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10421333131 = 1153113158189
BaseRepresentation
bin10011011010010100…
…01110110010001011
3222220021120120112011
421231022032302023
5132320330130011
64442033200351
7516151604266
oct115512166213
928807516464
1010421333131
114468630910
12202a1000b7
13ca108ac11
1470c0bbcdd
1540ed87621
hex26d28ec8b

10421333131 has 16 divisors (see below), whose sum is σ = 11685811680. Its totient is φ = 9212869120.

The previous prime is 10421333129. The next prime is 10421333179. The reversal of 10421333131 is 13133312401.

10421333131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10421333131 - 21 = 10421333129 is a prime.

It is a super-2 number, since 2×104213331312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10421333191) 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, 13216 + ... + 144973.

It is an arithmetic number, because the mean of its divisors is an integer number (730363230).

Almost surely, 210421333131 is an apocalyptic number.

10421333131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10421333131 is a deficient number, since it is larger than the sum of its proper divisors (1264478549).

10421333131 is a wasteful number, since it uses less digits than its factorization.

10421333131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158366.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 10421333131 its reverse (13133312401), we get a palindrome (23554645532).

The spelling of 10421333131 in words is "ten billion, four hundred twenty-one million, three hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 11 53 113 583 1243 5989 65879 158189 1740079 8384017 17875357 92224187 196628927 947393921 10421333131