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212012112112002 = 23226944997519069
BaseRepresentation
bin110000001101001011101010…
…101000010110100110000010
31000210200011022121210012110200
4300031023222220112212002
5210242101301200041002
62030525004132110030
762441240531513106
oct6015135250264602
91023604277705420
10212012112112002
116160a917163174
121b94144b465316
13913b86c107a37
143a4d626085906
151979dc54c8b1c
hexc0d2eaa16982

212012112112002 has 48 divisors (see below), whose sum is σ = 462094113195000. Its totient is φ = 70251176282112.

The previous prime is 212012112111941. The next prime is 212012112112013. The reversal of 212012112112002 is 200211211210212.

212012112112002 is a `hidden beast` number, since 21 + 20 + 1 + 211 + 211 + 200 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 149094869414481 + 62917242697521 = 12210441^2 + 7932039^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46585477 + ... + 50933592.

Almost surely, 2212012112112002 is an apocalyptic number.

212012112112002 is an abundant number, since it is smaller than the sum of its proper divisors (250082001082998).

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

212012112112002 is a wasteful number, since it uses less digits than its factorization.

212012112112002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97519795 (or 97519792 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212012112112002 its reverse (200211211210212), we get a palindrome (412223323322214).

The spelling of 212012112112002 in words is "two hundred twelve trillion, twelve billion, one hundred twelve million, one hundred twelve thousand, two".

Divisors: 1 2 3 6 9 18 269 449 538 807 898 1347 1614 2421 2694 4041 4842 8082 120781 241562 362343 724686 1087029 2174058 97519069 195038138 292557207 585114414 877671621 1755343242 26232629561 43786061981 52465259122 78697888683 87572123962 131358185943 157395777366 236093666049 262716371886 394074557829 472187332098 788149115658 11778450672889 23556901345778 35335352018667 70670704037334 106006056056001 212012112112002