Search a number
-
+
33300122221233 = 3273132124779481
BaseRepresentation
bin1111001001001010010011…
…11101001011101010110001
311100220110102202212112200200
413210211021331023222301
513331042122242034413
6154453510455305413
710004566033421040
oct744451175135261
9140813382775620
1033300122221233
11a67955895270a
12389995367b269
13157725a1c19ba
14831a3d71c557
153cb32c7c0573
hex1e4949f4bab1

33300122221233 has 48 divisors (see below), whose sum is σ = 55150547951616. Its totient is φ = 18966715522560.

The previous prime is 33300122221117. The next prime is 33300122221277. The reversal of 33300122221233 is 33212222100333.

33300122221233 is a `hidden beast` number, since 3 + 3 + 300 + 12 + 222 + 123 + 3 = 666.

It is not a de Polignac number, because 33300122221233 - 226 = 33300055112369 is a prime.

It is a super-2 number, since 2×333001222212332 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33300122221197 and 33300122221206.

It is not an unprimeable number, because it can be changed into a prime (33300122221033) 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, 418929853 + ... + 419009333.

It is an arithmetic number, because the mean of its divisors is an integer number (1148969748992).

Almost surely, 233300122221233 is an apocalyptic number.

It is an amenable number.

33300122221233 is a deficient number, since it is larger than the sum of its proper divisors (21850425730383).

33300122221233 is a wasteful number, since it uses less digits than its factorization.

33300122221233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101054 (or 101051 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 33300122221233 its reverse (33212222100333), we get a palindrome (66512344321566).

The spelling of 33300122221233 in words is "thirty-three trillion, three hundred billion, one hundred twenty-two million, two hundred twenty-one thousand, two hundred thirty-three".

Divisors: 1 3 7 9 21 63 313 939 2191 2817 6573 19719 21247 63741 79481 148729 191223 238443 446187 556367 715329 1338561 1669101 5007303 6650311 19950933 24877553 46552177 59852799 74632659 139656531 174142871 223897977 418969593 522428613 1567285839 1688732807 5066198421 11821129649 15198595263 35463388947 106390166841 528573368591 1585720105773 3700013580137 4757160317319 11100040740411 33300122221233