121310343) 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, 340276 + ... + 368822.

It is an arithmetic number, because the mean of its divisors is an integer number (908454456).

Almost surely, 210121310303 is an apocalyptic number.

10121310303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10121310303 is a deficient number, since it is larger than the sum of its proper divisors (4413960993).

10121310303 is a wasteful number, since it uses less digits than its factorization.

10121310303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37654.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10121310303 its reverse (30301312101), we get a palindrome (40422622404).

The spelling of 10121310303 in words is "ten billion, one hundred twenty-one million, three hundred ten thousand, three hundred three".

Divisors: 1 3 13 39 9091 27273 28547 85641 118183 354549 371111 1113333 259520777 778562331 3373770101 10121310303