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111120222100211 = 23291131672988129
BaseRepresentation
bin11001010001000000110001…
…010111011001101011110011
3112120102222201100001200022022
4121101000301113121223303
5104031043203324201321
61032155531511102055
732256112456332512
oct3121006127315363
9476388640050268
10111120222100211
11324519045283a5
1210567a1567192b
134a007907789ac
141d62366dc6679
15cca75a6a1dab
hex6510315d9af3

111120222100211 has 32 divisors (see below), whose sum is σ = 121019974992000. Its totient is φ = 101708364054528.

The previous prime is 111120222100193. The next prime is 111120222100213. The reversal of 111120222100211 is 112001222021111.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-111120222100211 is a prime.

It is a super-2 number, since 2×1111202221002112 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 111120222100211.

It is not an unprimeable number, because it can be changed into a prime (111120222100213) 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, 1260837395 + ... + 1260925523.

It is an arithmetic number, because the mean of its divisors is an integer number (3781874218500).

Almost surely, 2111120222100211 is an apocalyptic number.

111120222100211 is a deficient number, since it is larger than the sum of its proper divisors (9899752891789).

111120222100211 is a wasteful number, since it uses less digits than its factorization.

111120222100211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105023.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 111120222100211 its reverse (112001222021111), we get a palindrome (223121444121322).

The spelling of 111120222100211 in words is "one hundred eleven trillion, one hundred twenty billion, two hundred twenty-two million, one hundred thousand, two hundred eleven".

Divisors: 1 23 29 113 667 2599 3277 16729 75371 88129 384767 485141 1890377 2026967 2555741 9958577 11158243 43478671 54820933 58782043 229047271 288798733 1260881459 1474310041 6642370859 33909130943 42754991189 166597034633 983364797347 3831731796559 4831314004357 111120222100211