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10312421301 = 3271312591479
BaseRepresentation
bin10011001101010101…
…10000111110110101
3222121200122021120200
421212222300332311
5132104434440201
64423142551113
7513360064140
oct114652607665
928550567520
1010312421301
114412102836
121bb9738499
13c84646c50
146db84b057
15405522386
hex266ab0fb5

10312421301 has 24 divisors (see below), whose sum is σ = 18333194880. Its totient is φ = 5439518496.

The previous prime is 10312421297. The next prime is 10312421303.

10312421301 is a `hidden beast` number, since 10 + 312 + 42 + 1 + 301 = 666.

10312421301 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10312421301 - 22 = 10312421297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312421303) 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 23 ways as a sum of consecutive naturals, for example, 6294921 + ... + 6296558.

It is an arithmetic number, because the mean of its divisors is an integer number (763883120).

Almost surely, 210312421301 is an apocalyptic number.

It is an amenable number.

10312421301 is a deficient number, since it is larger than the sum of its proper divisors (8020773579).

10312421301 is a wasteful number, since it uses less digits than its factorization.

10312421301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12591505 (or 12591502 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The spelling of 10312421301 in words is "ten billion, three hundred twelve million, four hundred twenty-one thousand, three hundred one".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 12591479 37774437 88140353 113323311 163689227 264421059 491067681 793263177 1145824589 1473203043 3437473767 10312421301