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101423432000 = 2653113793041
BaseRepresentation
bin101111001110101001…
…1101100000101000000
3100200210101002011212102
41132131103230011000
53130203344311000
6114332052045532
710220236643012
oct1363523540500
9320711064772
10101423432000
113a016979690
12177a66038a8
1397446a37b7
144ca21121b2
1529891ac3d5
hex179d4ec140

101423432000 has 224 divisors, whose sum is σ = 274822554240. Its totient is φ = 36771840000.

The previous prime is 101423431987. The next prime is 101423432009. The reversal of 101423432000 is 234324101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101423432009) 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 31 ways as a sum of consecutive naturals, for example, 33350480 + ... + 33353520.

Almost surely, 2101423432000 is an apocalyptic number.

101423432000 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 101423432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137411277120).

101423432000 is an abundant number, since it is smaller than the sum of its proper divisors (173399122240).

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

101423432000 is a wasteful number, since it uses less digits than its factorization.

101423432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3458 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 101423432000 its reverse (234324101), we get a palindrome (101657756101).

The spelling of 101423432000 in words is "one hundred one billion, four hundred twenty-three million, four hundred thirty-two thousand".