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1221002000001 = 32779272989897
BaseRepresentation
bin10001110001001001011…
…000111111011010000001
311022201121201200020211100
4101301021120333122001
5130001103003000001
62332530502205013
7154133365520520
oct21611130773201
94281551606740
101221002000001
11430907885593
1217877b123769
138b1a874cc44
144314d91c4b7
1521b638d0586
hex11c4963f681

1221002000001 has 48 divisors (see below), whose sum is σ = 2041907212800. Its totient is φ = 688623496704.

The previous prime is 1221001999993. The next prime is 1221002000033. The reversal of 1221002000001 is 1000002001221.

It is not a de Polignac number, because 1221002000001 - 23 = 1221001999993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1221002000041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13537285 + ... + 13627181.

It is an arithmetic number, because the mean of its divisors is an integer number (42539733600).

Almost surely, 21221002000001 is an apocalyptic number.

It is an amenable number.

1221002000001 is a deficient number, since it is larger than the sum of its proper divisors (820905212799).

1221002000001 is a wasteful number, since it uses less digits than its factorization.

1221002000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92718 (or 92715 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1221002000001 its reverse (1000002001221), we get a palindrome (2221004001222).

The spelling of 1221002000001 in words is "one trillion, two hundred twenty-one billion, two million, one", and thus it is an aban number.

Divisors: 1 3 7 9 21 63 79 237 553 711 1659 2729 4977 8187 19103 24561 57309 89897 171927 215591 269691 629279 646773 809073 1509137 1887837 1940319 4527411 5663511 7101863 13582233 21305589 49713041 63916767 149139123 245328913 447417369 735986739 1717302391 2207960217 5151907173 15455721519 19380984127 58142952381 135666888889 174428857143 407000666667 1221002000001