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10333137041 = 83397557563
BaseRepresentation
bin10011001111110011…
…10010100010010001
3222200010121202020022
421213321302202101
5132130240341131
64425202553225
7514031133653
oct114771624221
928603552208
1010333137041
114422871887
122004668815
13c88a1b096
147004c06d3
1540726537b
hex267e72891

10333137041 has 16 divisors (see below), whose sum is σ = 10521451584. Its totient is φ = 10146590784.

The previous prime is 10333136993. The next prime is 10333137049. The reversal of 10333137041 is 14073133301.

10333137041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10333137041 - 26 = 10333136977 is a prime.

It is a super-2 number, since 2×103331370412 (a number of 21 digits) contains 22 as substring.

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 10333137041.

It is not an unprimeable number, because it can be changed into a prime (10333137049) 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 15 ways as a sum of consecutive naturals, for example, 18353426 + ... + 18353988.

It is an arithmetic number, because the mean of its divisors is an integer number (657590724).

Almost surely, 210333137041 is an apocalyptic number.

It is an amenable number.

10333137041 is a deficient number, since it is larger than the sum of its proper divisors (188314543).

10333137041 is an equidigital number, since it uses as much as digits as its factorization.

10333137041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600.

The product of its (nonzero) digits is 2268, while the sum is 26.

The spelling of 10333137041 in words is "ten billion, three hundred thirty-three million, one hundred thirty-seven thousand, forty-one".

Divisors: 1 83 397 557 563 32951 46231 46729 221129 223511 313591 18353707 18551413 26028053 124495627 10333137041