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21212010312 = 23337151115809
BaseRepresentation
bin10011110000010101…
…011001011101001000
32000202022010202211120
4103300111121131020
5321420233312222
613424502555240
71350440053443
oct236025313510
960668122746
1021212010312
118aa5699339
12413ba38b20
1320008159bc
14105326065a
1584237a15c
hex4f0559748

21212010312 has 64 divisors (see below), whose sum is σ = 54502761600. Its totient is φ = 6874583040.

The previous prime is 21212010311. The next prime is 21212010317. The reversal of 21212010312 is 21301021212.

It is a junction number, because it is equal to n+sod(n) for n = 21212010291 and 21212010300.

It is not an unprimeable number, because it can be changed into a prime (21212010311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1333864 + ... + 1349672.

It is an arithmetic number, because the mean of its divisors is an integer number (851605650).

Almost surely, 221212010312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21212010312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27251380800).

21212010312 is an abundant number, since it is smaller than the sum of its proper divisors (33290751288).

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

21212010312 is a wasteful number, since it uses less digits than its factorization.

21212010312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17366 (or 17362 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 21212010312 its reverse (21301021212), we get a palindrome (42513031524).

The spelling of 21212010312 in words is "twenty-one billion, two hundred twelve million, ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 1511 3022 4533 6044 9066 12088 15809 18132 31618 36264 47427 55907 63236 94854 111814 126472 167721 189708 223628 335442 379416 447256 584933 670884 1169866 1341768 1754799 2339732 3509598 4679464 7019196 14038392 23887399 47774798 71662197 95549596 143324394 191099192 286648788 573297576 883833763 1767667526 2651501289 3535335052 5303002578 7070670104 10606005156 21212010312