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123030251100020 = 2251131101241741121
BaseRepresentation
bin11011111110010100110110…
…011010011101011101110100
3121010121120120201211102020102
4123332110312122131131310
5112111211423240200040
61113355152254253232
734625433212433155
oct3376246632353564
9533546521742212
10123030251100020
11362239223990a0
12119701061b7218
13538591a35ac54
1422549a589592c
15e35474a73515
hex6fe53669d774

123030251100020 has 192 divisors, whose sum is σ = 295043300665344. Its totient is φ = 42688512000000.

The previous prime is 123030251100013. The next prime is 123030251100037. The reversal of 123030251100020 is 20001152030321.

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

It is a junction number, because it is equal to n+sod(n) for n = 123030251099965 and 123030251100001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165635060 + ... + 166376180.

It is an arithmetic number, because the mean of its divisors is an integer number (1536683857632).

Almost surely, 2123030251100020 is an apocalyptic number.

123030251100020 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 123030251100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147521650332672).

123030251100020 is an abundant number, since it is smaller than the sum of its proper divisors (172013049565324).

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

123030251100020 is a wasteful number, since it uses less digits than its factorization.

123030251100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741514 (or 741512 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The spelling of 123030251100020 in words is "one hundred twenty-three trillion, thirty billion, two hundred fifty-one million, one hundred thousand, twenty".