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10222312132031 = 431409670325171
BaseRepresentation
bin1001010011000001000101…
…0010001000110110111111
31100012020120111201200110012
42110300101102020312333
52314440243401211111
633424022041333435
72103352265316026
oct224602122106677
940166514650405
1010222312132031
11329129278125a
12119119b79727b
13591c62b8458c
14274a966018bd
1512ad8c0ee48b
hex94c11488dbf

10222312132031 has 16 divisors (see below), whose sum is σ = 10469441579520. Its totient is φ = 9975612810240.

The previous prime is 10222312131971. The next prime is 10222312132051. The reversal of 10222312132031 is 13023121322201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10222312132031 is a prime.

It is a super-2 number, since 2×102223121320312 (a number of 27 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 = 10222312131988 and 10222312132006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222312132051) 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, 406102076 + ... + 406127246.

It is an arithmetic number, because the mean of its divisors is an integer number (654340098720).

Almost surely, 210222312132031 is an apocalyptic number.

10222312132031 is a deficient number, since it is larger than the sum of its proper divisors (247129447489).

10222312132031 is a wasteful number, since it uses less digits than its factorization.

10222312132031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33326.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 10222312132031 its reverse (13023121322201), we get a palindrome (23245433454232).

The spelling of 10222312132031 in words is "ten trillion, two hundred twenty-two billion, three hundred twelve million, one hundred thirty-two thousand, thirty-one".

Divisors: 1 43 1409 6703 25171 60587 288229 1082353 9444527 35465939 168721213 406114661 1525035377 7255012159 237728189117 10222312132031