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132100122132 = 223311111195389
BaseRepresentation
bin111101100000111000…
…1111110011000010100
3110121222021200111121000
41323001301332120110
54131020112402012
6140404100023300
712354364340256
oct1730161763024
9417867614530
10132100122132
1151029090a60
1221728091b30
13c5c3006154
146572387cd6
153682401ddc
hex1ec1c7e614

132100122132 has 48 divisors (see below), whose sum is σ = 373616510400. Its totient is φ = 40030339680.

The previous prime is 132100122107. The next prime is 132100122137. The reversal of 132100122132 is 231221001231.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132100122137) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 55596507 + ... + 55598882.

It is an arithmetic number, because the mean of its divisors is an integer number (7783677300).

Almost surely, 2132100122132 is an apocalyptic number.

132100122132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132100122132 is an abundant number, since it is smaller than the sum of its proper divisors (241516388268).

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

132100122132 is a wasteful number, since it uses less digits than its factorization.

132100122132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111195413 (or 111195405 counting only the distinct ones).

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

Adding to 132100122132 its reverse (231221001231), we get a palindrome (363321123363).

The spelling of 132100122132 in words is "one hundred thirty-two billion, one hundred million, one hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 111195389 222390778 333586167 444781556 667172334 1000758501 1223149279 1334344668 2001517002 2446298558 3002275503 3669447837 4003034004 4892597116 6004551006 7338895674 11008343511 12009102012 14677791348 22016687022 33025030533 44033374044 66050061066 132100122132