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12220341414431 = 1132112512041967
BaseRepresentation
bin1011000111010100010100…
…0110111110101000011111
31121021020211121022201002112
42301311011012332220133
53100204224400230211
641553540343144235
72400614311101533
oct261650506765037
947236747281075
1012220341414431
113991688165807
12145447374507b
136a84b1054a57
14303679459bc3
15162d2c0a088b
hexb1d451bea1f

12220341414431 has 16 divisors (see below), whose sum is σ = 12436271221248. Its totient is φ = 12006760080000.

The previous prime is 12220341414397. The next prime is 12220341414473. The reversal of 12220341414431 is 13441414302221.

It is a cyclic number.

It is not a de Polignac number, because 12220341414431 - 210 = 12220341413407 is a prime.

It is a super-2 number, since 2×122203414144312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220341414331) 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, 4963610 + ... + 7005576.

It is an arithmetic number, because the mean of its divisors is an integer number (777266951328).

Almost surely, 212220341414431 is an apocalyptic number.

12220341414431 is a deficient number, since it is larger than the sum of its proper divisors (215929806817).

12220341414431 is a wasteful number, since it uses less digits than its factorization.

12220341414431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042542.

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 12220341414431 its reverse (13441414302221), we get a palindrome (25661755716652).

The spelling of 12220341414431 in words is "twelve trillion, two hundred twenty billion, three hundred forty-one million, four hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 113 211 251 23843 28363 52961 2041967 5984593 230742271 430855037 512533717 48686619181 57916310021 108144614287 12220341414431