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100431022000 = 245350215511
BaseRepresentation
bin101110110001000100…
…1111100011110110000
3100121020012200112021111
41131202021330132300
53121140320201000
6114045401203104
710153526413261
oct1354211743660
9317205615244
10100431022000
113965776a331
121756a190494
139616bc324a
144c0a3bc968
15292bec9cba
hex176227c7b0

100431022000 has 40 divisors (see below), whose sum is σ = 242842216032. Its totient is φ = 40172408000.

The previous prime is 100431021991. The next prime is 100431022033. The reversal of 100431022000 is 220134001.

It is a tau number, because it is divible by the number of its divisors (40).

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, 25105756 + ... + 25109755.

Almost surely, 2100431022000 is an apocalyptic number.

100431022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100431022000 is an abundant number, since it is smaller than the sum of its proper divisors (142411194032).

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

100431022000 is an equidigital number, since it uses as much as digits as its factorization.

100431022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50215534 (or 50215518 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 100431022000 its reverse (220134001), we get a palindrome (100651156001).

The spelling of 100431022000 in words is "one hundred billion, four hundred thirty-one million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 50215511 100431022 200862044 251077555 401724088 502155110 803448176 1004310220 1255387775 2008620440 2510775550 4017240880 5021551100 6276938875 10043102200 12553877750 20086204400 25107755500 50215511000 100431022000