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30311123222133 = 32131187218255627
BaseRepresentation
bin1101110010001010110111…
…01110110111111001110101
310222022201022021221000110100
412321011123232313321311
512433104140021102013
6144244423205344313
76245622614215605
oct671053356677165
9128281267830410
1030311123222133
119726969938816
1234965b9a08099
1313bb432879bb0
1476b0cd8b6c05
153786ddc67473
hex1b915bbb7e75

30311123222133 has 24 divisors (see below), whose sum is σ = 47190358863648. Its totient is φ = 18637284415392.

The previous prime is 30311123222117. The next prime is 30311123222147. The reversal of 30311123222133 is 33122232111303.

30311123222133 is a `hidden beast` number, since 3 + 0 + 311 + 1 + 2 + 322 + 21 + 3 + 3 = 666.

It is not a de Polignac number, because 30311123222133 - 24 = 30311123222117 is a prime.

It is a super-2 number, since 2×303111232221332 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30311123222097 and 30311123222106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30311123222153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108988935 + ... + 109266692.

It is an arithmetic number, because the mean of its divisors is an integer number (1966264952652).

Almost surely, 230311123222133 is an apocalyptic number.

It is an amenable number.

30311123222133 is a deficient number, since it is larger than the sum of its proper divisors (16879235641515).

30311123222133 is a wasteful number, since it uses less digits than its factorization.

30311123222133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218256833 (or 218256830 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 30311123222133 its reverse (33122232111303), we get a palindrome (63433355333436).

The spelling of 30311123222133 in words is "thirty trillion, three hundred eleven billion, one hundred twenty-three million, two hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 13 39 117 1187 3561 10683 15431 46293 138879 218255627 654766881 1964300643 2837323151 8511969453 25535908359 259069429249 777208287747 2331624863241 3367902580237 10103707740711 30311123222133