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10114013233 = 293723939439
BaseRepresentation
bin10010110101101011…
…11001100000110001
3222002212022002212201
421122311321200301
5131203141410413
64351334223201
7505430460022
oct113265714061
928085262781
1010114013233
114320107925
121b631b4b01
13c524c941c
146bd360c49
153e2dce9dd
hex25ad79831

10114013233 has 16 divisors (see below), whose sum is σ = 10790784000. Its totient is φ = 9461333952.

The previous prime is 10114013197. The next prime is 10114013249. The reversal of 10114013233 is 33231041101.

10114013233 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 10114013233 - 233 = 1524078641 is a prime.

It is a super-2 number, since 2×101140132332 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10114013233.

It is not an unprimeable number, because it can be changed into a prime (10114014233) 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, 236728 + ... + 276166.

It is an arithmetic number, because the mean of its divisors is an integer number (674424000).

Almost surely, 210114013233 is an apocalyptic number.

It is an amenable number.

10114013233 is a deficient number, since it is larger than the sum of its proper divisors (676770767).

10114013233 is a wasteful number, since it uses less digits than its factorization.

10114013233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39744.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10114013233 its reverse (33231041101), we get a palindrome (43345054334).

The spelling of 10114013233 in words is "ten billion, one hundred fourteen million, thirteen thousand, two hundred thirty-three".

Divisors: 1 29 37 239 1073 6931 8843 39439 256447 1143731 1459243 9425921 42318047 273351709 348759077 10114013233