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100402023000 = 23353197124809
BaseRepresentation
bin101110110000001101…
…1010100101001011000
3100121011012010020010110
41131200123110221120
53121110404214000
6114042443444320
710153025054136
oct1354033245130
9317135106113
10100402023000
1139642362a14
12175605266a0
139610baba86
144c065d0756
15292969c850
hex17606d4a58

100402023000 has 256 divisors, whose sum is σ = 334399104000. Its totient is φ = 25006464000.

The previous prime is 100402022971. The next prime is 100402023011. The reversal of 100402023000 is 320204001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4034596 + ... + 4059404.

It is an arithmetic number, because the mean of its divisors is an integer number (1306246500).

Almost surely, 2100402023000 is an apocalyptic number.

100402023000 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 100402023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167199552000).

100402023000 is an abundant number, since it is smaller than the sum of its proper divisors (233997081000).

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

100402023000 is a wasteful number, since it uses less digits than its factorization.

100402023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24923 (or 24909 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 100402023000 its reverse (320204001), we get a palindrome (100722227001).

The spelling of 100402023000 in words is "one hundred billion, four hundred two million, twenty-three thousand".