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212200201211193 = 321317106686878437
BaseRepresentation
bin110000001111111010110101…
…100111010100110100111001
31000211100010210212121102201200
4300033322311213110310321
5210303142003002224233
62031151232054204413
762460646542464556
oct6017726547246471
91024303725542650
10212200201211193
1161682666599298
121b9719a2053709
13915351588a2c0
143a5878a2dda2d
15197ec32e2c313
hexc0feb59d4d39

212200201211193 has 24 divisors (see below), whose sum is σ = 349506213762888. Its totient is φ = 122903283958272.

The previous prime is 212200201211177. The next prime is 212200201211233. The reversal of 212200201211193 is 391112102002212.

212200201211193 is a `hidden beast` number, since 21 + 220 + 0 + 20 + 1 + 211 + 193 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 93649980453264 + 118550220757929 = 9677292^2 + 10888077^2 .

It is not a de Polignac number, because 212200201211193 - 24 = 212200201211177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212200201221193) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53343437230 + ... + 53343441207.

It is an arithmetic number, because the mean of its divisors is an integer number (14562758906787).

Almost surely, 2212200201211193 is an apocalyptic number.

It is an amenable number.

212200201211193 is a deficient number, since it is larger than the sum of its proper divisors (137306012551695).

212200201211193 is a wasteful number, since it uses less digits than its factorization.

212200201211193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106686878473 (or 106686878470 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 212200201211193 in words is "two hundred twelve trillion, two hundred billion, two hundred one million, two hundred eleven thousand, one hundred ninety-three".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 106686878437 320060635311 960181905933 1386929419681 1813676933429 4160788259043 5441030800287 12482364777129 16323092400861 23577800134577 70733400403731 212200201211193