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20010222211122 = 232112135322958229
BaseRepresentation
bin1001000110010111111100…
…01011111101000000110010
32121211221212210100122010200
410203023332023331000302
510110321413341223442
6110320322535340030
74133455650256443
oct443137613750062
977757783318120
1020010222211122
116415318855600
1222b2146b21616
13b21c57034180
144d26ddb052ca
1524a7a24d934c
hex1232fe2fd032

20010222211122 has 288 divisors, whose sum is σ = 52518543058800. Its totient is φ = 5467581250560.

The previous prime is 20010222211051. The next prime is 20010222211157. The reversal of 20010222211122 is 22111222201002.

It is a happy number.

20010222211122 is a `hidden beast` number, since 200 + 10 + 222 + 211 + 1 + 22 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15056254697121 + 4953967514001 = 3880239^2 + 2225751^2 .

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 = 20010222211095 and 20010222211104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 343617904 + ... + 343676132.

Almost surely, 220010222211122 is an apocalyptic number.

20010222211122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20010222211122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26259271529400).

20010222211122 is an abundant number, since it is smaller than the sum of its proper divisors (32508320847678).

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

20010222211122 is a wasteful number, since it uses less digits than its factorization.

20010222211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58554 (or 58540 counting only the distinct ones).

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

Adding to 20010222211122 its reverse (22111222201002), we get a palindrome (42121444412124).

The spelling of 20010222211122 in words is "twenty trillion, ten billion, two hundred twenty-two million, two hundred eleven thousand, one hundred twenty-two".