Search a number
-
+
2200521254401 = 109131173890803
BaseRepresentation
bin100000000001011001010…
…010011010011000000001
321210100221002222000002001
4200001121102122120001
5242023131420120101
64402523331224001
7314660653021141
oct40013122323001
97710832860061
102200521254401
11779265976148
122b6586148001
1312c67b86a9b2
1478711c9a921
153c3920b7901
hex2005949a601

2200521254401 has 16 divisors (see below), whose sum is σ = 2250598489920. Its totient is φ = 2151179933760.

The previous prime is 2200521254377. The next prime is 2200521254411. The reversal of 2200521254401 is 1044521250022.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2200521254401 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2200521254401.

It is not an unprimeable number, because it can be changed into a prime (2200521254411) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2024866 + ... + 2915668.

It is an arithmetic number, because the mean of its divisors is an integer number (140662405620).

Almost surely, 22200521254401 is an apocalyptic number.

It is an amenable number.

2200521254401 is a deficient number, since it is larger than the sum of its proper divisors (50077235519).

2200521254401 is a wasteful number, since it uses less digits than its factorization.

2200521254401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891216.

The product of its (nonzero) digits is 6400, while the sum is 28.

The spelling of 2200521254401 in words is "two trillion, two hundred billion, five hundred twenty-one million, two hundred fifty-four thousand, four hundred one".

Divisors: 1 109 131 173 14279 18857 22663 890803 2470267 97097527 116695193 154108919 12719776037 16797872171 20188268389 2200521254401