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10222322131 = 72582135839
BaseRepresentation
bin10011000010100110…
…00100000111010011
3222101102002202202101
421201103010013103
5131413403302011
64410203501231
7511214206300
oct114123040723
928342082671
1010222322131
114376263a0a
121b93527817
13c6ba8bb28
146cd8b60a7
153ec6762c1
hex2614c41d3

10222322131 has 12 divisors (see below), whose sum is σ = 11893647360. Its totient is φ = 8760240720.

The previous prime is 10222322129. The next prime is 10222322153. The reversal of 10222322131 is 13122322201.

It is not a de Polignac number, because 10222322131 - 21 = 10222322129 is a prime.

It is a super-2 number, since 2×102223221312 (a number of 21 digits) contains 22 as substring.

It is the 101106-th Hogben number.

It is a junction number, because it is equal to n+sod(n) for n = 10222322099 and 10222322108.

It is not an unprimeable number, because it can be changed into a prime (10222302131) by changing a digit.

It is a nontrivial repunit in base 101105.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267310 + ... + 303148.

It is an arithmetic number, because the mean of its divisors is an integer number (991137280).

Almost surely, 210222322131 is an apocalyptic number.

10222322131 is a deficient number, since it is larger than the sum of its proper divisors (1671325229).

10222322131 is an equidigital number, since it uses as much as digits as its factorization.

10222322131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41674 (or 41667 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10222322131 its reverse (13122322201), we get a palindrome (23344644332).

The spelling of 10222322131 in words is "ten billion, two hundred twenty-two million, three hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 7 49 5821 35839 40747 250873 285229 1756111 208618819 1460331733 10222322131