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112202202101022 = 232116473709236143
BaseRepresentation
bin11001100000110000011100…
…011001100011010100011110
3112201021102111101022122021200
4121200300130121203110132
5104201310102214213042
61034344551405340330
732430225110521335
oct3140603431432436
9481242441278250
10112202202101022
1132829760a87280
12107016565676a6
134a7b812140747
141d9c889138d1c
15ce8984148c4c
hex660c1c66351e

112202202101022 has 96 divisors (see below), whose sum is σ = 265687843599360. Its totient is φ = 33938819415360.

The previous prime is 112202202101021. The next prime is 112202202101027. The reversal of 112202202101022 is 220101202202211.

It is a happy number.

112202202101022 is a `hidden beast` number, since 1 + 1 + 220 + 220 + 210 + 10 + 2 + 2 = 666.

It is a super-2 number, since 2×1122022021010222 (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 a junction number, because it is equal to n+sod(n) for n = 112202202100986 and 112202202101004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112202202101021) 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, 475027083 + ... + 475263225.

It is an arithmetic number, because the mean of its divisors is an integer number (2767581704160).

Almost surely, 2112202202101022 is an apocalyptic number.

112202202101022 is an abundant number, since it is smaller than the sum of its proper divisors (153485641498338).

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

112202202101022 is a wasteful number, since it uses less digits than its factorization.

112202202101022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240518 (or 240515 counting only the distinct ones).

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

Adding to 112202202101022 its reverse (220101202202211), we get a palindrome (332303404303233).

The spelling of 112202202101022 in words is "one hundred twelve trillion, two hundred two billion, two hundred two million, one hundred one thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 647 1294 1941 3709 3882 5823 7117 7418 11127 11646 14234 21351 22254 33381 40799 42702 64053 66762 81598 122397 128106 236143 244794 367191 472286 708429 734382 1416858 2125287 2399723 2597573 4250574 4799446 5195146 7199169 7792719 14398338 15585438 21597507 23378157 26396953 43195014 46756314 52793906 79190859 152784521 158381718 237572577 305569042 458353563 475145154 875854387 916707126 1375060689 1680629731 1751708774 2627563161 2750121378 3361259462 5041889193 5255126322 7882689483 9634398257 10083778386 15125667579 15765378966 19268796514 28903194771 30251335158 57806389542 86709584313 173419168626 566677788389 1133355576778 1700033365167 3400066730334 5100100095501 6233455672279 10200200191002 12466911344558 18700367016837 37400734033674 56101101050511 112202202101022