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1022221012221 = 321011124555569
BaseRepresentation
bin11101110000000010001…
…11101100110011111101
310121201112100011210201200
432320001013230303331
5113222002034342341
62101333555530113
7133565406145143
oct16700107546375
93551470153650
101022221012221
11364581126302
121461438b9939
1375519b50b96
14376936b9593
151b8cc49edb6
hexee011eccfd

1022221012221 has 12 divisors (see below), whose sum is σ = 1491160685820. Its totient is φ = 674733340800.

The previous prime is 1022221012213. The next prime is 1022221012223. The reversal of 1022221012221 is 1222101222201.

It is a happy number.

1022221012221 is a `hidden beast` number, since 1 + 0 + 222 + 210 + 12 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 939181944996 + 83039067225 = 969114^2 + 288165^2 .

It is not a de Polignac number, because 1022221012221 - 23 = 1022221012213 is a prime.

It is a super-2 number, since 2×10222210122212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1022221012194 and 1022221012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022221012223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 562276876 + ... + 562278693.

It is an arithmetic number, because the mean of its divisors is an integer number (124263390485).

Almost surely, 21022221012221 is an apocalyptic number.

It is an amenable number.

1022221012221 is a deficient number, since it is larger than the sum of its proper divisors (468939673599).

1022221012221 is a wasteful number, since it uses less digits than its factorization.

1022221012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124555676 (or 1124555673 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1022221012221 its reverse (1222101222201), we get a palindrome (2244322234422).

The spelling of 1022221012221 in words is "one trillion, twenty-two billion, two hundred twenty-one million, twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 101 303 909 1124555569 3373666707 10121000121 113580112469 340740337407 1022221012221