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112022020202202 = 232113535209307687
BaseRepresentation
bin11001011110001000101000…
…101110001001111011011010
3112200122012102012021210202200
4121132020220232021323122
5104140332044132432302
61034130112230111030
732411216042614065
oct3136105056117332
9480565365253680
10112022020202202
113276a2a9aa58a0
121069274baab476
134a6782890bc76
141d93c7510d8dc
15ce3e3a9ae81c
hex65e228b89eda

112022020202202 has 96 divisors (see below), whose sum is σ = 265581241810560. Its totient is φ = 33843293890560.

The previous prime is 112022020202123. The next prime is 112022020202203. The reversal of 112022020202202 is 202202020220211.

112022020202202 is a `hidden beast` number, since 1 + 1 + 20 + 220 + 20 + 202 + 202 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (112022020202203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 363924003 + ... + 364231689.

It is an arithmetic number, because the mean of its divisors is an integer number (2766471268860).

Almost surely, 2112022020202202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112022020202202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132790620905280).

112022020202202 is an abundant number, since it is smaller than the sum of its proper divisors (153559221608358).

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

112022020202202 is a wasteful number, since it uses less digits than its factorization.

112022020202202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313268 (or 313265 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 112022020202202 its reverse (202202020220211), we get a palindrome (314224040422413).

It can be divided in two parts, 11 and 2022020202202, that multiplied together give a palindrome (22242222224222).

The spelling of 112022020202202 in words is "one hundred twelve trillion, twenty-two billion, twenty million, two hundred two thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 353 706 1059 2118 3177 3883 5209 6354 7766 10418 11649 15627 23298 31254 34947 46881 57299 69894 93762 114598 171897 307687 343794 515691 615374 923061 1031382 1838777 1846122 2769183 3384557 3677554 5516331 5538366 6769114 10153671 11032662 16548993 20226547 20307342 30461013 33097986 40453094 60679641 60922026 108613511 121359282 182038923 217227022 325840533 364077846 651681066 977521599 1194748621 1602741583 1955043198 2389497242 3205483166 3584245863 4808224749 7168491726 9616449498 10752737589 14424674247 17630157413 21505475178 28849348494 35260314826 52890472239 105780944478 158671416717 317342833434 565767778799 1131535557598 1697303336397 3394606672794 5091910009191 6223445566789 10183820018382 12446891133578 18670336700367 37340673400734 56011010101101 112022020202202