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13122310221 = 3223371713319
BaseRepresentation
bin11000011100010011…
…01001000001001101
31020212111221102112200
430032021221001031
5203333302411341
610010040352113
7643116540126
oct141611510115
936774842480
1013122310221
115624224989
122662775639
131311827307
148c6ac704d
1551c061db6
hex30e26904d

13122310221 has 24 divisors (see below), whose sum is σ = 20313121920. Its totient is φ = 8141687136.

The previous prime is 13122310219. The next prime is 13122310231. The reversal of 13122310221 is 12201322131.

13122310221 is a `hidden beast` number, since 13 + 122 + 310 + 221 = 666.

It is not a de Polignac number, because 13122310221 - 21 = 13122310219 is a prime.

It is a super-2 number, since 2×131223102212 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13122310194 and 13122310203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122310211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 849001 + ... + 864318.

It is an arithmetic number, because the mean of its divisors is an integer number (846380080).

Almost surely, 213122310221 is an apocalyptic number.

It is an amenable number.

13122310221 is a deficient number, since it is larger than the sum of its proper divisors (7190811699).

13122310221 is a wasteful number, since it uses less digits than its factorization.

13122310221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713385 (or 1713382 counting only the distinct ones).

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

Adding to 13122310221 its reverse (12201322131), we get a palindrome (25323632352).

The spelling of 13122310221 in words is "thirteen billion, one hundred twenty-two million, three hundred ten thousand, two hundred twenty-one".

Divisors: 1 3 9 23 37 69 111 207 333 851 2553 7659 1713319 5139957 15419871 39406337 63392803 118219011 190178409 354657033 570535227 1458034469 4374103407 13122310221