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2112200122221 = 3271722310698273
BaseRepresentation
bin11110101111001000111…
…100000001111101101101
321110220221212011121122100
4132233020330001331231
5234101241212402341
64254155323005313
7305413200544020
oct36571074017555
97426855147570
102112200122221
117448629a4322
122a1437669839
13124244806437
1474333d431b7
1539e233183b6
hex1ebc8f01f6d

2112200122221 has 96 divisors (see below), whose sum is σ = 3712386263040. Its totient is φ = 1129684672512.

The previous prime is 2112200122211. The next prime is 2112200122223. The reversal of 2112200122221 is 1222210022112.

It is a happy number.

2112200122221 is a `hidden beast` number, since 211 + 220 + 0 + 12 + 2 + 221 = 666.

It is not a de Polignac number, because 2112200122221 - 210 = 2112200121197 is a prime.

It is a super-2 number, since 2×21122001222212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112200122194 and 2112200122203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112200122223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 255308341 + ... + 255316613.

It is an arithmetic number, because the mean of its divisors is an integer number (38670690240).

Almost surely, 22112200122221 is an apocalyptic number.

2112200122221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2112200122221 is a deficient number, since it is larger than the sum of its proper divisors (1600186140819).

2112200122221 is a wasteful number, since it uses less digits than its factorization.

2112200122221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9595 (or 9592 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2112200122221 its reverse (1222210022112), we get a palindrome (3334410144333).

The spelling of 2112200122221 in words is "two trillion, one hundred twelve billion, two hundred million, one hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 7 9 17 21 51 63 119 153 223 357 669 1069 1071 1561 2007 3207 3791 4683 7483 8273 9621 11373 14049 18173 22449 24819 26537 34119 54519 57911 67347 74457 79611 127211 140641 163557 173733 238387 238833 381633 421923 521199 715161 984487 1144899 1265769 1668709 1844879 2145483 2953461 4052579 5006127 5534637 8843837 8860383 12157737 12914153 15018381 16603911 26531511 28368053 31362943 36473211 38742459 61906859 79594533 85104159 94088829 116227377 150345229 185720577 219540601 255312477 282266487 451035687 557161731 658621803 1052416603 1353107061 1972175651 1975865409 3157249809 5916526953 9471749427 13805229557 17749580859 33526986067 41415688671 100580958201 124247066013 234688902469 301742874603 704066707407 2112200122221