Search a number
-
+
100113331230 = 232511101124577
BaseRepresentation
bin101110100111100111…
…0000011010000011110
3100120102001220011110200
41131033032003100132
53120013003044410
6113554052044330
710142621163153
oct1351716032036
9316361804420
10100113331230
1139504402580
121749b9036a6
139596140143
144bba12222a
15290e1743c0
hex174f38341e

100113331230 has 48 divisors (see below), whose sum is σ = 283957815024. Its totient is φ = 24269898240.

The previous prime is 100113331183. The next prime is 100113331237. The reversal of 100113331230 is 32133311001.

It is a happy number.

100113331230 is a `hidden beast` number, since 100 + 1 + 1 + 3 + 331 + 230 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100113331237) 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, 50561299 + ... + 50563278.

It is an arithmetic number, because the mean of its divisors is an integer number (5915787813).

Almost surely, 2100113331230 is an apocalyptic number.

100113331230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100113331230 is an abundant number, since it is smaller than the sum of its proper divisors (183844483794).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100113331230 is a wasteful number, since it uses less digits than its factorization.

100113331230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101124601 (or 101124598 counting only the distinct ones).

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

Adding to 100113331230 its reverse (32133311001), we get a palindrome (132246642231).

The spelling of 100113331230 in words is "one hundred billion, one hundred thirteen million, three hundred thirty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 101124577 202249154 303373731 505622885 606747462 910121193 1011245770 1112370347 1516868655 1820242386 2224740694 3033737310 3337111041 4550605965 5561851735 6674222082 9101211930 10011333123 11123703470 16685555205 20022666246 33371110410 50056665615 100113331230