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2200202122120 = 235113486770381
BaseRepresentation
bin100000000001000110010…
…001000001001110001000
321210100002212110101212221
4200001012101001032020
5242022003220401440
64402431531143424
7314650026315262
oct40010621011610
97710085411787
102200202122120
11779111814362
122b64b72a4b74
1312c62a701722
14786c1746b32
153c374079d4a
hex20046441388

2200202122120 has 32 divisors (see below), whose sum is σ = 4994264119320. Its totient is φ = 872292520960.

The previous prime is 2200202122109. The next prime is 2200202122133. The reversal of 2200202122120 is 212212020022.

It can be written as a sum of positive squares in 4 ways, for example, as 1036474669476 + 1163727452644 = 1018074^2 + 1078762^2 .

It is a super-4 number, since 4×22002021221204 (a number of 50 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2200202122094 and 2200202122103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243380671 + ... + 243389710.

Almost surely, 22200202122120 is an apocalyptic number.

2200202122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200202122120 is an abundant number, since it is smaller than the sum of its proper divisors (2794061997200).

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

2200202122120 is a wasteful number, since it uses less digits than its factorization.

2200202122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486770505 (or 486770501 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2200202122120 its reverse (212212020022), we get a palindrome (2412414142142).

The spelling of 2200202122120 in words is "two trillion, two hundred billion, two hundred two million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 113 226 452 565 904 1130 2260 4520 486770381 973540762 1947081524 2433851905 3894163048 4867703810 9735407620 19470815240 55005053053 110010106106 220020212212 275025265265 440040424424 550050530530 1100101061060 2200202122120