Search a number
-
+
113204023335 = 34513102121059
BaseRepresentation
bin110100101101101111…
…1000101000000100111
3101211012101100020010000
41221123133011000213
53323320212221320
6124001043032343
711115205215234
oct1513337050047
9354171306100
10113204023335
11440117a1287
1219b3396b6b3
13a8a1246ac0
14569c93878b
152e2853cc90
hex1a5b7c5027

113204023335 has 80 divisors (see below), whose sum is σ = 218763024480. Its totient is φ = 55673982720.

The previous prime is 113204023249. The next prime is 113204023337. The reversal of 113204023335 is 533320402311.

113204023335 is a `hidden beast` number, since 1 + 1 + 320 + 4 + 0 + 2 + 3 + 335 = 666.

It is not a de Polignac number, because 113204023335 - 215 = 113203990567 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 113204023299 and 113204023308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113204023337) 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 79 ways as a sum of consecutive naturals, for example, 5365036 + ... + 5386094.

It is an arithmetic number, because the mean of its divisors is an integer number (2734537806).

Almost surely, 2113204023335 is an apocalyptic number.

113204023335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

113204023335 is a deficient number, since it is larger than the sum of its proper divisors (105559001145).

113204023335 is a wasteful number, since it uses less digits than its factorization.

113204023335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22110 (or 22101 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 113204023335 its reverse (533320402311), we get a palindrome (646524425646).

The spelling of 113204023335 in words is "one hundred thirteen billion, two hundred four million, twenty-three thousand, three hundred thirty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 351 405 585 1021 1053 1755 3063 5105 5265 9189 13273 15315 21059 27567 39819 45945 63177 66365 82701 105295 119457 137835 189531 199095 273767 315885 358371 413505 568593 597285 821301 947655 1075113 1368835 1705779 1791855 2463903 2842965 4106505 5375565 7391709 8528895 12319515 21501239 22175127 36958545 64503717 107506195 110875635 193511151 279516107 322518585 580533453 838548321 967555755 1397580535 1741600359 2515644963 2902667265 4192741605 7546934889 8708001795 12578224815 22640804667 37734674445 113204023335