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10221322131 = 321766806027
BaseRepresentation
bin10011000010011110…
…01111111110010011
3222101100012222000100
421201033033332103
5131413124302011
64410130223443
7511202542656
oct114117177623
928340188010
1010221322131
114375740669
121b93124b83
13c6b7cb907
146cd6d589d
153ec529d56
hex2613cff93

10221322131 has 12 divisors (see below), whose sum is σ = 15632610552. Its totient is φ = 6413378496.

The previous prime is 10221322127. The next prime is 10221322157. The reversal of 10221322131 is 13122312201.

It is not a de Polignac number, because 10221322131 - 22 = 10221322127 is a prime.

It is a super-2 number, since 2×102213221312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10221322231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33402861 + ... + 33403166.

It is an arithmetic number, because the mean of its divisors is an integer number (1302717546).

Almost surely, 210221322131 is an apocalyptic number.

10221322131 is a deficient number, since it is larger than the sum of its proper divisors (5411288421).

10221322131 is a wasteful number, since it uses less digits than its factorization.

10221322131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66806050 (or 66806047 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10221322131 its reverse (13122312201), we get a palindrome (23343634332).

The spelling of 10221322131 in words is "ten billion, two hundred twenty-one million, three hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 17 51 153 66806027 200418081 601254243 1135702459 3407107377 10221322131