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2100220122 = 2371113237727
BaseRepresentation
bin111110100101110…
…1101000011011010
312102100221020101110
41331023231003122
513300124020442
6544223001150
7103021401510
oct17513550332
95370836343
102100220122
11988579510
124a74391b6
13276167100
1415cd064b0
15c45ac69c
hex7d2ed0da

2100220122 has 192 divisors, whose sum is σ = 5832013824. Its totient is φ = 489265920.

The previous prime is 2100220099. The next prime is 2100220139. The reversal of 2100220122 is 2210220012.

It is a junction number, because it is equal to n+sod(n) for n = 2100220098 and 2100220107.

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, 2888523 + ... + 2889249.

It is an arithmetic number, because the mean of its divisors is an integer number (30375072).

Almost surely, 22100220122 is an apocalyptic number.

2100220122 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 2100220122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916006912).

2100220122 is an abundant number, since it is smaller than the sum of its proper divisors (3731793702).

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

2100220122 is a wasteful number, since it uses less digits than its factorization.

2100220122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 800 counting only the distinct ones).

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

The square root of 2100220122 is about 45828.1586145461. The cubic root of 2100220122 is about 1280.6239068603.

Adding to 2100220122 its reverse (2210220012), we get a palindrome (4310440134).

It can be divided in two parts, 2100 and 220122, that added together give a palindrome (222222).

The spelling of 2100220122 in words is "two billion, one hundred million, two hundred twenty thousand, one hundred twenty-two".