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210200112122121 = 321129162145166531
BaseRepresentation
bin101111110010110100000111…
…000000111100100100001001
31000120020221020020010101112100
4233302310013000330210021
5210022404312200401441
62023020333131504013
762163312505646562
oct5762640700744411
91016227206111470
10210200112122121
1160a81404429580
121b6aa2342b8009
139039a29a32804
1439c9a4da9d169
151947bc2202cb6
hexbf2d0703c909

210200112122121 has 48 divisors (see below), whose sum is σ = 342857337750720. Its totient is φ = 122925228048000.

The previous prime is 210200112122083. The next prime is 210200112122129. The reversal of 210200112122121 is 121221211002012.

210200112122121 is a `hidden beast` number, since 210 + 20 + 0 + 11 + 212 + 212 + 1 = 666.

It is not a de Polignac number, because 210200112122121 - 29 = 210200112121609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 210200112122094 and 210200112122103.

It is not an unprimeable number, because it can be changed into a prime (210200112122129) 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, 17929375 + ... + 27237156.

It is an arithmetic number, because the mean of its divisors is an integer number (7142861203140).

Almost surely, 2210200112122121 is an apocalyptic number.

It is an amenable number.

210200112122121 is a deficient number, since it is larger than the sum of its proper divisors (132657225628599).

210200112122121 is a wasteful number, since it uses less digits than its factorization.

210200112122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45168198 (or 45168195 counting only the distinct ones).

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

Adding to 210200112122121 its reverse (121221211002012), we get a palindrome (331421323124133).

The spelling of 210200112122121 in words is "two hundred ten trillion, two hundred billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 11 29 33 87 99 261 319 957 1621 2871 4863 14589 17831 47009 53493 141027 160479 423081 517099 1551297 4653891 45166531 135499593 406498779 496831841 1309829399 1490495523 3929488197 4471486569 11788464591 14408123389 43224370167 73214946751 129673110501 219644840253 658934520759 805364414261 2123233455779 2416093242783 6369700367337 7248279728349 19109101102011 23355568013569 70066704040707 210200112122121