Search a number
-
+
200201202202122 = 232118312182134733
BaseRepresentation
bin101101100001010011111001…
…100010100111011000001010
3222020212001022000001221100100
4231201103321202213120022
5202220044030230431442
61545443055042550230
760112026264651132
oct5541237142473012
9866761260057310
10200201202202122
1158876942454820
121a554401668376
138792b7a693954
143761b0b649ac2
151822a5cd3684c
hexb614f98a760a

200201202202122 has 48 divisors (see below), whose sum is σ = 478904080663008. Its totient is φ = 59936102881440.

The previous prime is 200201202202097. The next prime is 200201202202213. The reversal of 200201202202122 is 221202202102002.

200201202202122 is a `hidden beast` number, since 200 + 2 + 0 + 120 + 220 + 2 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 200201202202095 and 200201202202104.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6091050933 + ... + 6091083800.

It is an arithmetic number, because the mean of its divisors is an integer number (9977168347146).

Almost surely, 2200201202202122 is an apocalyptic number.

200201202202122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

200201202202122 is an abundant number, since it is smaller than the sum of its proper divisors (278702878460886).

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

200201202202122 is a wasteful number, since it uses less digits than its factorization.

200201202202122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12182134835 (or 12182134832 counting only the distinct ones).

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

Adding to 200201202202122 its reverse (221202202102002), we get a palindrome (421403404304124).

The spelling of 200201202202122 in words is "two hundred trillion, two hundred one billion, two hundred two million, two hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 83 99 166 198 249 498 747 913 1494 1826 2739 5478 8217 16434 12182134733 24364269466 36546404199 73092808398 109639212597 134003482063 219278425194 268006964126 402010446189 804020892378 1011117182839 1206031338567 2022234365678 2412062677134 3033351548517 6066703097034 9100054645551 11122289011229 18200109291102 22244578022458 33366867033687 66733734067374 100100601101061 200201202202122