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10222210313 = 721712271561
BaseRepresentation
bin10011000010100101…
…01000110100001001
3222101101220002100222
421201102220310021
5131413341212223
64410201235425
7511213232300
oct114122506411
928341802328
1010222210313
1143761979a7
121b93492b75
13c6ba4cc73
146cd887437
153ec6530c8
hex2614a8d09

10222210313 has 12 divisors (see below), whose sum is σ = 12590622612. Its totient is φ = 8246488320.

The previous prime is 10222210247. The next prime is 10222210331. The reversal of 10222210313 is 31301222201.

It can be written as a sum of positive squares in 2 ways, for example, as 6588893584 + 3633316729 = 81172^2 + 60277^2 .

It is not a de Polignac number, because 10222210313 - 212 = 10222206217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10222210291 and 10222210300.

It is not an unprimeable number, because it can be changed into a prime (10222210343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6134948 + ... + 6136613.

It is an arithmetic number, because the mean of its divisors is an integer number (1049218551).

Almost surely, 210222210313 is an apocalyptic number.

It is an amenable number.

10222210313 is a deficient number, since it is larger than the sum of its proper divisors (2368412299).

10222210313 is a wasteful number, since it uses less digits than its factorization.

10222210313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12271592 (or 12271585 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10222210313 its reverse (31301222201), we get a palindrome (41523432514).

The spelling of 10222210313 in words is "ten billion, two hundred twenty-two million, two hundred ten thousand, three hundred thirteen".

Divisors: 1 7 17 49 119 833 12271561 85900927 208616537 601306489 1460315759 10222210313