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10312013221 = 17977620869
BaseRepresentation
bin10011001101010010…
…01101010110100101
3222121122212112210121
421212221031112211
5132104333410341
64423130121541
7513353444326
oct114651152645
928548775717
1010312013221
114411954184
121bb95802b1
13c84533293
146db78244d
154054914d1
hex266a4d5a5

10312013221 has 8 divisors (see below), whose sum is σ = 10929795480. Its totient is φ = 9695474688.

The previous prime is 10312013207. The next prime is 10312013251. The reversal of 10312013221 is 12231021301.

10312013221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3365624196 + 6946389025 = 58014^2 + 83345^2 .

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 10312013221 - 25 = 10312013189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10312013195 and 10312013204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312013251) 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 7 ways as a sum of consecutive naturals, for example, 293826 + ... + 327043.

It is an arithmetic number, because the mean of its divisors is an integer number (1366224435).

Almost surely, 210312013221 is an apocalyptic number.

It is an amenable number.

10312013221 is a deficient number, since it is larger than the sum of its proper divisors (617782259).

10312013221 is an equidigital number, since it uses as much as digits as its factorization.

10312013221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621863.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10312013221 its reverse (12231021301), we get a palindrome (22543034522).

The spelling of 10312013221 in words is "ten billion, three hundred twelve million, thirteen thousand, two hundred twenty-one".

Divisors: 1 17 977 16609 620869 10554773 606589013 10312013221