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101111111112222 = 2321710114812209027
BaseRepresentation
bin10110111111010111000011…
…110111000101011000011110
3111021000010110011220021120100
4112333113003313011120132
5101223101023421042342
6555013445254001530
730204015406566051
oct2677270367053036
9437003404807510
10101111111112222
112a242a88297242
12b4100166462a6
134455976b80223
141ad7b37c30a98
15ba51ea95be4c
hex5bf5c3dc561e

101111111112222 has 96 divisors (see below), whose sum is σ = 234415707031584. Its totient is φ = 31385841408000.

The previous prime is 101111111112199. The next prime is 101111111112283. The reversal of 101111111112222 is 222211111111101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101111111112195 and 101111111112204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44667273 + ... + 46876299.

It is an arithmetic number, because the mean of its divisors is an integer number (2441830281579).

Almost surely, 2101111111112222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101111111112222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117207853515792).

101111111112222 is an abundant number, since it is smaller than the sum of its proper divisors (133304595919362).

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

101111111112222 is a wasteful number, since it uses less digits than its factorization.

101111111112222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2210634 (or 2210631 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 101111111112222 its reverse (222211111111101), we get a palindrome (323322222223323).

The spelling of 101111111112222 in words is "one hundred one trillion, one hundred eleven billion, one hundred eleven million, one hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 101 102 153 202 303 306 606 909 1481 1717 1818 2962 3434 4443 5151 8886 10302 13329 15453 25177 26658 30906 50354 75531 149581 151062 226593 299162 448743 453186 897486 1346229 2209027 2542877 2692458 4418054 5085754 6627081 7628631 13254162 15257262 19881243 22885893 37553459 39762486 45771786 75106918 112660377 223111727 225320754 337981131 446223454 669335181 675962262 1338670362 2008005543 3271568987 3792899359 4016011086 6543137974 7585798718 9814706961 11378698077 19629413922 22757396154 29444120883 34136094231 55616672779 58888241766 68272188462 111233345558 166850018337 330428467687 333700036674 500550055011 660856935374 991285403061 1001100110022 1982570806122 2973856209183 5617283950679 5947712418366 11234567901358 16851851852037 33703703704074 50555555556111 101111111112222