Search a number
-
+
113103203301 = 32118930741813
BaseRepresentation
bin110100101010101111…
…0011110101111100101
3101210221100122001000200
41221111132132233211
53323113410001201
6123543042101113
711112542236254
oct1512536365745
9353840561020
10113103203301
1143a6a89a740
1219b0604a799
13a8863a6c8a
14568d3b279b
152e1e775386
hex1a5579ebe5

113103203301 has 48 divisors (see below), whose sum is σ = 180817116480. Its totient is φ = 67554812160.

The previous prime is 113103203267. The next prime is 113103203327. The reversal of 113103203301 is 103302301311.

It is a happy number.

113103203301 is a `hidden beast` number, since 1 + 1 + 3 + 10 + 320 + 330 + 1 = 666.

It is not a de Polignac number, because 113103203301 - 233 = 104513268709 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113103203341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2684071 + ... + 2725883.

It is an arithmetic number, because the mean of its divisors is an integer number (3767023260).

Almost surely, 2113103203301 is an apocalyptic number.

113103203301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

113103203301 is a deficient number, since it is larger than the sum of its proper divisors (67713913179).

113103203301 is a wasteful number, since it uses less digits than its factorization.

113103203301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42226 (or 42223 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 113103203301 its reverse (103302301311), we get a palindrome (216405504612).

The spelling of 113103203301 in words is "one hundred thirteen billion, one hundred three million, two hundred three thousand, three hundred one".

Divisors: 1 3 9 11 33 89 99 267 307 801 921 979 2763 2937 3377 8811 10131 27323 30393 41813 81969 125439 245907 300553 376317 459943 901659 1379829 2704977 3721357 4139487 11164071 12836591 33492213 38509773 40934927 115529319 122804781 141202501 368414343 423607503 1142456599 1270822509 3427369797 10282109391 12567022589 37701067767 113103203301