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1022112210222 = 23423544150417
BaseRepresentation
bin11101101111110101010…
…00101001110100101110
310121201020202110002110000
432313322220221310232
5113221241211211342
62101315111525130
7133562615303145
oct16677250516456
93551222402400
101022112210222
113645257727a4
121461133897a6
1375500447bbc
143768307675c
151b8c2b5c44c
hexedfaa29d2e

1022112210222 has 80 divisors (see below), whose sum is σ = 2390352874272. Its totient is φ = 325824491520.

The previous prime is 1022112210211. The next prime is 1022112210311. The reversal of 1022112210222 is 2220122112201.

It is a happy number.

1022112210222 is a `hidden beast` number, since 1 + 0 + 221 + 1 + 221 + 0 + 222 = 666.

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 = 1022112210195 and 1022112210204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20247958 + ... + 20298374.

Almost surely, 21022112210222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022112210222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195176437136).

1022112210222 is an abundant number, since it is smaller than the sum of its proper divisors (1368240664050).

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

1022112210222 is a wasteful number, since it uses less digits than its factorization.

1022112210222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55895 (or 55886 counting only the distinct ones).

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

Adding to 1022112210222 its reverse (2220122112201), we get a palindrome (3242234322423).

The spelling of 1022112210222 in words is "one trillion, twenty-two billion, one hundred twelve million, two hundred ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 414 621 1242 1863 3726 5441 10882 16323 32646 48969 50417 97938 100834 125143 146907 151251 250286 293814 302502 375429 440721 453753 750858 881442 907506 1126287 1159591 1361259 2252574 2319182 2722518 3378861 3478773 4083777 6757722 6957546 8167554 10136583 10436319 20273166 20872638 31308957 62617914 93926871 187853742 274318897 548637794 822956691 1645913382 2468870073 4937740146 6309334631 7406610219 12618669262 14813220438 18928003893 22219830657 37856007786 44439661314 56784011679 113568023358 170352035037 340704070074 511056105111 1022112210222