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132313300101 = 32314111566859
BaseRepresentation
bin111101100111001111…
…1001011110010000101
3110122112010211001210100
41323032133023302011
54131434201100401
6140441153114313
712362563331343
oct1731637136205
9418463731710
10132313300101
11511284547a4
1221787558999
13c628225668
1465927da993
153695eb0b86
hex1ece7cbc85

132313300101 has 24 divisors (see below), whose sum is σ = 202096177920. Its totient is φ = 83281377600.

The previous prime is 132313300099. The next prime is 132313300109. The reversal of 132313300101 is 101003313231.

It is a happy number.

132313300101 is a `hidden beast` number, since 1 + 3 + 231 + 330 + 0 + 101 = 666.

It is not a de Polignac number, because 132313300101 - 21 = 132313300099 is a prime.

It is a super-2 number, since 2×1323133001012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132313300109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5771991 + ... + 5794868.

It is an arithmetic number, because the mean of its divisors is an integer number (8420674080).

Almost surely, 2132313300101 is an apocalyptic number.

It is an amenable number.

132313300101 is a deficient number, since it is larger than the sum of its proper divisors (69782877819).

132313300101 is a wasteful number, since it uses less digits than its factorization.

132313300101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11566937 (or 11566934 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 132313300101 its reverse (101003313231), we get a palindrome (233316613332).

The spelling of 132313300101 in words is "one hundred thirty-two billion, three hundred thirteen million, three hundred thousand, one hundred one".

Divisors: 1 3 9 31 41 93 123 279 369 1271 3813 11439 11566859 34700577 104101731 358572629 474241219 1075717887 1422723657 3227153661 4268170971 14701477789 44104433367 132313300101