Search a number
-
+
113742277335 = 32513920278971
BaseRepresentation
bin110100111101110010…
…0010110101011010111
3101212120220011100210100
41221323210112223113
53330421010333320
6124130311425143
711134432256001
oct1517344265327
9355526140710
10113742277335
11442686064a5
121a0640851b3
13a958903aab
14571020b371
152e5a910790
hex1a7b916ad7

113742277335 has 48 divisors (see below), whose sum is σ = 198691758720. Its totient is φ = 60189704640.

The previous prime is 113742277307. The next prime is 113742277379. The reversal of 113742277335 is 533772247311.

113742277335 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 42 + 277 + 335 = 666.

It is not a de Polignac number, because 113742277335 - 28 = 113742277079 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12674400 + ... + 12683370.

It is an arithmetic number, because the mean of its divisors is an integer number (4139411640).

Almost surely, 2113742277335 is an apocalyptic number.

113742277335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

113742277335 is a deficient number, since it is larger than the sum of its proper divisors (84949481385).

113742277335 is a wasteful number, since it uses less digits than its factorization.

113742277335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11148 (or 11145 counting only the distinct ones).

The product of its digits is 740880, while the sum is 45.

The spelling of 113742277335 in words is "one hundred thirteen billion, seven hundred forty-two million, two hundred seventy-seven thousand, three hundred thirty-five".

Divisors: 1 3 5 9 15 45 139 417 695 1251 2027 2085 6081 6255 8971 10135 18243 26913 30405 44855 80739 91215 134565 281753 403695 845259 1246969 1408765 2535777 3740907 4226295 6234845 11222721 12678885 18184217 18704535 54552651 56113605 90921085 163657953 272763255 818289765 2527606163 7582818489 12638030815 22748455467 37914092445 113742277335