Search a number
-
+
120022000033 = 13175917595233
BaseRepresentation
bin110111111000111011…
…1100110000110100001
3102110210112120022212111
41233301313212012201
53431301113000113
6131045355555321
711446154111305
oct1576167460641
9373715508774
10120022000033
11469a0321071
121b31715bb41
13b41991ac40
145b48231d05
1531c6d9e13d
hex1bf1de61a1

120022000033 has 32 divisors (see below), whose sum is σ = 139283020800. Its totient is φ = 102427324416.

The previous prime is 120022000013. The next prime is 120022000097. The reversal of 120022000033 is 330000220021.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 120022000033 - 25 = 120022000001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120021999977 and 120022000022.

It is not an unprimeable number, because it can be changed into a prime (120022000013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22932985 + ... + 22938217.

It is an arithmetic number, because the mean of its divisors is an integer number (4352594400).

Almost surely, 2120022000033 is an apocalyptic number.

120022000033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120022000033 is a deficient number, since it is larger than the sum of its proper divisors (19261020767).

120022000033 is a wasteful number, since it uses less digits than its factorization.

120022000033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7081.

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 120022000033 its reverse (330000220021), we get a palindrome (450022220054).

The spelling of 120022000033 in words is "one hundred twenty billion, twenty-two million, thirty-three", and thus it is an aban number.

Divisors: 1 13 17 59 221 767 1003 1759 5233 13039 22867 29903 68029 88961 103781 308747 388739 1156493 1349153 1764277 4013711 5248699 9204847 22935601 68233087 119663011 156482399 543085973 2034271187 7060117649 9232461541 120022000033