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100023420200 = 235211172612579
BaseRepresentation
bin101110100100111011…
…1000100010100101000
3100120011210201012201112
41131021313010110220
53114321443421300
6113541121005452
710140450020654
oct1351167042450
9316153635645
10100023420200
1139468682040
1217475783888
13958061c852
144bac1d9a64
152906313e35
hex1749dc4528

100023420200 has 288 divisors, whose sum is σ = 274021077600. Its totient is φ = 33658368000.

The previous prime is 100023420199. The next prime is 100023420209. The reversal of 100023420200 is 2024320001.

It is not an unprimeable number, because it can be changed into a prime (100023420209) 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 71 ways as a sum of consecutive naturals, for example, 38782511 + ... + 38785089.

It is an arithmetic number, because the mean of its divisors is an integer number (951462075).

Almost surely, 2100023420200 is an apocalyptic number.

100023420200 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 100023420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137010538800).

100023420200 is an abundant number, since it is smaller than the sum of its proper divisors (173997657400).

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

100023420200 is a wasteful number, since it uses less digits than its factorization.

100023420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 100023420200 its reverse (2024320001), we get a palindrome (102047740201).

The spelling of 100023420200 in words is "one hundred billion, twenty-three million, four hundred twenty thousand, two hundred".