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111200012313011 = 17431633532643779
BaseRepresentation
bin11001010010001011000101…
…001110111010000110110011
3112120201121200001102110100222
4121102023011032322012303
5104033400111123004021
61032300325212203255
732264635653054566
oct3122130516720663
9476647601373328
10111200012313011
1132482729a77226
121057b38316952b
134a081682aa76b
141d66175d524dd
15ccc87a5316ab
hex6522c53ba1b3

111200012313011 has 32 divisors (see below), whose sum is σ = 121561935010560. Its totient is φ = 101309911363584.

The previous prime is 111200012313001. The next prime is 111200012313043. The reversal of 111200012313011 is 110313210002111.

It is a cyclic number.

It is not a de Polignac number, because 111200012313011 - 222 = 111200008118707 is a prime.

It is a super-2 number, since 2×1112000123130112 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111200012313001) 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 31 ways as a sum of consecutive naturals, for example, 40739120 + ... + 43382898.

It is an arithmetic number, because the mean of its divisors is an integer number (3798810469080).

Almost surely, 2111200012313011 is an apocalyptic number.

111200012313011 is a deficient number, since it is larger than the sum of its proper divisors (10361922697549).

111200012313011 is a wasteful number, since it uses less digits than its factorization.

111200012313011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644355.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 111200012313011 its reverse (110313210002111), we get a palindrome (221513222315122).

The spelling of 111200012313011 in words is "one hundred eleven trillion, two hundred billion, twelve million, three hundred thirteen thousand, eleven".

Divisors: 1 17 43 163 353 731 2771 6001 7009 15179 57539 119153 258043 978163 2474177 2643779 42061009 44944243 113682497 430935977 933253987 1932602449 7325911609 15865317779 18530247011 40129921441 152120399881 315014199187 682208664497 2586046797977 6541177194883 111200012313011