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2020100112100 = 2252731071813041
BaseRepresentation
bin11101011001010111010…
…110010111111011100100
321011010020020202100012101
4131121113112113323210
5231044131112041400
64144004324101444
7265642651432000
oct35312726277344
97133206670171
102020100112100
117097a0938584
12287613534884
131186578c1825
146dab8195700
153783292156a
hex1d657597ee4

2020100112100 has 288 divisors, whose sum is σ = 5190080313600. Its totient is φ = 682117632000.

The previous prime is 2020100112091. The next prime is 2020100112131. The reversal of 2020100112100 is 12110010202.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 664286580 + ... + 664289620.

It is an arithmetic number, because the mean of its divisors is an integer number (18021112200).

Almost surely, 22020100112100 is an apocalyptic number.

2020100112100 is a gapful number since it is divisible by the number (20) 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 2020100112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2595040156800).

2020100112100 is an abundant number, since it is smaller than the sum of its proper divisors (3169980201500).

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

2020100112100 is a wasteful number, since it uses less digits than its factorization.

2020100112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3364 (or 3343 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2020100112100 its reverse (12110010202), we get a palindrome (2032210122302).

The spelling of 2020100112100 in words is "two trillion, twenty billion, one hundred million, one hundred twelve thousand, one hundred".