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12220022100031 = 234197853161471
BaseRepresentation
bin1011000111010011001000…
…0100111001000000111111
31121021020000100110212002021
42301310302010321000333
53100203101124200111
641553444535141011
72400603353010004
oct261646204710077
947236010425067
1012220022100031
11399153399a109
1214543a4814767
136a845cb53915
14303648c998ab
15162d0e028d71
hexb1d3213903f

12220022100031 has 16 divisors (see below), whose sum is σ = 12783466967040. Its totient is φ = 11659262998240.

The previous prime is 12220022100017. The next prime is 12220022100059. The reversal of 12220022100031 is 13000122002221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12220022100031 - 215 = 12220022067263 is a prime.

It is a super-2 number, since 2×122200221000312 (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 = 12220022099978 and 12220022100014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220022100061) 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, 75598626 + ... + 75760096.

It is an arithmetic number, because the mean of its divisors is an integer number (798966685440).

Almost surely, 212220022100031 is an apocalyptic number.

12220022100031 is a deficient number, since it is larger than the sum of its proper divisors (563444867009).

12220022100031 is a wasteful number, since it uses less digits than its factorization.

12220022100031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169766.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12220022100031 its reverse (13000122002221), we get a palindrome (25220144102252).

The spelling of 12220022100031 in words is "twelve trillion, two hundred twenty billion, twenty-two million, one hundred thousand, thirty-one".

Divisors: 1 23 419 7853 9637 161471 180619 3290407 3713833 67656349 75679361 1268031763 1556096027 29164730549 531305308697 12220022100031