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1022022202221 = 322291351336697
BaseRepresentation
bin11101101111101010100…
…01010011001101101101
310121201000111002012200100
432313311101103031231
5113221100140432341
62101302134421313
7133560443245146
oct16676521231555
93551014065610
101022022202221
11364489986419
121460a9201839
13754b78c2427
1437675126acd
151b8b9ccd3b6
hexedf545336d

1022022202221 has 24 divisors (see below), whose sum is σ = 1482850948280. Its totient is φ = 678304129536.

The previous prime is 1022022202163. The next prime is 1022022202249. The reversal of 1022022202221 is 1222022202201.

1022022202221 is a `hidden beast` number, since 1 + 0 + 220 + 2 + 220 + 2 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 249011978121 + 773010224100 = 499011^2 + 879210^2 .

It is not a de Polignac number, because 1022022202221 - 233 = 1013432267629 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1022022202194 and 1022022202203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022022202261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27831945 + ... + 27868641.

Almost surely, 21022022202221 is an apocalyptic number.

It is an amenable number.

1022022202221 is a deficient number, since it is larger than the sum of its proper divisors (460828746059).

1022022202221 is a wasteful number, since it uses less digits than its factorization.

1022022202221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50445 (or 50442 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 1022022202221 its reverse (1222022202201), we get a palindrome (2244044404422).

The spelling of 1022022202221 in words is "one trillion, twenty-two billion, twenty-two million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 3 9 229 687 2061 13513 36697 40539 110091 121617 330273 3094477 8403613 9283431 25210839 27850293 75632517 495886561 1487659683 4462979049 113558022469 340674067407 1022022202221