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2113400233 = 7243130617
BaseRepresentation
bin111110111110111…
…1110110110101001
312110021201212002201
41331331332312221
513312012301413
6545413300201
7103241414500
oct17575766651
95407655081
102113400233
11994a6096a
124ab934661
13278b002a9
14160977837
15c58129dd
hex7df7eda9

2113400233 has 6 divisors (see below), whose sum is σ = 2458445226. Its totient is φ = 1811485872.

The previous prime is 2113400221. The next prime is 2113400239. The reversal of 2113400233 is 3320043112.

It can be written as a sum of positive squares in only one way, i.e., 2111218704 + 2181529 = 45948^2 + 1477^2 .

It is not a de Polignac number, because 2113400233 - 29 = 2113399721 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 2113400233.

It is not an unprimeable number, because it can be changed into a prime (2113400239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21565260 + ... + 21565357.

It is an arithmetic number, because the mean of its divisors is an integer number (409740871).

Almost surely, 22113400233 is an apocalyptic number.

It is an amenable number.

2113400233 is a deficient number, since it is larger than the sum of its proper divisors (345044993).

2113400233 is an equidigital number, since it uses as much as digits as its factorization.

2113400233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43130631 (or 43130624 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 2113400233 is about 45971.7329779942. The cubic root of 2113400233 is about 1283.2972107372.

Adding to 2113400233 its reverse (3320043112), we get a palindrome (5433443345).

The spelling of 2113400233 in words is "two billion, one hundred thirteen million, four hundred thousand, two hundred thirty-three".

Divisors: 1 7 49 43130617 301914319 2113400233