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22100200122 = 23711213379041
BaseRepresentation
bin10100100101010001…
…100100101010111010
32010001012102111012110
4110211101210222322
5330230122400442
614052551553150
71411443413220
oct244521445272
963035374173
1022100200122
119410a94500
12434938b7b6
1321128358c0
1410d91c4b10
1589532269c
hex525464aba

22100200122 has 192 divisors, whose sum is σ = 61418472192. Its totient is φ = 5154969600.

The previous prime is 22100200121. The next prime is 22100200127.

22100200122 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 22100200098 and 22100200107.

It is not an unprimeable number, because it can be changed into a prime (22100200121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2439922 + ... + 2448962.

It is an arithmetic number, because the mean of its divisors is an integer number (319887876).

Almost surely, 222100200122 is an apocalyptic number.

22100200122 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 22100200122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30709236096).

22100200122 is an abundant number, since it is smaller than the sum of its proper divisors (39318272070).

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

22100200122 is a wasteful number, since it uses less digits than its factorization.

22100200122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9125 (or 9114 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

It can be divided in two parts, 22100 and 200122, that added together give a palindrome (222222).

The spelling of 22100200122 in words is "twenty-two billion, one hundred million, two hundred thousand, one hundred twenty-two".