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112000212131301 = 33131499199232801
BaseRepresentation
bin11001011101110100010100…
…110110111101110111100101
3112200120010010100120000112000
4121131310110312331313211
5104140002413301200201
61034112104231315513
732406514444226334
oct3135642466756745
9480503110500460
10112000212131301
11327610289aa3aa
121068a48451bb99
134a657617797c0
141d92ba6a4dd1b
15ce35b1143d86
hex65dd14dbdde5

112000212131301 has 64 divisors (see below), whose sum is σ = 179909385600000. Its totient is φ = 68452899379200.

The previous prime is 112000212131273. The next prime is 112000212131303. The reversal of 112000212131301 is 103131212000211.

112000212131301 is a `hidden beast` number, since 1 + 1 + 20 + 0 + 0 + 212 + 131 + 301 = 666.

It is not a de Polignac number, because 112000212131301 - 26 = 112000212131237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112000212131303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 480982101 + ... + 481214901.

It is an arithmetic number, because the mean of its divisors is an integer number (2811084150000).

Almost surely, 2112000212131301 is an apocalyptic number.

It is an amenable number.

112000212131301 is a deficient number, since it is larger than the sum of its proper divisors (67909173468699).

112000212131301 is a wasteful number, since it uses less digits than its factorization.

112000212131301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242171 (or 242165 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 112000212131301 its reverse (103131212000211), we get a palindrome (215131424131512).

The spelling of 112000212131301 in words is "one hundred twelve trillion, two hundred twelve million, one hundred thirty-one thousand, three hundred one".

Divisors: 1 3 9 13 27 39 117 149 351 447 1341 1937 4023 5811 9199 17433 27597 52299 82791 119587 232801 248373 358761 698403 1076283 1370651 2095209 3026413 3228849 4111953 6285627 9079239 12335859 17818463 27237717 34687349 37007577 53455389 81713151 104062047 160366167 312186141 450935537 481098501 936558423 1352806611 2141536399 4058419833 6424609197 12175259499 19273827591 27839973187 57821482773 83519919561 250559758683 319088923451 751679276049 957266770353 2871800311059 4148156004863 8615400933177 12444468014589 37333404043767 112000212131301