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123422664132 = 223218118941477
BaseRepresentation
bin111001011110010010…
…0000110010111000100
3102210120112111222000200
41302330210012113010
54010232200223012
6132411040010500
711626346223015
oct1627444062704
9383515458020
10123422664132
1148385970369
121bb06000a30
13b83c317111
145d8bb3300c
1533256d83dc
hex1cbc9065c4

123422664132 has 36 divisors (see below), whose sum is σ = 313708758636. Its totient is φ = 40913588160.

The previous prime is 123422664089. The next prime is 123422664137. The reversal of 123422664132 is 231466224321.

123422664132 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 2 + 2 + 6 + 641 + 3 + 2 = 666.

123422664132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 21396083076 + 102026581056 = 146274^2 + 319416^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (123422664137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9464223 + ... + 9477254.

Almost surely, 2123422664132 is an apocalyptic number.

123422664132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123422664132 is an abundant number, since it is smaller than the sum of its proper divisors (190286094504).

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

123422664132 is a wasteful number, since it uses less digits than its factorization.

123422664132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18941668 (or 18941663 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 123422664132 its reverse (231466224321), we get a palindrome (354888888453).

The spelling of 123422664132 in words is "one hundred twenty-three billion, four hundred twenty-two million, six hundred sixty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 181 362 543 724 1086 1629 2172 3258 6516 18941477 37882954 56824431 75765908 113648862 170473293 227297724 340946586 681893172 3428407337 6856814674 10285222011 13713629348 20570444022 30855666033 41140888044 61711332066 123422664132