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212510105089 = 1717970199623
BaseRepresentation
bin1100010111101010010…
…1101101111000000001
3202022112012020212110221
43011322211231320001
511440210041330324
6241343101023041
721232125042412
oct3057245557001
9668465225427
10212510105089
1182141461327
1235229254a81
1317069066419
14a3dd765809
1557db8a70e4
hex317a96de01

212510105089 has 16 divisors (see below), whose sum is σ = 226592795520. Its totient is φ = 198606419200.

The previous prime is 212510105083. The next prime is 212510105099. The reversal of 212510105089 is 980501015212.

212510105089 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 212510105089 - 25 = 212510105057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212510105083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2083332 + ... + 2182954.

It is an arithmetic number, because the mean of its divisors is an integer number (14162049720).

Almost surely, 2212510105089 is an apocalyptic number.

It is an amenable number.

212510105089 is a deficient number, since it is larger than the sum of its proper divisors (14082690431).

212510105089 is a wasteful number, since it uses less digits than its factorization.

212510105089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100520.

The product of its (nonzero) digits is 7200, while the sum is 34.

The spelling of 212510105089 in words is "two hundred twelve billion, five hundred ten million, one hundred five thousand, eighty-nine".

Divisors: 1 17 179 701 3043 11917 99623 125479 1693591 2133143 17832517 69835723 303152789 1187207291 12500594417 212510105089