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21222112210112 = 2611163245975209
BaseRepresentation
bin1001101001101001010000…
…11101011010110011000000
32210010210222111012021110002
410310310220131122303000
510240200341211210422
6113045145340055132
74320150503301542
oct464645035326300
983123874167402
1021222112210112
11684227a0a0940
122468ba25344a8
13bac30ca4aa28
145352273b5692
1526c080e67692
hex134d2875acc0

21222112210112 has 112 divisors (see below), whose sum is σ = 46242308937600. Its totient is φ = 9583207925760.

The previous prime is 21222112210087. The next prime is 21222112210241. The reversal of 21222112210112 is 21101221122212.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282137564 + ... + 282212772.

Almost surely, 221222112210112 is an apocalyptic number.

21222112210112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21222112210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23121154468800).

21222112210112 is an abundant number, since it is smaller than the sum of its proper divisors (25020196727488).

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

21222112210112 is a wasteful number, since it uses less digits than its factorization.

21222112210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77854 (or 77844 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 21222112210112 its reverse (21101221122212), we get a palindrome (42323333332324).

The spelling of 21222112210112 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred twelve million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 163 176 326 352 652 704 1304 1793 2459 2608 3586 4918 5216 7172 9836 10432 14344 19672 27049 28688 39344 54098 57376 75209 78688 108196 114752 150418 157376 216392 300836 400817 432784 601672 801634 827299 865568 1203344 1603268 1654598 1731136 2406688 3206536 3309196 4408987 4813376 6413072 6618392 8817974 12259067 12826144 13236784 17635948 24518134 25652288 26473568 35271896 49036268 52947136 70543792 98072536 134849737 141087584 184938931 196145072 269699474 282175168 369877862 392290144 539398948 739755724 784580288 1078797896 1479511448 2034328241 2157595792 2959022896 4068656482 4315191584 5918045792 8137312964 8630383168 11836091584 16274625928 30145045753 32549251856 60290091506 65098503712 120580183012 130197007424 241160366024 331595503283 482320732048 663191006566 964641464096 1326382013132 1929282928192 2652764026264 5305528052528 10611056105056 21222112210112