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200020202210112 = 26315716061413143
BaseRepresentation
bin101101011110101011010101…
…000110011100001101000000
3222020012202002210122122221120
4231132223111012130031000
5202204112333231210422
61545224002400552240
760062661034262334
oct5536532506341500
9866182083578846
10200020202210112
11588071006a4869
121a525309022680
13877ba93815a6b
14375705ab057c4
15181ceb794e45c
hexb5ead519c340

200020202210112 has 112 divisors (see below), whose sum is σ = 532625396836992. Its totient is φ = 66244444231680.

The previous prime is 200020202210107. The next prime is 200020202210119. The reversal of 200020202210112 is 211012202020002.

It is a junction number, because it is equal to n+sod(n) for n = 200020202210091 and 200020202210100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200020202210119) 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 15 ways as a sum of consecutive naturals, for example, 483936213 + ... + 484349355.

Almost surely, 2200020202210112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200020202210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266312698418496).

200020202210112 is an abundant number, since it is smaller than the sum of its proper divisors (332605194626880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200020202210112 is a wasteful number, since it uses less digits than its factorization.

200020202210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429376 (or 429366 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 200020202210112 its reverse (211012202020002), we get a palindrome (411032404230114).

The spelling of 200020202210112 in words is "two hundred trillion, twenty billion, two hundred two million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 157 192 314 471 628 942 1256 1884 2512 3768 5024 7536 10048 15072 16061 30144 32122 48183 64244 96366 128488 192732 256976 385464 413143 513952 770928 826286 1027904 1239429 1541856 1652572 2478858 2521577 3083712 3305144 4957716 5043154 6610288 7564731 9915432 10086308 13220576 15129462 19830864 20172616 26441152 30258924 39661728 40345232 60517848 64863451 79323456 80690464 121035696 129726902 161380928 194590353 242071392 259453804 389180706 484142784 518907608 778361412 1037815216 1556722824 2075630432 3113445648 4151260864 6226891296 6635489723 12453782592 13270979446 19906469169 26541958892 39812938338 53083917784 79625876676 106167835568 159251753352 212335671136 318503506704 424671342272 637007013408 1041771886511 1274014026816 2083543773022 3125315659533 4167087546044 6250631319066 8334175092088 12501262638132 16668350184176 25002525276264 33336700368352 50005050552528 66673400736704 100010101105056 200020202210112