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132220315645613 = 1323347299230593
BaseRepresentation
bin11110000100000011110000…
…111100100011011010101101
3122100011010202010121112212022
4132010003300330203122231
5114312244201301124423
61145113101403515525
736564413452252166
oct3604036074433255
9570133663545768
10132220315645613
1139147359229478
12129b5224228ba5
1358a142602b5b0
1424916d6cdc76d
151044549315dc8
hex7840f0f236ad

132220315645613 has 16 divisors (see below), whose sum is σ = 143032484715120. Its totient is φ = 121499993309184.

The previous prime is 132220315645601. The next prime is 132220315645619. The reversal of 132220315645613 is 316546513022231.

It can be written as a sum of positive squares in 8 ways, for example, as 98328206259364 + 33892109386249 = 9916058^2 + 5821693^2 .

It is a cyclic number.

It is not a de Polignac number, because 132220315645613 - 234 = 132203135776429 is a prime.

It is a super-2 number, since 2×1322203156456132 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132220315645619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9708845 + ... + 18939437.

It is an arithmetic number, because the mean of its divisors is an integer number (8939530294695).

Almost surely, 2132220315645613 is an apocalyptic number.

132220315645613 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132220315645613 is a deficient number, since it is larger than the sum of its proper divisors (10812169069507).

132220315645613 is a wasteful number, since it uses less digits than its factorization.

132220315645613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9235568.

The product of its (nonzero) digits is 777600, while the sum is 44.

Adding to 132220315645613 its reverse (316546513022231), we get a palindrome (448766828667844).

The spelling of 132220315645613 in words is "one hundred thirty-two trillion, two hundred twenty billion, three hundred fifteen million, six hundred forty-five thousand, six hundred thirteen".

Divisors: 1 13 233 3029 4729 61477 1101857 9230593 14324141 119997709 2150728169 27959466197 43651474297 567469165861 10170793511201 132220315645613