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2200102120 = 23555002553
BaseRepresentation
bin1000001100100010…
…1110010011101000
312200022212202201201
42003020232103220
514001211231440
61002151453544
7105343362616
oct20310562350
95608782651
102200102120
11a2999a317
125149872b4
13290a68c98
1416c2a66b6
15cd23c19a
hex8322e4e8

2200102120 has 16 divisors (see below), whose sum is σ = 4950229860. Its totient is φ = 880040832.

The previous prime is 2200102061. The next prime is 2200102159. The reversal of 2200102120 is 212010022.

It can be written as a sum of positive squares in 2 ways, for example, as 2125763236 + 74338884 = 46106^2 + 8622^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2200102097 and 2200102106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27501237 + ... + 27501316.

Almost surely, 22200102120 is an apocalyptic number.

2200102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200102120 is an abundant number, since it is smaller than the sum of its proper divisors (2750127740).

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

2200102120 is a wasteful number, since it uses less digits than its factorization.

2200102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55002564 (or 55002560 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2200102120 is about 46905.2461884596. The cubic root of 2200102120 is about 1300.6115702368.

Adding to 2200102120 its reverse (212010022), we get a palindrome (2412112142).

The spelling of 2200102120 in words is "two billion, two hundred million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 55002553 110005106 220010212 275012765 440020424 550025530 1100051060 2200102120