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132202031112 = 23322922183281
BaseRepresentation
bin111101100011111011…
…0101110100000001000
3110122020101110000102200
41323013312232200020
54131222204443422
6140422140200200
712360042503064
oct1730766564010
9418211400380
10132202031112
1151080666758
1221756239060
13c60b167818
146581b14aa4
15368b3322ac
hex1ec7dae808

132202031112 has 72 divisors (see below), whose sum is σ = 370819531290. Its totient is φ = 42547760640.

The previous prime is 132202031047. The next prime is 132202031147. The reversal of 132202031112 is 211130202231.

132202031112 is a `hidden beast` number, since 1 + 322 + 0 + 20 + 311 + 12 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 114104786436 + 18097244676 = 337794^2 + 134526^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1031089 + ... + 1152192.

Almost surely, 2132202031112 is an apocalyptic number.

132202031112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132202031112 is an abundant number, since it is smaller than the sum of its proper divisors (238617500178).

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

132202031112 is a wasteful number, since it uses less digits than its factorization.

132202031112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183351 (or 2183315 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 132202031112 its reverse (211130202231), we get a palindrome (343332233343).

The spelling of 132202031112 in words is "one hundred thirty-two billion, two hundred two million, thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 841 1044 1682 2088 2523 3364 5046 6728 7569 10092 15138 20184 30276 60552 2183281 4366562 6549843 8733124 13099686 17466248 19649529 26199372 39299058 52398744 63315149 78598116 126630298 157196232 189945447 253260596 379890894 506521192 569836341 759781788 1139672682 1519563576 1836139321 2279345364 3672278642 4558690728 5508417963 7344557284 11016835926 14689114568 16525253889 22033671852 33050507778 44067343704 66101015556 132202031112