Search a number
-
+
10114731135 = 3251131989131
BaseRepresentation
bin10010110101110001…
…01000110001111111
3222002220122120122200
421122320220301333
5131203332344020
64351401442543
7505436540025
oct113270506177
928086576580
1010114731135
114320558233
121b634a0453
13c526bb112
146bd4aa715
153e2ec2590
hex25ae28c7f

10114731135 has 24 divisors (see below), whose sum is σ = 17687361744. Its totient is φ = 5346781440.

The previous prime is 10114731131. The next prime is 10114731167. The reversal of 10114731135 is 53113741101.

It is not a de Polignac number, because 10114731135 - 22 = 10114731131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10114731099 and 10114731108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10114731131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 989481 + ... + 999650.

It is an arithmetic number, because the mean of its divisors is an integer number (736973406).

Almost surely, 210114731135 is an apocalyptic number.

10114731135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10114731135 is a deficient number, since it is larger than the sum of its proper divisors (7572630609).

10114731135 is a wasteful number, since it uses less digits than its factorization.

10114731135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989255 (or 1989252 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 10114731135 in words is "ten billion, one hundred fourteen million, seven hundred thirty-one thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 45 113 339 565 1017 1695 5085 1989131 5967393 9945655 17902179 29836965 89510895 224771803 674315409 1123859015 2022946227 3371577045 10114731135