Search a number
-
+
112130301020331 = 31161671575295473
BaseRepresentation
bin11001011111101101011110…
…110000101100100010101011
3112201000112220110202021222010
4121133231132300230202223
5104144120324030122311
61034251541003531003
732422101250441356
oct3137553660544253
9481015813667863
10112130301020331
1132801214771140
12106ab72ab29a63
134a74ac3ba4699
141d991c7c5729d
15ce6b76bb4da6
hex65fb5ec2c8ab

112130301020331 has 64 divisors (see below), whose sum is σ = 169318248224256. Its totient is φ = 65426615654400.

The previous prime is 112130301020273. The next prime is 112130301020347. The reversal of 112130301020331 is 133020103031211.

It is a happy number.

It is not a de Polignac number, because 112130301020331 - 213 = 112130301012139 is a prime.

It is a super-2 number, since 2×1121303010203312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112130301020298 and 112130301020307.

It is not an unprimeable number, because it can be changed into a prime (112130301020531) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18527011 + ... + 23822483.

It is an arithmetic number, because the mean of its divisors is an integer number (2645597628504).

Almost surely, 2112130301020331 is an apocalyptic number.

112130301020331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112130301020331 is a deficient number, since it is larger than the sum of its proper divisors (57187947203925).

112130301020331 is a wasteful number, since it uses less digits than its factorization.

112130301020331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5295772.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 112130301020331 its reverse (133020103031211), we get a palindrome (245150404051542).

The spelling of 112130301020331 in words is "one hundred twelve trillion, one hundred thirty billion, three hundred one million, twenty thousand, three hundred thirty-one".

Divisors: 1 3 11 33 61 67 157 183 201 471 671 737 1727 2013 2211 4087 5181 9577 10519 12261 28731 31557 44957 105347 115709 134871 316041 347127 641659 1924977 5295473 7058249 15886419 21174747 58250203 174750609 323023853 354796691 831389261 969071559 1064390073 2494167783 3553262383 3902763601 9145281871 10659787149 11708290803 21642598151 27435845613 50714744921 55703080487 64927794453 152144234763 167109241461 238068579661 557862194131 612733885357 714205738983 1673586582393 1838201656071 3397887909707 10193663729121 37376767006777 112130301020331