Search a number
-
+
1000221112221 = 317375341923869
BaseRepresentation
bin11101000111000011101…
…00101111011110011101
310112121202010111002102120
432203201310233132131
5112341423101042341
62043254545413153
7132156261114042
oct16434164573635
93477663432376
101000221112221
11356211818871
12141a2403a1b9
1373422035586
14365a79631c9
151b040d91066
hexe8e1d2f79d

1000221112221 has 64 divisors (see below), whose sum is σ = 1481192697600. Its totient is φ = 597651664896.

The previous prime is 1000221112201. The next prime is 1000221112237. The reversal of 1000221112221 is 1222111220001.

It is not a de Polignac number, because 1000221112221 - 211 = 1000221110173 is a prime.

It is a super-2 number, since 2×10002211122212 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1000221112221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000221112201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41892675 + ... + 41916543.

It is an arithmetic number, because the mean of its divisors is an integer number (23143635900).

Almost surely, 21000221112221 is an apocalyptic number.

It is an amenable number.

1000221112221 is a deficient number, since it is larger than the sum of its proper divisors (480971585379).

1000221112221 is a wasteful number, since it uses less digits than its factorization.

1000221112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24398.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1000221112221 its reverse (1222111220001), we get a palindrome (2222332332222).

The spelling of 1000221112221 in words is "one trillion, two hundred twenty-one million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 17 37 51 53 111 159 419 629 901 1257 1887 1961 2703 5883 7123 15503 21369 22207 23869 33337 46509 66621 71607 100011 263551 377519 405773 790653 821659 883153 1132557 1217319 1265057 2464977 2649459 3795171 10001111 13968203 15013601 21505969 30003333 41904609 45040803 46807109 64517907 140421327 170018887 370041107 510056661 530058883 795720853 1110123321 1590176649 2387162559 6290698819 9011001011 18872096457 19612178671 27033003033 58836536013 333407037407 1000221112221