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21212102322 = 23219475922367
BaseRepresentation
bin10011110000010101…
…101111111010110010
32000202022022110001100
4103300111233322302
5321420244233242
613424504545230
71350440615625
oct236025577262
960668273040
1021212102322
118aa5751484
12413ba82216
132000848848
141053285dbc
1584239754c
hex4f056feb2

21212102322 has 96 divisors (see below), whose sum is σ = 50247475200. Its totient is φ = 6444628704.

The previous prime is 21212102297. The next prime is 21212102339. The reversal of 21212102322 is 22320121212.

It is a super-3 number, since 3×212121023223 (a number of 32 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 = 21212102295 and 21212102304.

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, 937183 + ... + 959549.

It is an arithmetic number, because the mean of its divisors is an integer number (523411200).

Almost surely, 221212102322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21212102322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25123737600).

21212102322 is an abundant number, since it is smaller than the sum of its proper divisors (29035372878).

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

21212102322 is a wasteful number, since it uses less digits than its factorization.

21212102322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22500 (or 22497 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21212102322 its reverse (22320121212), we get a palindrome (43532223534).

The spelling of 21212102322 in words is "twenty-one billion, two hundred twelve million, one hundred two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 38 47 57 59 94 114 118 141 171 177 282 342 354 423 531 846 893 1062 1121 1786 2242 2679 2773 3363 5358 5546 6726 8037 8319 10089 16074 16638 20178 22367 24957 44734 49914 52687 67101 105374 134202 158061 201303 316122 402606 424973 474183 849946 948366 1051249 1274919 1319653 2102498 2549838 2639306 3153747 3824757 3958959 6307494 7649514 7917918 9461241 11876877 18922482 19973731 23753754 25073407 39947462 50146814 59921193 62023691 75220221 119842386 124047382 150440442 179763579 186071073 225660663 359527158 372142146 451321326 558213219 1116426438 1178450129 2356900258 3535350387 7070700774 10606051161 21212102322