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212302113033231 = 3413201616441627
BaseRepresentation
bin110000010001011001110000…
…000010000100110000001111
31000211200212212021200101210000
4300101121300002010300033
5210311324211414030411
62031310124434215343
762501215162621344
oct6021316002046017
91024625767611700
10212302113033231
1161711903114601
121b9896a4124553
1391600074ac590
143a5d6972247cb
1519826e9e0c956
hexc11670084c0f

212302113033231 has 20 divisors (see below), whose sum is σ = 341538252117832. Its totient is φ = 130647454173648.

The previous prime is 212302113033229. The next prime is 212302113033259. The reversal of 212302113033231 is 132330311203212.

212302113033231 is a `hidden beast` number, since 2 + 1 + 2 + 30 + 2 + 1 + 1 + 303 + 323 + 1 = 666.

It is not a de Polignac number, because 212302113033231 - 21 = 212302113033229 is a prime.

It is a super-2 number, since 2×2123021130332312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212302113033195 and 212302113033204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212302117033231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 100808219761 + ... + 100808221866.

Almost surely, 2212302113033231 is an apocalyptic number.

212302113033231 is a deficient number, since it is larger than the sum of its proper divisors (129236139084601).

212302113033231 is a wasteful number, since it uses less digits than its factorization.

212302113033231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201616441652 (or 201616441643 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 212302113033231 its reverse (132330311203212), we get a palindrome (344632424236443).

The spelling of 212302113033231 in words is "two hundred twelve trillion, three hundred two billion, one hundred thirteen million, thirty-three thousand, two hundred thirty-one".

Divisors: 1 3 9 13 27 39 81 117 351 1053 201616441627 604849324881 1814547974643 2621013741151 5443643923929 7863041223453 16330931771787 23589123670359 70767371011077 212302113033231