Search a number
-
+
202133413314 = 23274613479899
BaseRepresentation
bin1011110001000000010…
…1110001110111000010
3201022202000200022101100
42330100011301313002
511302432123211224
6232505300315230
720414024443620
oct2742005616702
9638660608340
10202133413314
11787a70511a8
12332120a2b16
13160a4308811
149ad7588510
1553d08dbac9
hex2f10171dc2

202133413314 has 48 divisors (see below), whose sum is σ = 501606705600. Its totient is φ = 57627110880.

The previous prime is 202133413301. The next prime is 202133413333. The reversal of 202133413314 is 413314331202.

It is a happy number.

202133413314 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 3 + 341 + 3 + 314 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1681864 + ... + 1798035.

It is an arithmetic number, because the mean of its divisors is an integer number (10450139700).

Almost surely, 2202133413314 is an apocalyptic number.

202133413314 is an abundant number, since it is smaller than the sum of its proper divisors (299473292286).

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

202133413314 is a wasteful number, since it uses less digits than its factorization.

202133413314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480375 (or 3480372 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 202133413314 its reverse (413314331202), we get a palindrome (615447744516).

The spelling of 202133413314 in words is "two hundred two billion, one hundred thirty-three million, four hundred thirteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 461 922 1383 2766 3227 4149 6454 8298 9681 19362 29043 58086 3479899 6959798 10439697 20879394 24359293 31319091 48718586 62638182 73077879 146155758 219233637 438467274 1604233439 3208466878 4812700317 9625400634 11229634073 14438100951 22459268146 28876201902 33688902219 67377804438 101066706657 202133413314