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212144200114431 = 31319357197801503
BaseRepresentation
bin110000001111000110101011…
…101100000110000011111111
31000211010210021001122221221210
4300033012223230012003333
5210301232310212130211
62031105411120255503
762453625021145104
oct6017065354060377
91024123231587853
10212144200114431
1161660939416442
121b962b73471593
13914b15c759560
143a55b96996aab
15197d5567d49a6
hexc0f1abb060ff

212144200114431 has 32 divisors (see below), whose sum is σ = 320651100887040. Its totient is φ = 123678709225344.

The previous prime is 212144200114423. The next prime is 212144200114463. The reversal of 212144200114431 is 134411002441212.

It is not a de Polignac number, because 212144200114431 - 23 = 212144200114423 is a prime.

It is a super-2 number, since 2×2121442001144312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212144200114471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264282226 + ... + 265083728.

It is an arithmetic number, because the mean of its divisors is an integer number (10020346902720).

Almost surely, 2212144200114431 is an apocalyptic number.

212144200114431 is a deficient number, since it is larger than the sum of its proper divisors (108506900772609).

212144200114431 is a wasteful number, since it uses less digits than its factorization.

212144200114431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158735.

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 212144200114431 its reverse (134411002441212), we get a palindrome (346555202555643).

The spelling of 212144200114431 in words is "two hundred twelve trillion, one hundred forty-four billion, two hundred million, one hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 3 13 19 39 57 247 741 357197 801503 1071591 2404509 4643561 6786743 10419539 13930683 15228557 20360229 31258617 45685671 88227659 197971241 264682977 593913723 286294467091 858883401273 3721828072183 5439594874729 11165484216549 16318784624187 70714733371477 212144200114431