Search a number
-
+
12303412426116 = 2233783196076567
BaseRepresentation
bin1011001100001001110010…
…0001101111010110000100
31121120012020222002100011000
42303002130201233112010
53103034342040113431
642100035403213300
72406615013045140
oct263023441572604
947505228070130
1012303412426116
113a13936624379
121468597b17230
136b328c4a5236
143076ba004220
1516508ee8d9e6
hexb309c86f584

12303412426116 has 96 divisors (see below), whose sum is σ = 36893767034880. Its totient is φ = 3472908136992.

The previous prime is 12303412426111. The next prime is 12303412426147. The reversal of 12303412426116 is 61162421430321.

12303412426116 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 34 + 1 + 2 + 4 + 2 + 611 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12303412426111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97975536 + ... + 98101031.

It is an arithmetic number, because the mean of its divisors is an integer number (384310073280).

Almost surely, 212303412426116 is an apocalyptic number.

It is an amenable number.

12303412426116 is an abundant number, since it is smaller than the sum of its proper divisors (24590354608764).

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

12303412426116 is a wasteful number, since it uses less digits than its factorization.

12303412426116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196076670 (or 196076662 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 12303412426116 its reverse (61162421430321), we get a palindrome (73465833856437).

The spelling of 12303412426116 in words is "twelve trillion, three hundred three billion, four hundred twelve million, four hundred twenty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 83 84 108 126 166 189 249 252 332 378 498 581 747 756 996 1162 1494 1743 2241 2324 2988 3486 4482 5229 6972 8964 10458 15687 20916 31374 62748 196076567 392153134 588229701 784306268 1176459402 1372535969 1764689103 2352918804 2745071938 3529378206 4117607907 5294067309 5490143876 7058756412 8235215814 10588134618 12352823721 16274355061 16470431628 21176269236 24705647442 32548710122 37058471163 48823065183 49411294884 65097420244 74116942326 97646130366 113920485427 146469195549 148233884652 195292260732 227840970854 292938391098 341761456281 439407586647 455681941708 585876782196 683522912562 878815173294 1025284368843 1367045825124 1757630346588 2050568737686 3075853106529 4101137475372 6151706213058 12303412426116