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13202222220231 = 3113759183264929
BaseRepresentation
bin1100000000011110000111…
…0001000000001111000111
31201202010020120021200211220
43000013201301000033013
53212301122342021411
644025003412331423
72531554242201522
oct300074161001707
951663216250756
1013202222220231
114230038297940
121592819613b73
13749c6c4b8ab5
14338dc32c9bb9
1517d647c66b06
hexc01e1c403c7

13202222220231 has 32 divisors (see below), whose sum is σ = 20056513939200. Its totient is φ = 7653143393280.

The previous prime is 13202222220203. The next prime is 13202222220259.

13202222220231 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (13202222220203) and next prime (13202222220259).

It is not a de Polignac number, because 13202222220231 - 214 = 13202222203847 is a prime.

It is a super-2 number, since 2×132022222202312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13202222220331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91560426 + ... + 91704503.

It is an arithmetic number, because the mean of its divisors is an integer number (626766060600).

Almost surely, 213202222220231 is an apocalyptic number.

13202222220231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13202222220231 is a deficient number, since it is larger than the sum of its proper divisors (6854291718969).

13202222220231 is a wasteful number, since it uses less digits than its factorization.

13202222220231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183265039.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 1320222 and 2220231, that added together give a palindrome (3540453).

The spelling of 13202222220231 in words is "thirteen trillion, two hundred two billion, two hundred twenty-two million, two hundred twenty thousand, two hundred thirty-one".

Divisors: 1 3 11 33 37 59 111 177 407 649 1221 1947 2183 6549 24013 72039 183264929 549794787 2015914219 6047742657 6780802373 10812630811 20342407119 32437892433 74588826103 118938938921 223766478309 356816816763 400067340007 1200202020021 4400740740077 13202222220231