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10126033333 = 13259917357
BaseRepresentation
bin10010110111000111…
…10000000110110101
3222010200220210100121
421123203300012311
5131214231031313
64352444011541
7505634602033
oct113343600665
928120823317
1010126033333
114326977799
121b67230bb1
13c54b47600
146c0bad553
153e3ea628d
hex25b8f01b5

10126033333 has 6 divisors (see below), whose sum is σ = 10964876514. Its totient is φ = 9347107536.

The previous prime is 10126033279. The next prime is 10126033363. The reversal of 10126033333 is 33333062101.

10126033333 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 3 ways, for example, as 1157564529 + 8968468804 = 34023^2 + 94702^2 .

It is not a de Polignac number, because 10126033333 - 213 = 10126025141 is a prime.

It is a super-2 number, since 2×101260333332 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10126033298 and 10126033307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10126033363) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 29958510 + ... + 29958847.

It is an arithmetic number, because the mean of its divisors is an integer number (1827479419).

Almost surely, 210126033333 is an apocalyptic number.

10126033333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10126033333 is a deficient number, since it is larger than the sum of its proper divisors (838843181).

10126033333 is an equidigital number, since it uses as much as digits as its factorization.

10126033333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59917383 (or 59917370 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 10126033333 its reverse (33333062101), we get a palindrome (43459095434).

The spelling of 10126033333 in words is "ten billion, one hundred twenty-six million, thirty-three thousand, three hundred thirty-three".

Divisors: 1 13 169 59917357 778925641 10126033333