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10013333011 = 1110167713313
BaseRepresentation
bin10010101001101011…
…10101011000010011
3221211211212000120121
421110311311120103
5131001403124021
64333340251111
7503065632463
oct112465653023
927754760517
1010013333011
1142792a1330
121b35540a97
13c376a8126
146adc33ba3
153d9143741
hex254d75613

10013333011 has 16 divisors (see below), whose sum is σ = 11048915808. Its totient is φ = 8998912000.

The previous prime is 10013333009. The next prime is 10013333021. The reversal of 10013333011 is 11033331001.

10013333011 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 10013333011 - 21 = 10013333009 is a prime.

It is a super-2 number, since 2×100133330112 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10013333021) 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, 745491 + ... + 758803.

It is an arithmetic number, because the mean of its divisors is an integer number (690557238).

Almost surely, 210013333011 is an apocalyptic number.

10013333011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10013333011 is a deficient number, since it is larger than the sum of its proper divisors (1035582797).

10013333011 is a wasteful number, since it uses less digits than its factorization.

10013333011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14102.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 10013333011 its reverse (11033331001), we get a palindrome (21046664012).

The spelling of 10013333011 in words is "ten billion, thirteen million, three hundred thirty-three thousand, eleven".

Divisors: 1 11 101 677 1111 7447 13313 68377 146443 752147 1344613 9012901 14790743 99141911 910303001 10013333011