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132120221413201 = 722696331049249
BaseRepresentation
bin11110000010100110100010…
…110111010110111101010001
3122022210120101101122201001021
4132002212202313112331101
5114304124203140210301
61144555105233035441
736554241152312500
oct3602464267267521
9568716341581037
10132120221413201
113910896469114a
121299994a9b5b81
135894b63b47638
14248a91d54c837
151041b3bbb58a1
hex7829a2dd6f51

132120221413201 has 6 divisors (see below), whose sum is σ = 153690869807250. Its totient is φ = 113245904068416.

The previous prime is 132120221413157. The next prime is 132120221413231. The reversal of 132120221413201 is 102314122021231.

It can be written as a sum of positive squares in only one way, i.e., 131263765561600 + 856455851601 = 11457040^2 + 925449^2 .

It is not a de Polignac number, because 132120221413201 - 217 = 132120221282129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132120221413231) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1348165524576 + ... + 1348165524673.

It is an arithmetic number, because the mean of its divisors is an integer number (25615144967875).

Almost surely, 2132120221413201 is an apocalyptic number.

It is an amenable number.

132120221413201 is a deficient number, since it is larger than the sum of its proper divisors (21570648394049).

132120221413201 is an equidigital number, since it uses as much as digits as its factorization.

132120221413201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2696331049263 (or 2696331049256 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 132120221413201 its reverse (102314122021231), we get a palindrome (234434343434432).

The spelling of 132120221413201 in words is "one hundred thirty-two trillion, one hundred twenty billion, two hundred twenty-one million, four hundred thirteen thousand, two hundred one".

Divisors: 1 7 49 2696331049249 18874317344743 132120221413201