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123133122132 = 22313417764783
BaseRepresentation
bin111001010101101001…
…1100101011001010100
3102202211100200201001220
41302223103211121110
54004134034402012
6132322214050340
711616232161156
oct1625323453124
9382740621056
10123133122132
114824748a159
121ba450499b0
13b7c433b4a7
145d614c2ad6
15330a09308c
hex1cab4e5654

123133122132 has 24 divisors (see below), whose sum is σ = 287332407936. Its totient is φ = 41041261248.

The previous prime is 123133122017. The next prime is 123133122149. The reversal of 123133122132 is 231221331321.

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

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 221388 + ... + 543395.

It is an arithmetic number, because the mean of its divisors is an integer number (11972183664).

Almost surely, 2123133122132 is an apocalyptic number.

123133122132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123133122132 is an abundant number, since it is smaller than the sum of its proper divisors (164199285804).

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

123133122132 is a wasteful number, since it uses less digits than its factorization.

123133122132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778207 (or 778205 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 123133122132 its reverse (231221331321), we get a palindrome (354354453453).

The spelling of 123133122132 in words is "one hundred twenty-three billion, one hundred thirty-three million, one hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13417 26834 40251 53668 80502 161004 764783 1529566 2294349 3059132 4588698 9177396 10261093511 20522187022 30783280533 41044374044 61566561066 123133122132