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231211112201311 = 11297312782394993
BaseRepresentation
bin110100100100100100001000…
…001101011111110001011111
31010022122120021221121020112111
4310210210020031133301133
5220301130324210420221
62135424530230214451
766462310620613324
oct6444441015376137
91108576257536474
10231211112201311
116774209a1a3840
1221b223197b4427
139c02164236778
14411496b254b4b
151bae4e93a7be1
hexd2490835fc5f

231211112201311 has 64 divisors (see below), whose sum is σ = 266911678955520. Its totient is φ = 198344390307840.

The previous prime is 231211112201309. The next prime is 231211112201339. The reversal of 231211112201311 is 113102211112132.

231211112201311 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 231211112201311 - 21 = 231211112201309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231211112201371) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2433933031 + ... + 2434028023.

It is an arithmetic number, because the mean of its divisors is an integer number (4170494983680).

Almost surely, 2231211112201311 is an apocalyptic number.

231211112201311 is a deficient number, since it is larger than the sum of its proper divisors (35700566754209).

231211112201311 is a wasteful number, since it uses less digits than its factorization.

231211112201311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96056.

The product of its (nonzero) digits is 144, while the sum is 22.

Adding to 231211112201311 its reverse (113102211112132), we get a palindrome (344313323313443).

The spelling of 231211112201311 in words is "two hundred thirty-one trillion, two hundred eleven billion, one hundred twelve million, two hundred one thousand, three hundred eleven".

Divisors: 1 11 29 73 127 319 803 823 1397 2117 3683 9053 9271 23287 23867 40513 60079 94993 101981 104521 262537 268859 660869 1044923 1149731 1742291 2754797 2957449 3031109 6934489 7630033 12064111 19165201 30302767 33342199 76279379 78179239 83930363 132705221 201100181 221270957 349859219 859971629 880680103 2212101991 2267197931 2433980527 3848451409 5707084447 9687481133 9928763353 24939177241 25539722987 62777928917 109216396883 165505448963 280936952857 287934137237 724799724769 1820559938593 3167275509607 7972796972459 21019192018301 231211112201311