Search a number
-
+
200022012012123 = 32731151678263741
BaseRepresentation
bin101101011110101101000000…
…111110010010011001011011
3222020012220202221010010120200
4231132231000332102121123
5202204130040033341443
61545224502131153243
760063053631323130
oct5536550076223133
9866186687103520
10200022012012123
115880794a243904
121a525733145823
13877bcc1758522
14375718d210587
15181d071791dd3
hexb5eb40f9265b

200022012012123 has 48 divisors (see below), whose sum is σ = 343103783473152. Its totient is φ = 109878725880000.

The previous prime is 200022012012103. The next prime is 200022012012167. The reversal of 200022012012123 is 321210210220002.

200022012012123 is a `hidden beast` number, since 200 + 0 + 220 + 1 + 201 + 21 + 23 = 666.

It is not a de Polignac number, because 200022012012123 - 26 = 200022012012059 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200022012012096 and 200022012012105.

It is not an unprimeable number, because it can be changed into a prime (200022012012103) 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, 338836968 + ... + 339426773.

It is an arithmetic number, because the mean of its divisors is an integer number (7147995489024).

Almost surely, 2200022012012123 is an apocalyptic number.

200022012012123 is a deficient number, since it is larger than the sum of its proper divisors (143081771461029).

200022012012123 is a wasteful number, since it uses less digits than its factorization.

200022012012123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678263936 (or 678263933 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 200022012012123 its reverse (321210210220002), we get a palindrome (521232222232125).

The spelling of 200022012012123 in words is "two hundred trillion, twenty-two billion, twelve million, twelve thousand, one hundred twenty-three".

Divisors: 1 3 7 9 21 31 63 93 151 217 279 453 651 1057 1359 1953 3171 4681 9513 14043 32767 42129 98301 294903 678263741 2034791223 4747846187 6104373669 14243538561 21026175971 42730615683 63078527913 102417824891 147183231797 189235583739 307253474673 441549695391 716924774237 921760424019 1324649086173 2150774322711 3174952571621 6452322968133 9524857714863 22224668001347 28574573144589 66674004004041 200022012012123