Search a number
-
+
1021222111221 = 321367293444623
BaseRepresentation
bin11101101110001011001…
…01001100011111110101
310121121221201120101011100
432313011211030133311
5113212430330024341
62101050514000313
7133531556502264
oct16670545143765
93547851511140
101021222111221
11364109293194
12145b05276099
13753bac09cc0
14375dab765db
151b86e9393b6
hexedc594c7f5

1021222111221 has 48 divisors (see below), whose sum is σ = 1617783987456. Its totient is φ = 616950373248.

The previous prime is 1021222111201. The next prime is 1021222111271. The reversal of 1021222111221 is 1221112221201.

1021222111221 is a `hidden beast` number, since 1 + 0 + 212 + 221 + 11 + 221 = 666.

It is not a de Polignac number, because 1021222111221 - 218 = 1021221849077 is a prime.

It is a super-2 number, since 2×10212221112212 (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 = 1021222111194 and 1021222111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021222111201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2074516 + ... + 2519138.

It is an arithmetic number, because the mean of its divisors is an integer number (33703833072).

Almost surely, 21021222111221 is an apocalyptic number.

It is an amenable number.

1021222111221 is a deficient number, since it is larger than the sum of its proper divisors (596561876235).

1021222111221 is a wasteful number, since it uses less digits than its factorization.

1021222111221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445002 (or 444999 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1021222111221 its reverse (1221112221201), we get a palindrome (2242334332422).

The spelling of 1021222111221 in words is "one trillion, twenty-one billion, two hundred twenty-two million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 13 39 67 117 201 293 603 871 879 2613 2637 3809 7839 11427 19631 34281 58893 176679 255203 444623 765609 1333869 2296827 4001607 5780099 17340297 29789741 52020891 89369223 130274539 268107669 387266633 390823617 1161799899 1172470851 1693569007 3485399697 5080707021 8728394113 15242121063 26185182339 78555547017 113469123469 340407370407 1021222111221