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10042222241 = 4724546049
BaseRepresentation
bin10010101101001000…
…00010011010100001
3221220212012202011002
421112210002122201
5131031302102431
64340251401345
7503566323602
oct112644023241
927825182132
1010042222241
114293633227
121b43153255
13c4068164c
146b39d3da9
153db94d3cb
hex2569026a1

10042222241 has 6 divisors (see below), whose sum is σ = 10260434850. Its totient is φ = 9828555776.

The previous prime is 10042222237. The next prime is 10042222259. The reversal of 10042222241 is 14222224001.

It can be written as a sum of positive squares in only one way, i.e., 10040841616 + 1380625 = 100204^2 + 1175^2 .

It is not a de Polignac number, because 10042222241 - 22 = 10042222237 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10042222231) 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 5 ways as a sum of consecutive naturals, for example, 2270816 + ... + 2275233.

It is an arithmetic number, because the mean of its divisors is an integer number (1710072475).

Almost surely, 210042222241 is an apocalyptic number.

It is an amenable number.

10042222241 is a deficient number, since it is larger than the sum of its proper divisors (218212609).

10042222241 is an frugal number, since it uses more digits than its factorization.

10042222241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4546143 (or 4546096 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10042222241 its reverse (14222224001), we get a palindrome (24264446242).

The spelling of 10042222241 in words is "ten billion, forty-two million, two hundred twenty-two thousand, two hundred forty-one".

Divisors: 1 47 2209 4546049 213664303 10042222241