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110414212020 = 223457101149647
BaseRepresentation
bin110011011010100110…
…0110010101110110100
3101112222221211010110000
41212311030302232310
53302112014241040
6122420143431300
710656111213450
oct1466514625664
9345887733400
10110414212020
114290aa427a2
12194955b5530
13a548276288
1454b6207660
152d13667130
hex19b5332bb4

110414212020 has 480 divisors, whose sum is σ = 403079846400. Its totient is φ = 24781593600.

The previous prime is 110414212019. The next prime is 110414212021. The reversal of 110414212020 is 20212414011.

110414212020 is a `hidden beast` number, since 1 + 1 + 0 + 41 + 421 + 202 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (110414212019) and next prime (110414212021).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110414211984 and 110414212002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110414212021) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 170655337 + ... + 170655983.

It is an arithmetic number, because the mean of its divisors is an integer number (839749680).

Almost surely, 2110414212020 is an apocalyptic number.

110414212020 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 110414212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201539923200).

110414212020 is an abundant number, since it is smaller than the sum of its proper divisors (292665634380).

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

110414212020 is a wasteful number, since it uses less digits than its factorization.

110414212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 110414212020 its reverse (20212414011), we get a palindrome (130626626031).

The spelling of 110414212020 in words is "one hundred ten billion, four hundred fourteen million, two hundred twelve thousand, twenty".