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211011220123312 = 2473172261739197
BaseRepresentation
bin101111111110100111100000…
…110100011010111010110000
31000200010110211201221001112111
4233332213200310122322300
5210124201434322421222
62024441114415135104
762306025513133000
oct5776474064327260
91020113751831474
10211011220123312
11612643a0787a44
121b7bb47a814494
1390983710bc14b
143a16dd73aa000
15195dd457b9777
hexbfe9e0d1aeb0

211011220123312 has 80 divisors (see below), whose sum is σ = 504820188993600. Its totient is φ = 85113769423872.

The previous prime is 211011220123309. The next prime is 211011220123369. The reversal of 211011220123312 is 213321022110112.

It is a happy number.

It is a super-2 number, since 2×2110112201233122 (a number of 29 digits) contains 22 as substring.

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, 1130776303 + ... + 1130962894.

It is an arithmetic number, because the mean of its divisors is an integer number (6310252362420).

Almost surely, 2211011220123312 is an apocalyptic number.

It is an amenable number.

211011220123312 is an abundant number, since it is smaller than the sum of its proper divisors (293808968870288).

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

211011220123312 is a wasteful number, since it uses less digits than its factorization.

211011220123312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261739243 (or 2261739223 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 211011220123312 its reverse (213321022110112), we get a palindrome (424332242233424).

The spelling of 211011220123312 in words is "two hundred eleven trillion, eleven billion, two hundred twenty million, one hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 98 112 119 136 196 238 272 343 392 476 686 784 833 952 1372 1666 1904 2744 3332 5488 5831 6664 11662 13328 23324 46648 93296 2261739197 4523478394 9046956788 15832174379 18093913576 31664348758 36187827152 38449566349 63328697516 76899132698 110825220653 126657395032 153798265396 221650441306 253314790064 269146964443 307596530792 443300882612 538293928886 615193061584 775776544571 886601765224 1076587857772 1551553089142 1773203530448 1884028751101 2153175715544 3103106178284 3768057502202 4306351431088 6206212356568 7536115004404 12412424713136 13188201257707 15072230008808 26376402515414 30144460017616 52752805030828 105505610061656 211011220123312