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21002211222112 = 2517675411065109
BaseRepresentation
bin1001100011001111101010…
…10101101110001001100000
32202100210101012200122122001
410301213311111232021200
510223100012033101422
6112400141014453344
74265234241606421
oct461476525561140
982323335618561
1021002211222112
116767a9578791a
122432452064254
13b9466670cb13
14528726223648
152664b07d4227
hex1319f556e260

21002211222112 has 96 divisors (see below), whose sum is σ = 44515957177440. Its totient is φ = 9717874974720.

The previous prime is 21002211222107. The next prime is 21002211222121. The reversal of 21002211222112 is 21122211220012.

It is a self number, because there is not a number n which added to its sum of digits gives 21002211222112.

It is a congruent number.

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, 19185814 + ... + 20250922.

It is an arithmetic number, because the mean of its divisors is an integer number (463707887265).

Almost surely, 221002211222112 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 21002211222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22257978588720).

21002211222112 is an abundant number, since it is smaller than the sum of its proper divisors (23513745955328).

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

21002211222112 is a wasteful number, since it uses less digits than its factorization.

21002211222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065744 (or 1065736 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 21002211222112 its reverse (21122211220012), we get a palindrome (42124422442124).

The spelling of 21002211222112 in words is "twenty-one trillion, two billion, two hundred eleven million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 67 68 134 136 268 272 536 541 544 1072 1082 1139 2144 2164 2278 4328 4556 8656 9112 9197 17312 18224 18394 36247 36448 36788 72494 73576 144988 147152 289976 294304 579952 616199 1065109 1159904 1232398 2130218 2464796 4260436 4929592 8520872 9859184 17041744 18106853 19718368 34083488 36213706 71362303 72427412 142724606 144854824 285449212 289709648 570898424 576223969 579419296 1141796848 1152447938 1213159151 2283593696 2304895876 2426318302 4609791752 4852636604 9219583504 9705273208 9795807473 18439167008 19410546416 19591614946 38607005923 38821092832 39183229892 77214011846 78366459784 154428023692 156732919568 308856047384 313465839136 617712094768 656319100691 1235424189536 1312638201382 2625276402764 5250552805528 10501105611056 21002211222112