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220010121100 = 2252711297113877
BaseRepresentation
bin1100110011100110100…
…0000000011110001100
3210000212212212011021201
43030321220000132030
512101040042333400
6245023220235244
721616025113330
oct3147150003614
9700785764251
10220010121100
118533aa83370
1236780b3bb24
1317992b2b813
14a91187d7c0
155aca03e06a
hex3339a0078c

220010121100 has 288 divisors, whose sum is σ = 624470031360. Its totient is φ = 65272704000.

The previous prime is 220010121053. The next prime is 220010121139. The reversal of 220010121100 is 1121010022.

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, 15847362 + ... + 15861238.

It is an arithmetic number, because the mean of its divisors is an integer number (2168298720).

Almost surely, 2220010121100 is an apocalyptic number.

220010121100 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 220010121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312235015680).

220010121100 is an abundant number, since it is smaller than the sum of its proper divisors (404459910260).

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

220010121100 is a wasteful number, since it uses less digits than its factorization.

220010121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14009 (or 14002 counting only the distinct ones).

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

Adding to 220010121100 its reverse (1121010022), we get a palindrome (221131131122).

The spelling of 220010121100 in words is "two hundred twenty billion, ten million, one hundred twenty-one thousand, one hundred".