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2200102022120 = 235308811781113
BaseRepresentation
bin100000000001000000010…
…011001010101111101000
321210022211220002210111112
4200001000103022233220
5242021302104201440
64402413553445452
7314644402425452
oct40010023125750
97708756083445
102200102022120
11779070264792
122b6489870888
1312c612a54562
14786b232b2d2
153c36a3a5965
hex200404cabe8

2200102022120 has 32 divisors (see below), whose sum is σ = 4950392629320. Its totient is φ = 880011816960.

The previous prime is 2200102022113. The next prime is 2200102022123. The reversal of 2200102022120 is 212202010022.

It can be written as a sum of positive squares in 4 ways, for example, as 2138338837636 + 61763184484 = 1462306^2 + 248522^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2200102022095 and 2200102022104.

It is not an unprimeable number, because it can be changed into a prime (2200102022123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 344684 + ... + 2125796.

Almost surely, 22200102022120 is an apocalyptic number.

2200102022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200102022120 is an abundant number, since it is smaller than the sum of its proper divisors (2750290607200).

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

2200102022120 is a wasteful number, since it uses less digits than its factorization.

2200102022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812005 (or 1812001 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2200102022120 its reverse (212202010022), we get a palindrome (2412304032142).

The spelling of 2200102022120 in words is "two trillion, two hundred billion, one hundred two million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 30881 61762 123524 154405 247048 308810 617620 1235240 1781113 3562226 7124452 8905565 14248904 17811130 35622260 71244520 55002550553 110005101106 220010202212 275012752765 440020404424 550025505530 1100051011060 2200102022120