Search a number
-
+
12226101191 = 1723311915281
BaseRepresentation
bin10110110001011101…
…10111111111000111
31011120001120021212122
423120232313333013
5200014340214231
65341103440155
7611655100613
oct133056677707
934501507778
1012226101191
115204351867
1224525b605b
1311cac5a305
1483da76343
154b853377b
hex2d8bb7fc7

12226101191 has 32 divisors (see below), whose sum is σ = 14019526656. Its totient is φ = 10593792000.

The previous prime is 12226101169. The next prime is 12226101221. The reversal of 12226101191 is 19110162221.

It is a cyclic number.

It is not a de Polignac number, because 12226101191 - 222 = 12221906887 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12226101191.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12226101131) 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 31 ways as a sum of consecutive naturals, for example, 2312471 + ... + 2317751.

It is an arithmetic number, because the mean of its divisors is an integer number (438110208).

Almost surely, 212226101191 is an apocalyptic number.

12226101191 is a deficient number, since it is larger than the sum of its proper divisors (1793425465).

12226101191 is a wasteful number, since it uses less digits than its factorization.

12226101191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5543.

The product of its (nonzero) digits is 432, while the sum is 26.

The spelling of 12226101191 in words is "twelve billion, two hundred twenty-six million, one hundred one thousand, one hundred ninety-one".

Divisors: 1 17 23 31 191 391 527 713 3247 4393 5281 5921 12121 74681 89777 100657 121463 136183 163711 1008671 2064871 2315111 2783087 3765353 17147407 23199433 31268801 64011001 394390361 531569617 719182423 12226101191