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10222320131 = 194761918493
BaseRepresentation
bin10011000010100110…
…00011101000000011
3222101102002200000022
421201103003220003
5131413403221011
64410203444055
7511214200412
oct114123035003
928342080008
1010222320131
114376262461
121b9352662b
13c6ba8ac4a
146cd8b5479
153ec6758db
hex2614c3a03

10222320131 has 16 divisors (see below), whose sum is σ = 11007628800. Its totient is φ = 9462430368.

The previous prime is 10222320109. The next prime is 10222320139. The reversal of 10222320131 is 13102322201.

It is a cyclic number.

It is not a de Polignac number, because 10222320131 - 26 = 10222320067 is a prime.

It is a super-2 number, since 2×102223201312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10222320139) 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 15 ways as a sum of consecutive naturals, for example, 543521 + ... + 562013.

It is an arithmetic number, because the mean of its divisors is an integer number (687976800).

Almost surely, 210222320131 is an apocalyptic number.

10222320131 is a deficient number, since it is larger than the sum of its proper divisors (785308669).

10222320131 is a wasteful number, since it uses less digits than its factorization.

10222320131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19178.

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

Adding to 10222320131 its reverse (13102322201), we get a palindrome (23324642332).

The spelling of 10222320131 in words is "ten billion, two hundred twenty-two million, three hundred twenty thousand, one hundred thirty-one".

Divisors: 1 19 47 619 893 11761 18493 29093 351367 552767 869171 11447167 16514249 217496173 538016849 10222320131