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21122213310 = 23251137576637
BaseRepresentation
bin10011101010111110…
…110110010110111110
32000112001011121111200
4103222332312112332
5321224241311220
613411534200330
71345266564552
oct235276662676
960461147450
1021122213310
118a59a36540
1241159530a6
131cb8035293
141045367862
1583953d890
hex4eafb65be

21122213310 has 96 divisors (see below), whose sum is σ = 61529581152. Its totient is φ = 4982135040.

The previous prime is 21122213297. The next prime is 21122213317. The reversal of 21122213310 is 1331222112.

21122213310 is a `hidden beast` number, since 2 + 112 + 221 + 331 + 0 = 666.

It is a super-2 number, since 2×211222133102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122213317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251689 + ... + 324948.

It is an arithmetic number, because the mean of its divisors is an integer number (640933137).

Almost surely, 221122213310 is an apocalyptic number.

21122213310 is an abundant number, since it is smaller than the sum of its proper divisors (40407367842).

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

21122213310 is a wasteful number, since it uses less digits than its factorization.

21122213310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576698 (or 576695 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21122213310 its reverse (1331222112), we get a palindrome (22453435422).

It can be divided in two parts, 21122 and 213310, that added together give a palindrome (234432).

The spelling of 21122213310 in words is "twenty-one billion, one hundred twenty-two million, two hundred thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 37 45 55 66 74 90 99 110 111 165 185 198 222 330 333 370 407 495 555 666 814 990 1110 1221 1665 2035 2442 3330 3663 4070 6105 7326 12210 18315 36630 576637 1153274 1729911 2883185 3459822 5189733 5766370 6343007 8649555 10379466 12686014 17299110 19029021 21335569 25948665 31715035 38058042 42671138 51897330 57087063 63430070 64006707 95145105 106677845 114174126 128013414 190290210 192020121 213355690 234691259 285435315 320033535 384040242 469382518 570870630 640067070 704073777 960100605 1173456295 1408147554 1920201210 2112221331 2346912590 3520368885 4224442662 7040737770 10561106655 21122213310