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202012110012 = 223295923342227
BaseRepresentation
bin1011110000100011011…
…1000010110010111100
3201022102120102110112110
42330020313002302330
511302210100010022
6232445244334020
720411022413646
oct2741067026274
9638376373473
10202012110012
117874462a239
1233199544310
131608514660b
149ac540d896
1553c4e2a00c
hex2f08dc2cbc

202012110012 has 96 divisors (see below), whose sum is σ = 498020140800. Its totient is φ = 63637622272.

The previous prime is 202012110007. The next prime is 202012110017. The reversal of 202012110012 is 210011210202.

202012110012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (202012110007) and next prime (202012110017).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 202012110012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202012110017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4762843 + ... + 4805069.

It is an arithmetic number, because the mean of its divisors is an integer number (5187709800).

Almost surely, 2202012110012 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 202012110012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249010070400).

202012110012 is an abundant number, since it is smaller than the sum of its proper divisors (296008030788).

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

202012110012 is a wasteful number, since it uses less digits than its factorization.

202012110012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42555 (or 42553 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 202012110012 its reverse (210011210202), we get a palindrome (412023320214).

The spelling of 202012110012 in words is "two hundred two billion, twelve million, one hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 12 29 58 59 87 116 118 174 177 233 236 348 354 466 699 708 932 1398 1711 2796 3422 5133 6757 6844 10266 13514 13747 20271 20532 27028 27494 40542 41241 42227 54988 81084 82482 84454 126681 164964 168908 253362 398663 506724 797326 1195989 1224583 1594652 2391978 2449166 2491393 3673749 4783956 4898332 4982786 7347498 7474179 9838891 9965572 14694996 14948358 19677782 29516673 29896716 39355564 59033346 72250397 118066692 144500794 216751191 285327839 289001588 433502382 570655678 580494569 855983517 867004764 1141311356 1160989138 1711967034 1741483707 2321978276 3423934068 3482967414 6965934828 16834342501 33668685002 50503027503 67337370004 101006055006 202012110012