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121211113131 = 32232831013037
BaseRepresentation
bin111000011100010111…
…1101100111010101011
3102120212102002112101100
41300320233230322223
53441220021110011
6131403354452443
711520503314323
oct1607057547253
9376772075340
10121211113131
1147450571369
121b5a9434123
13b57909cc64
145c1c12a283
153246488d56
hex1c38beceab

121211113131 has 72 divisors (see below), whose sum is σ = 187126679376. Its totient is φ = 75581827200.

The previous prime is 121211113123. The next prime is 121211113139. The reversal of 121211113131 is 131311112121.

It is an interprime number because it is at equal distance from previous prime (121211113123) and next prime (121211113139).

It is not a de Polignac number, because 121211113131 - 23 = 121211113123 is a prime.

It is a super-2 number, since 2×1212111131312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121211113139) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39909945 + ... + 39912981.

It is an arithmetic number, because the mean of its divisors is an integer number (2598981658).

Almost surely, 2121211113131 is an apocalyptic number.

121211113131 is a deficient number, since it is larger than the sum of its proper divisors (65915566245).

121211113131 is a wasteful number, since it uses less digits than its factorization.

121211113131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3273 (or 3247 counting only the distinct ones).

The product of its digits is 36, while the sum is 18.

Adding to 121211113131 its reverse (131311112121), we get a palindrome (252522225252).

The spelling of 121211113131 in words is "one hundred twenty-one billion, two hundred eleven million, one hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 3 9 23 69 83 101 207 249 303 529 747 909 1587 1909 2323 3037 4761 5727 6969 8383 9111 17181 20907 25149 27333 43907 53429 69851 75447 131721 160287 192809 209553 252071 306737 395163 480861 578427 628659 756213 920211 1606573 1735281 2268639 2760633 4434607 4819719 5797633 7054951 13303821 14459157 17392899 21164853 25459171 39911463 52178697 63494559 76377513 133345559 162263873 229132539 400036677 486791619 585560933 1200110031 1460374857 1756682799 5270048397 13467901459 40403704377 121211113131