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10321132013 = 42124515753
BaseRepresentation
bin10011001110010111…
…11111100111101101
3222122022000211102122
421213023333213231
5132114202211023
64424053402325
7513524113613
oct114713774755
928568024378
1010321132013
114417012275
1220006393a5
13c863a6a0a
146dca776b3
154061932c8
hex2672ff9ed

10321132013 has 4 divisors (see below), whose sum is σ = 10345648188. Its totient is φ = 10296615840.

The previous prime is 10321131983. The next prime is 10321132027. The reversal of 10321132013 is 31023112301.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 31023112301 = 77593998339.

It can be written as a sum of positive squares in 2 ways, for example, as 779358889 + 9541773124 = 27917^2 + 97682^2 .

It is a cyclic number.

It is not a de Polignac number, because 10321132013 - 212 = 10321127917 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10321131982 and 10321132000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10321134013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12257456 + ... + 12258297.

It is an arithmetic number, because the mean of its divisors is an integer number (2586412047).

Almost surely, 210321132013 is an apocalyptic number.

It is an amenable number.

10321132013 is a deficient number, since it is larger than the sum of its proper divisors (24516175).

10321132013 is an equidigital number, since it uses as much as digits as its factorization.

10321132013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24516174.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10321132013 its reverse (31023112301), we get a palindrome (41344244314).

The spelling of 10321132013 in words is "ten billion, three hundred twenty-one million, one hundred thirty-two thousand, thirteen".

Divisors: 1 421 24515753 10321132013