Search a number
-
+
13823378032981 = 1121751659130087
BaseRepresentation
bin1100100100101000000110…
…0010011000100101010101
31210221111112222112101121111
43021022001202120211111
53302440234234023411
645222212221215021
72624464123404106
oct311120142304525
953844488471544
1013823378032981
11444a509585700
121673091401471
137937011139aa
1435b0ab1623ad
1518e8a005d721
hexc9281898955

13823378032981 has 24 divisors (see below), whose sum is σ = 16088508515520. Its totient is φ = 11827169354880.

The previous prime is 13823378032901. The next prime is 13823378033041. The reversal of 13823378032981 is 18923087332831.

It is a happy number.

It is not a de Polignac number, because 13823378032981 - 225 = 13823344478549 is a prime.

It is a super-2 number, since 2×138233780329812 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13823378032901) 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 23 ways as a sum of consecutive naturals, for example, 106197520 + ... + 106327606.

It is an arithmetic number, because the mean of its divisors is an integer number (670354521480).

Almost surely, 213823378032981 is an apocalyptic number.

13823378032981 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13823378032981 is a deficient number, since it is larger than the sum of its proper divisors (2265130482539).

13823378032981 is a wasteful number, since it uses less digits than its factorization.

13823378032981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181785 (or 181774 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 58.

The spelling of 13823378032981 in words is "thirteen trillion, eight hundred twenty-three billion, three hundred seventy-eight million, thirty-two thousand, nine hundred eighty-one".

Divisors: 1 11 17 121 187 2057 51659 130087 568249 878203 1430957 2211479 6250739 9660233 15740527 24326269 106262563 267588959 6720164333 73921807663 114242793661 813139884293 1256670730271 13823378032981