Search a number
-
+
111022001220222 = 232231272239468913
BaseRepresentation
bin11001001111100101010010…
…111100011110101001111110
3112120002121012011010222220100
4121033211102330132221332
5104022441024303021342
61032042445300501530
732246034454536021
oct3117452274365176
9476077164128810
10111022001220222
1132414191395514
12105509836aa8a6
1349c44397284b1
141d5b6ca3651b8
15cc7e0c748e4c
hex64f952f1ea7e

111022001220222 has 96 divisors (see below), whose sum is σ = 254117169266688. Its totient is φ = 34962101653248.

The previous prime is 111022001220197. The next prime is 111022001220269. The reversal of 111022001220222 is 222022100220111.

It is a happy number.

111022001220222 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 220 + 0 + 1 + 220 + 222 = 666.

111022001220222 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1110220012202223 (a number of 43 digits) contains 333 as substring.

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 = 111022001220195 and 111022001220204.

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, 6990438 + ... + 16459350.

It is an arithmetic number, because the mean of its divisors is an integer number (2647053846528).

Almost surely, 2111022001220222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111022001220222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127058584633344).

111022001220222 is an abundant number, since it is smaller than the sum of its proper divisors (143095168046466).

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

111022001220222 is a wasteful number, since it uses less digits than its factorization.

111022001220222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9469294 (or 9469291 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 111022001220222 its reverse (222022100220111), we get a palindrome (333044101440333).

The spelling of 111022001220222 in words is "one hundred eleven trillion, twenty-two billion, one million, two hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 46 69 127 138 207 223 254 381 414 446 669 762 1143 1338 2007 2286 2921 4014 5129 5842 8763 10258 15387 17526 26289 28321 30774 46161 52578 56642 84963 92322 169926 254889 509778 651383 1302766 1954149 3908298 5862447 9468913 11724894 18937826 28406739 56813478 85220217 170440434 217784999 435569998 653354997 1202551951 1306709994 1960064991 2111567599 2405103902 3607655853 3920129982 4223135198 6334702797 7215311706 10822967559 12669405594 19004108391 21645935118 27658694873 38008216782 48566054777 55317389746 82976084619 97132109554 145698164331 165952169238 248928253857 268169085073 291396328662 437094492993 497856507714 536338170146 804507255219 874188985986 1609014510438 2413521765657 4827043531314 6167888956679 12335777913358 18503666870037 37007333740074 55511000610111 111022001220222