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124100132000 = 25531315231567
BaseRepresentation
bin111001110010011110…
…0011011110010100000
3102212022202021220020012
41303210330123302200
54013124113211000
6133002200304052
711652213501005
oct1634474336240
9385282256205
10124100132000
11486a331aa69
1220074a72028
13b919797690
146013ac38ac
153364e09735
hex1ce4f1bca0

124100132000 has 192 divisors, whose sum is σ = 328794246144. Its totient is φ = 45762278400.

The previous prime is 124100131997. The next prime is 124100132003. The reversal of 124100132000 is 231001421.

It is an interprime number because it is at equal distance from previous prime (124100131997) and next prime (124100132003).

It is not an unprimeable number, because it can be changed into a prime (124100132003) 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 31 ways as a sum of consecutive naturals, for example, 79195217 + ... + 79196783.

It is an arithmetic number, because the mean of its divisors is an integer number (1712470032).

Almost surely, 2124100132000 is an apocalyptic number.

124100132000 is a gapful number since it is divisible by the number (10) 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 124100132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164397123072).

124100132000 is an abundant number, since it is smaller than the sum of its proper divisors (204694114144).

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

124100132000 is a wasteful number, since it uses less digits than its factorization.

124100132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3128 (or 3110 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 124100132000 its reverse (231001421), we get a palindrome (124331133421).

The spelling of 124100132000 in words is "one hundred twenty-four billion, one hundred million, one hundred thirty-two thousand".