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123023442132 = 22324337892189
BaseRepresentation
bin111001010010011000…
…1001100000011010100
3102202112201022101101200
41302210301030003110
54003423000122012
6132303255152500
711613431001333
oct1624461140324
9382481271350
10123023442132
11481a0586a28
121ba14375730
13b7a76b8996
145d50ad1d1a
15330062a3dc
hex1ca4c4c0d4

123023442132 has 36 divisors (see below), whose sum is σ = 311694151860. Its totient is φ = 40913102592.

The previous prime is 123023442067. The next prime is 123023442137. The reversal of 123023442132 is 231244320321.

123023442132 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 234 + 421 + 3 + 2 = 666.

123023442132 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 40290124176 + 82733317956 = 200724^2 + 287634^2 .

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 = 123023442096 and 123023442105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123023442137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3930507 + ... + 3961682.

It is an arithmetic number, because the mean of its divisors is an integer number (8658170885).

Almost surely, 2123023442132 is an apocalyptic number.

123023442132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123023442132 is an abundant number, since it is smaller than the sum of its proper divisors (188670709728).

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

123023442132 is a wasteful number, since it uses less digits than its factorization.

123023442132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7892632 (or 7892627 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 123023442132 its reverse (231244320321), we get a palindrome (354267762453).

The spelling of 123023442132 in words is "one hundred twenty-three billion, twenty-three million, four hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 433 866 1299 1732 2598 3897 5196 7794 15588 7892189 15784378 23676567 31568756 47353134 71029701 94706268 142059402 284118804 3417317837 6834635674 10251953511 13669271348 20503907022 30755860533 41007814044 61511721066 123023442132