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212321120199 = 3241129699887
BaseRepresentation
bin1100010110111101010…
…0110010111111000111
3202022001000122102221120
43011233110302333013
511434313201321244
6241312230245023
721224341513146
oct3055724627707
9668030572846
10212321120199
1182054812171
1235195ab6773
1317038b67a46
14a3c260d75d
1557c9ec6819
hex316f532fc7

212321120199 has 16 divisors (see below), whose sum is σ = 283336289280. Its totient is φ = 141426743360.

The previous prime is 212321120191. The next prime is 212321120213. The reversal of 212321120199 is 991021123212.

It is a cyclic number.

It is not a de Polignac number, because 212321120199 - 23 = 212321120191 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212321120191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21469834 + ... + 21479720.

It is an arithmetic number, because the mean of its divisors is an integer number (17708518080).

Almost surely, 2212321120199 is an apocalyptic number.

212321120199 is a deficient number, since it is larger than the sum of its proper divisors (71015169081).

212321120199 is a wasteful number, since it uses less digits than its factorization.

212321120199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15270.

The product of its (nonzero) digits is 3888, while the sum is 33.

It can be divided in two parts, 212321 and 120199, that added together give a triangular number (332520 = T815).

The spelling of 212321120199 in words is "two hundred twelve billion, three hundred twenty-one million, one hundred twenty thousand, one hundred ninety-nine".

Divisors: 1 3 2411 2969 7233 8907 9887 29661 7158259 21474777 23837557 29354503 71512671 88063509 70773706733 212321120199