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2202012012033 = 321033236851889
BaseRepresentation
bin100000000010110010001…
…001001100111000000001
321210111210000002100002200
4200002302021030320001
5242034210033341113
64403331303303413
7315042624163251
oct40026211147001
97714700070080
102202012012033
11779960413449
122b692144ab69
1312c8586751c2
1478813c75961
153c42cdd8873
hex200b224ce01

2202012012033 has 12 divisors (see below), whose sum is σ = 3183763105380. Its totient is φ = 1466586890496.

The previous prime is 2202012011999. The next prime is 2202012012037. The reversal of 2202012012033 is 3302102102022.

It can be written as a sum of positive squares in 2 ways, for example, as 2171001858624 + 31010153409 = 1473432^2 + 176097^2 .

It is a de Polignac number, because none of the positive numbers 2k-2202012012033 is a prime.

It is a super-2 number, since 2×22020120120332 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2202012011997 and 2202012012015.

It is not an unprimeable number, because it can be changed into a prime (2202012012037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118416648 + ... + 118435241.

It is an arithmetic number, because the mean of its divisors is an integer number (265313592115).

Almost surely, 22202012012033 is an apocalyptic number.

It is an amenable number.

2202012012033 is a deficient number, since it is larger than the sum of its proper divisors (981751093347).

2202012012033 is a wasteful number, since it uses less digits than its factorization.

2202012012033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236852928 (or 236852925 counting only the distinct ones).

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

Adding to 2202012012033 its reverse (3302102102022), we get a palindrome (5504114114055).

The spelling of 2202012012033 in words is "two trillion, two hundred two billion, twelve million, twelve thousand, thirty-three".

Divisors: 1 3 9 1033 3099 9297 236851889 710555667 2131667001 244668001337 734004004011 2202012012033