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132756108251 = 13263379102451
BaseRepresentation
bin111101110100011100…
…0010111001111011011
3110200200000001001101012
41323220320113033123
54133341030431001
6140553132044135
712406551205244
oct1735070271733
9420600031335
10132756108251
11513353a9048
122188b90364b
13c698ba4a10
1465d5545ccb
1536beccd2bb
hex1ee8e173db

132756108251 has 16 divisors (see below), whose sum is σ = 143891784960. Its totient is φ = 121754858400.

The previous prime is 132756108241. The next prime is 132756108271. The reversal of 132756108251 is 152801657231.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 132756108251 - 26 = 132756108187 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132756108199 and 132756108208.

It is not an unprimeable number, because it can be changed into a prime (132756108241) 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, 1244576 + ... + 1347026.

It is an arithmetic number, because the mean of its divisors is an integer number (8993236560).

Almost surely, 2132756108251 is an apocalyptic number.

132756108251 is a deficient number, since it is larger than the sum of its proper divisors (11135676709).

132756108251 is a wasteful number, since it uses less digits than its factorization.

132756108251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103106.

The product of its (nonzero) digits is 100800, while the sum is 41.

The spelling of 132756108251 in words is "one hundred thirty-two billion, seven hundred fifty-six million, one hundred eight thousand, two hundred fifty-one".

Divisors: 1 13 263 379 3419 4927 99677 102451 1295801 1331863 26944613 38828929 350279969 504776077 10212008327 132756108251