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202020012 = 223259227419
BaseRepresentation
bin11000000101010…
…01010010101100
3112002010200100200
430002221102230
5403204120022
632013553500
75002066425
oct1402512254
9462120320
10202020012
11a4042697
12577a5890
1332b1388c
141cb8a64c
1512b07bac
hexc0a94ac

202020012 has 72 divisors (see below), whose sum is σ = 522849600. Its totient is φ = 65749728.

The previous prime is 202019969. The next prime is 202020019. The reversal of 202020012 is 210020202.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 202019976 and 202020003.

It is not an unprimeable number, because it can be changed into a prime (202020019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 481939 + ... + 482357.

It is an arithmetic number, because the mean of its divisors is an integer number (7261800).

Almost surely, 2202020012 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 202020012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261424800).

202020012 is an abundant number, since it is smaller than the sum of its proper divisors (320829588).

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

202020012 is a wasteful number, since it uses less digits than its factorization.

202020012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 202020012 is about 14213.3744058193. The cubic root of 202020012 is about 586.7658063919.

Adding to 202020012 its reverse (210020202), we get a palindrome (412040214).

The spelling of 202020012 in words is "two hundred two million, twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 227 236 354 419 454 531 681 708 838 908 1062 1257 1362 1676 2043 2124 2514 2724 3771 4086 5028 7542 8172 13393 15084 24721 26786 40179 49442 53572 74163 80358 95113 98884 120537 148326 160716 190226 222489 241074 285339 296652 380452 444978 482148 570678 856017 889956 1141356 1712034 3424068 5611667 11223334 16835001 22446668 33670002 50505003 67340004 101010006 202020012