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102221220131031 = 3157420439516199
BaseRepresentation
bin10111001111100000111011…
…100000111011000011010111
3111101221020211120212102010010
4113033200323200323003113
5101344243024323143111
61001223440310531303
730350145061552461
oct2717407340730327
9441836746772103
10102221220131031
112a630859953731
12b56b1a7966b33
13450655c0c6521
141b35767b19131
15bc401db52aa6
hex5cf83b83b0d7

102221220131031 has 16 divisors (see below), whose sum is σ = 137163672896000. Its totient is φ = 67713127473888.

The previous prime is 102221220130973. The next prime is 102221220131047. The reversal of 102221220131031 is 130131022122201.

It is not a de Polignac number, because 102221220131031 - 226 = 102221153022167 is a prime.

It is a super-2 number, since 2×1022212201310312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102221220130989 and 102221220131007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221220131431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197768670 + ... + 198284868.

It is an arithmetic number, because the mean of its divisors is an integer number (8572729556000).

Almost surely, 2102221220131031 is an apocalyptic number.

102221220131031 is a deficient number, since it is larger than the sum of its proper divisors (34942452764969).

102221220131031 is a wasteful number, since it uses less digits than its factorization.

102221220131031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936798.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 102221220131031 its reverse (130131022122201), we get a palindrome (232352242253232).

The spelling of 102221220131031 in words is "one hundred two trillion, two hundred twenty-one billion, two hundred twenty million, one hundred thirty-one thousand, thirty-one".

Divisors: 1 3 157 471 420439 516199 1261317 1548597 66008923 81043243 198026769 243129729 217030191361 651090574083 34073740043677 102221220131031