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132100331122332 = 22323923935369269
BaseRepresentation
bin11110000010010100000001…
…010011111010111010011100
3122022201200001012120020102200
4132002110001103322322130
5114303312434231403312
61144542015423051500
736552635231526336
oct3602240123727234
9568650035506380
10132100331122332
1139100488085231
1212995b19740b90
135893014102861
142489993a64456
1510413758bb0dc
hex7825014fae9c

132100331122332 has 36 divisors (see below), whose sum is σ = 334005400408680. Its totient is φ = 44022219229152.

The previous prime is 132100331122307. The next prime is 132100331122349. The reversal of 132100331122332 is 233221133001231.

132100331122332 is a `hidden beast` number, since 1 + 3 + 2 + 10 + 0 + 3 + 311 + 2 + 2 + 332 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 132100331122296 and 132100331122305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 467543407 + ... + 467825862.

It is an arithmetic number, because the mean of its divisors is an integer number (9277927789130).

Almost surely, 2132100331122332 is an apocalyptic number.

132100331122332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132100331122332 is an abundant number, since it is smaller than the sum of its proper divisors (201905069286348).

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

132100331122332 is a wasteful number, since it uses less digits than its factorization.

132100331122332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935373202 (or 935373197 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 132100331122332 its reverse (233221133001231), we get a palindrome (365321464123563).

The spelling of 132100331122332 in words is "one hundred thirty-two trillion, one hundred billion, three hundred thirty-one million, one hundred twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 3923 7846 11769 15692 23538 35307 47076 70614 141228 935369269 1870738538 2806107807 3741477076 5612215614 8418323421 11224431228 16836646842 33673293684 3669453642287 7338907284574 11008360926861 14677814569148 22016721853722 33025082780583 44033443707444 66050165561166 132100331122332