Search a number
-
+
2002200202120 = 235291726034657
BaseRepresentation
bin11101001000101100011…
…011101000101110001000
321002102000202220200212111
4131020230123220232020
5230301001222431440
64131444214552104
7264440246625346
oct35105433505610
97072022820774
102002200202120
117021458a9248
12284058968634
13116a64336a11
146cc9ab80996
15371362394ea
hex1d22c6e8b88

2002200202120 has 32 divisors (see below), whose sum is σ = 4660293576600. Its totient is φ = 773263525888.

The previous prime is 2002200202081. The next prime is 2002200202141. The reversal of 2002200202120 is 212020022002.

It can be written as a sum of positive squares in 4 ways, for example, as 1811355289956 + 190844912164 = 1345866^2 + 436858^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2002200202120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 863016169 + ... + 863018488.

Almost surely, 22002200202120 is an apocalyptic number.

2002200202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002200202120 is an abundant number, since it is smaller than the sum of its proper divisors (2658093374480).

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

2002200202120 is a wasteful number, since it uses less digits than its factorization.

2002200202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726034697 (or 1726034693 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 2002200202120 its reverse (212020022002), we get a palindrome (2214220224122).

The spelling of 2002200202120 in words is "two trillion, two billion, two hundred million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 1726034657 3452069314 6904138628 8630173285 13808277256 17260346570 34520693140 50055005053 69041386280 100110010106 200220020212 250275025265 400440040424 500550050530 1001100101060 2002200202120