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120022033313 = 7131716776829
BaseRepresentation
bin110111111000111011…
…1101110001110100001
3102110210112122000112002
41233301313232032201
53431301120031223
6131045400413345
711446154310320
oct1576167561641
9373715560462
10120022033313
11469a0344076
121b317177255
13b419930130
145b482400b7
1531c6da8e28
hex1bf1dee3a1

120022033313 has 16 divisors (see below), whose sum is σ = 147729953280. Its totient is φ = 94955720256.

The previous prime is 120022033297. The next prime is 120022033321. The reversal of 120022033313 is 313330220021.

It is a cyclic number.

It is not a de Polignac number, because 120022033313 - 24 = 120022033297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120022033333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1523783 + ... + 1600611.

It is an arithmetic number, because the mean of its divisors is an integer number (9233122080).

Almost surely, 2120022033313 is an apocalyptic number.

120022033313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120022033313 is a deficient number, since it is larger than the sum of its proper divisors (27707919967).

120022033313 is a wasteful number, since it uses less digits than its factorization.

120022033313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94016.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 120022033313 its reverse (313330220021), we get a palindrome (433352253334).

The spelling of 120022033313 in words is "one hundred twenty billion, twenty-two million, thirty-three thousand, three hundred thirteen".

Divisors: 1 7 13 91 17167 76829 120169 223171 537803 998777 1562197 6991439 1318923443 9232464101 17146004759 120022033313