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10011102222 = 23112172335267
BaseRepresentation
bin10010101001011010…
…10100110000001110
3221211200122200111210
421110231110300032
5131000320232342
64333220355250
7503040651642
oct112455246016
927750580453
1010011102222
114278008300
121b34845b26
13c370a6934
146ad812c22
153d8d5279c
hex254b54c0e

10011102222 has 96 divisors (see below), whose sum is σ = 24316298496. Its totient is φ = 2730999040.

The previous prime is 10011102203. The next prime is 10011102253. The reversal of 10011102222 is 22220111001.

It is a junction number, because it is equal to n+sod(n) for n = 10011102198 and 10011102207.

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, 266233 + ... + 301499.

It is an arithmetic number, because the mean of its divisors is an integer number (253294776).

Almost surely, 210011102222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011102222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12158149248).

10011102222 is an abundant number, since it is smaller than the sum of its proper divisors (14305196274).

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

10011102222 is a wasteful number, since it uses less digits than its factorization.

10011102222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35334 (or 35323 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10011102222 its reverse (22220111001), we get a palindrome (32231213223).

The spelling of 10011102222 in words is "ten billion, eleven million, one hundred two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 17 22 23 33 34 46 51 66 69 102 121 138 187 242 253 363 374 391 506 561 726 759 782 1122 1173 1518 2057 2346 2783 4114 4301 5566 6171 8349 8602 12342 12903 16698 25806 35267 47311 70534 94622 105801 141933 211602 283866 387937 599539 775874 811141 1163811 1199078 1622282 1798617 2327622 2433423 3597234 4267307 4866846 6594929 8534614 8922551 12801921 13189858 13789397 17845102 19784787 25603842 26767653 27578794 39569574 41368191 53535306 72544219 82736382 98148061 145088438 151683367 196296122 217632657 294444183 303366734 435265314 455050101 588888366 910100202 1668517037 3337034074 5005551111 10011102222