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2201332000122 = 232122296222229
BaseRepresentation
bin100000000010001001100…
…111001010010101111010
321210110000121112011010100
4200002021213022111322
5242031311443000442
64403140012300230
7315020026161243
oct40021147122572
97713017464110
102201332000122
11779641586432
122b6771771676
1312c77a8139a8
147878b821cca
153c3dd36384c
hex200899ca57a

2201332000122 has 12 divisors (see below), whose sum is σ = 4769552666970. Its totient is φ = 733777333368.

The previous prime is 2201332000099. The next prime is 2201332000199. The reversal of 2201332000122 is 2210002331022.

2201332000122 is a `hidden beast` number, since 220 + 1 + 3 + 320 + 0 + 0 + 122 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1123470683721 + 1077861316401 = 1059939^2 + 1038201^2 .

It is a super-2 number, since 2×22013320001222 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 122296222229 = 2201332000122 / (2 + 2 + 0 + 1 + 3 + 3 + 2 + 0 + 0 + 0 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 2201332000095 and 2201332000104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61148111097 + ... + 61148111132.

Almost surely, 22201332000122 is an apocalyptic number.

2201332000122 is an abundant number, since it is smaller than the sum of its proper divisors (2568220666848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2201332000122 is a wasteful number, since it uses less digits than its factorization.

2201332000122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122296222237 (or 122296222234 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2201332000122 its reverse (2210002331022), we get a palindrome (4411334331144).

The spelling of 2201332000122 in words is "two trillion, two hundred one billion, three hundred thirty-two million, one hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 122296222229 244592444458 366888666687 733777333374 1100666000061 2201332000122