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112111212201021 = 32114143673395401
BaseRepresentation
bin11001011111011011101100…
…111110101000010000111101
3112200221201122010202210122100
4121133123230332220100331
5104143312230310413041
61034235102504135313
732420524231241055
oct3137335476502075
9480851563683570
10112111212201021
11327a4109610710
12106a7aa2167539
134a73071209527
141d982d699c565
15ce640ae336b6
hex65f6ecfa843d

112111212201021 has 96 divisors (see below), whose sum is σ = 185206897459584. Its totient is φ = 64737066240000.

The previous prime is 112111212201011. The next prime is 112111212201041. The reversal of 112111212201021 is 120102212111211.

It is a happy number.

112111212201021 is a `hidden beast` number, since 11 + 211 + 121 + 220 + 102 + 1 = 666.

It is not a de Polignac number, because 112111212201021 - 27 = 112111212200893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112111212200985 and 112111212201003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112111212201011) 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, 1175109921 + ... + 1175205321.

It is an arithmetic number, because the mean of its divisors is an integer number (1929238515204).

Almost surely, 2112111212201021 is an apocalyptic number.

112111212201021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112111212201021 is a deficient number, since it is larger than the sum of its proper divisors (73095685258563).

112111212201021 is a wasteful number, since it uses less digits than its factorization.

112111212201021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102235 (or 102232 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112111212201021 its reverse (120102212111211), we get a palindrome (232213424312232).

The spelling of 112111212201021 in words is "one hundred twelve trillion, one hundred eleven billion, two hundred twelve million, two hundred one thousand, twenty-one".

Divisors: 1 3 9 11 33 41 43 99 123 129 369 387 451 473 1353 1419 1763 4059 4257 5289 6733 15867 19393 20199 58179 60597 74063 95401 174537 222189 276053 286203 289519 666567 828159 858609 868557 1049411 2484477 2605671 3036583 3148233 3184709 3911441 4102243 9109749 9444699 9554127 11734323 11870279 12306729 27329247 28662381 35202969 35610837 36920187 43025851 45124673 106832511 129077553 130573069 135374019 168191963 387232659 391719207 406122057 504575889 642334933 1175157621 1513727667 1850111593 1927004799 5550334779 5781014397 7065684263 16651004337 21197052789 26335732253 27620402119 63591158367 79007196759 82861206357 237021590277 248583619071 289693054783 303824423309 869079164349 911473269927 1132436486879 2607237493047 2734419809781 3397309460637 10191928381911 12456801355669 37370404067007 112111212201021