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31222100133 = 33733371353
BaseRepresentation
bin11101000100111110…
…110111000010100101
32222120220220000121000
4131010332313002211
51002420324201013
622202045543513
72153466321000
oct350476670245
988526800530
1031222100133
1112272074a44
126074274b99
132c37626883
14172288c537
15c2b07c973
hex744fb70a5

31222100133 has 32 divisors (see below), whose sum is σ = 53941664000. Its totient is φ = 17841194784.

The previous prime is 31222100131. The next prime is 31222100153. The reversal of 31222100133 is 33100122213.

31222100133 is a `hidden beast` number, since 312 + 221 + 0 + 0 + 133 = 666.

It is not a de Polignac number, because 31222100133 - 21 = 31222100131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31222100131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1676416 + ... + 1694937.

It is an arithmetic number, because the mean of its divisors is an integer number (1685677000).

Almost surely, 231222100133 is an apocalyptic number.

It is an amenable number.

31222100133 is a deficient number, since it is larger than the sum of its proper divisors (22719563867).

31222100133 is an equidigital number, since it uses as much as digits as its factorization.

31222100133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3371383 (or 3371363 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31222100133 its reverse (33100122213), we get a palindrome (64322222346).

The spelling of 31222100133 in words is "thirty-one billion, two hundred twenty-two million, one hundred thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 27 49 63 147 189 343 441 1029 1323 3087 9261 3371353 10114059 23599471 30342177 70798413 91026531 165196297 212395239 495588891 637185717 1156374079 1486766673 3469122237 4460300019 10407366711 31222100133