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132213130212123 = 334896782600449
BaseRepresentation
bin11110000011111101000100…
…101010010011001100011011
3122100010110012100221201011000
4132003331010222103030123
5114312134442313241443
61145105512403040043
736564040422134412
oct3603750452231433
9570113170851130
10132213130212123
1139144301240994
12129b3959970023
1358a084c49b5bc
1424912148b2479
1510442785bd8d3
hex783f44a9331b

132213130212123 has 8 divisors (see below), whose sum is σ = 195871304018000. Its totient is φ = 88142086808064.

The previous prime is 132213130212061. The next prime is 132213130212133. The reversal of 132213130212123 is 321212031312231.

132213130212123 is a `hidden beast` number, since 1 + 3 + 2 + 213 + 1 + 302 + 121 + 23 = 666.

It is not a de Polignac number, because 132213130212123 - 28 = 132213130211867 is a prime.

It is a super-3 number, since 3×1322131302121233 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 4896782600449 = 132213130212123 / (1 + 3 + 2 + 2 + 1 + 3 + 1 + 3 + 0 + 2 + 1 + 2 + 1 + 2 + 3).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132213130212133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2448391300198 + ... + 2448391300251.

It is an arithmetic number, because the mean of its divisors is an integer number (24483913002250).

Almost surely, 2132213130212123 is an apocalyptic number.

132213130212123 is a deficient number, since it is larger than the sum of its proper divisors (63658173805877).

132213130212123 is an equidigital number, since it uses as much as digits as its factorization.

132213130212123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4896782600458 (or 4896782600452 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 132213130212123 its reverse (321212031312231), we get a palindrome (453425161524354).

The spelling of 132213130212123 in words is "one hundred thirty-two trillion, two hundred thirteen billion, one hundred thirty million, two hundred twelve thousand, one hundred twenty-three".

Divisors: 1 3 9 27 4896782600449 14690347801347 44071043404041 132213130212123