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112210212202002 = 232298313033198719
BaseRepresentation
bin11001100000110111111001…
…110101101010011000010010
3112201022012011121201221010100
4121200313321311222120102
5104201423003310431002
61034352354305513230
732430630443331405
oct3140677165523022
9481265147657110
10112210212202002
11328320a1523742
1210703111042816
134a7c4ba7ac375
141d9d008cb1d3c
15ce8ca248c11c
hex660df9d6a612

112210212202002 has 96 divisors (see below), whose sum is σ = 254556647654400. Its totient is φ = 35675610437376.

The previous prime is 112210212202001. The next prime is 112210212202007. The reversal of 112210212202002 is 200202212012211.

It is a happy number.

112210212202002 is a `hidden beast` number, since 1 + 1 + 221 + 0 + 21 + 220 + 200 + 2 = 666.

It is a super-2 number, since 2×1122102122020022 (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (112210212202001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 564568399 + ... + 564767117.

It is an arithmetic number, because the mean of its divisors is an integer number (2651631746400).

Almost surely, 2112210212202002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112210212202002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127278323827200).

112210212202002 is an abundant number, since it is smaller than the sum of its proper divisors (142346435452398).

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

112210212202002 is a wasteful number, since it uses less digits than its factorization.

112210212202002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211872 (or 211869 counting only the distinct ones).

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

Adding to 112210212202002 its reverse (200202212012211), we get a palindrome (312412424214213).

The spelling of 112210212202002 in words is "one hundred twelve trillion, two hundred ten billion, two hundred twelve million, two hundred two thousand, two".

Divisors: 1 2 3 6 9 18 29 58 83 87 166 174 249 261 498 522 747 1494 2407 4814 7221 13033 14442 21663 26066 39099 43326 78198 117297 198719 234594 377957 397438 596157 755914 1081739 1133871 1192314 1788471 2163478 2267742 3245217 3401613 3576942 5762851 6490434 6803226 9735651 11525702 16493677 17288553 19471302 31370431 32987354 34577106 49481031 51865659 62740862 94111293 98962062 103731318 148443093 188222586 282333879 296886186 478316633 564667758 956633266 1434949899 2589904727 2869899798 4304849697 5179809454 7769714181 8609699394 15539428362 23309142543 46618285086 75107237083 150214474166 214962092341 225321711249 429924184682 450643422498 644886277023 675965133747 1289772554046 1351930267494 1934658831069 3869317662138 6233900677889 12467801355778 18701702033667 37403404067334 56105106101001 112210212202002