Search a number
-
+
1131300313182 = 2321317284389219
BaseRepresentation
bin10000011101100110110…
…000001101100001011110
311000011002021010102110100
4100131212300031201132
5122013400340010212
62223413455521530
7144506450666634
oct20354660154136
94004067112410
101131300313182
113a6866596616
121633062292a6
13828b1687a50
143ca804b5354
151e66382cbdc
hex10766c0d85e

1131300313182 has 48 divisors (see below), whose sum is σ = 2794977254160. Its totient is φ = 327616379136.

The previous prime is 1131300313181. The next prime is 1131300313201. The reversal of 1131300313182 is 2813130031311.

It is a happy number.

1131300313182 is a `hidden beast` number, since 1 + 1 + 31 + 300 + 313 + 18 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131300313181) 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, 142190632 + ... + 142198587.

It is an arithmetic number, because the mean of its divisors is an integer number (58228692795).

Almost surely, 21131300313182 is an apocalyptic number.

1131300313182 is an abundant number, since it is smaller than the sum of its proper divisors (1663676940978).

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

1131300313182 is a wasteful number, since it uses less digits than its factorization.

1131300313182 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284389257 (or 284389254 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 1131300313182 its reverse (2813130031311), we get a palindrome (3944430344493).

The spelling of 1131300313182 in words is "one trillion, one hundred thirty-one billion, three hundred million, three hundred thirteen thousand, one hundred eighty-two".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1326 1989 3978 284389219 568778438 853167657 1706335314 2559502971 3697059847 4834616723 5119005942 7394119694 9669233446 11091179541 14503850169 22182359082 29007700338 33273538623 43511550507 62850017399 66547077246 87023101014 125700034798 188550052197 377100104394 565650156591 1131300313182