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123031404132 = 2237132331158017
BaseRepresentation
bin111001010010100111…
…1100011111001100100
3102202120021021220012120
41302211033203321210
54003432014413012
6132304141545540
711613555452220
oct1624517437144
9382507256176
10123031404132
11481a502499a
121ba16b752b0
13b7a9245a20
145d51ba5780
15330119e58c
hex1ca53e3e64

123031404132 has 192 divisors, whose sum is σ = 380578136064. Its totient is φ = 30035681280.

The previous prime is 123031404113. The next prime is 123031404137. The reversal of 123031404132 is 231404130321.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (123031404137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 699588 + ... + 857604.

It is an arithmetic number, because the mean of its divisors is an integer number (1982177792).

Almost surely, 2123031404132 is an apocalyptic number.

123031404132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123031404132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190289068032).

123031404132 is an abundant number, since it is smaller than the sum of its proper divisors (257546731932).

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

123031404132 is a wasteful number, since it uses less digits than its factorization.

123031404132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158098 (or 158096 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 123031404132 its reverse (231404130321), we get a palindrome (354435534453).

The spelling of 123031404132 in words is "one hundred twenty-three billion, thirty-one million, four hundred four thousand, one hundred thirty-two".