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132312230100 = 223252147013589
BaseRepresentation
bin111101100111001101…
…1000110100011010100
3110122112001210201000200
41323032123012203110
54131433412330400
6140441114140500
712362551253661
oct1731633064324
9418461721020
10132312230100
11511278938a6
1221787121730
13c627c3c61b
1465925dca68
153695d4db00
hex1ece6c68d4

132312230100 has 54 divisors (see below), whose sum is σ = 414725337390. Its totient is φ = 35283261120.

The previous prime is 132312230053. The next prime is 132312230117. The reversal of 132312230100 is 1032213231.

132312230100 is a `hidden beast` number, since 1 + 323 + 12 + 230 + 100 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2461548996 + 129850681104 = 49614^2 + 360348^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 73505895 + ... + 73507694.

Almost surely, 2132312230100 is an apocalyptic number.

132312230100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132312230100 is an abundant number, since it is smaller than the sum of its proper divisors (282413107290).

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

132312230100 is a wasteful number, since it uses less digits than its factorization.

132312230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147013609 (or 147013599 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 132312230100 its reverse (1032213231), we get a palindrome (133344443331).

The spelling of 132312230100 in words is "one hundred thirty-two billion, three hundred twelve million, two hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 147013589 294027178 441040767 588054356 735067945 882081534 1323122301 1470135890 1764163068 2205203835 2646244602 2940271780 3675339725 4410407670 5292489204 6615611505 7350679450 8820815340 11026019175 13231223010 14701358900 22052038350 26462446020 33078057525 44104076700 66156115050 132312230100