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132214500314325 = 335211136122454813
BaseRepresentation
bin11110000011111110010110…
…010100110100110011010101
3122100010120201212001010001000
4132003332112110310303111
5114312200244040024300
61145110300345053513
736564116366615442
oct3603762624646325
9570116655033030
10132214500314325
1139144944669a60
12129b4080787299
1358a0a0a2ac770
1424913048409c9
151044308a09c00
hex783f96534cd5

132214500314325 has 192 divisors, whose sum is σ = 290022784853760. Its totient is φ = 58202872704000.

The previous prime is 132214500314321. The next prime is 132214500314329. The reversal of 132214500314325 is 523413005412231.

132214500314325 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 1 + 4 + 500 + 3 + 143 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (132214500314321) and next prime (132214500314329).

It is not a de Polignac number, because 132214500314325 - 22 = 132214500314321 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 132214500314325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132214500314321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5339382 + ... + 17115431.

It is an arithmetic number, because the mean of its divisors is an integer number (1510535337780).

Almost surely, 2132214500314325 is an apocalyptic number.

132214500314325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132214500314325 is an abundant number, since it is smaller than the sum of its proper divisors (157808284539435).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132214500314325 is a wasteful number, since it uses less digits than its factorization.

132214500314325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22454917 (or 22454906 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 132214500314325 its reverse (523413005412231), we get a palindrome (655627505726556).

The spelling of 132214500314325 in words is "one hundred thirty-two trillion, two hundred fourteen billion, five hundred million, three hundred fourteen thousand, three hundred twenty-five".