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10350222345 = 3251609142949
BaseRepresentation
bin10011010001110101…
…11101110000001001
3222201022202202212100
421220322331300021
5132144124103340
64431013104013
7514326303231
oct115072756011
928638682770
1010350222345
114431481271
12200a328009
13c8c420928
1470288acc1
154089dc830
hex268ebdc09

10350222345 has 24 divisors (see below), whose sum is σ = 17951661000. Its totient is φ = 5516649216.

The previous prime is 10350222313. The next prime is 10350222391. The reversal of 10350222345 is 54322205301.

It is a happy number.

10350222345 is a `hidden beast` number, since 103 + 502 + 22 + 34 + 5 = 666.

10350222345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3735165456 + 6615056889 = 61116^2 + 81333^2 .

It is not a de Polignac number, because 10350222345 - 25 = 10350222313 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 931 + ... + 143879.

It is an arithmetic number, because the mean of its divisors is an integer number (747985875).

Almost surely, 210350222345 is an apocalyptic number.

10350222345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10350222345 is a deficient number, since it is larger than the sum of its proper divisors (7601438655).

10350222345 is a wasteful number, since it uses less digits than its factorization.

10350222345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144569 (or 144566 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 10350222345 its reverse (54322205301), we get a palindrome (64672427646).

The spelling of 10350222345 in words is "ten billion, three hundred fifty million, two hundred twenty-two thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 1609 4827 8045 14481 24135 72405 142949 428847 714745 1286541 2144235 6432705 230004941 690014823 1150024705 2070044469 3450074115 10350222345