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221210000001012 = 223111737101202913001
BaseRepresentation
bin110010010011000001110111…
…011110001000011111110100
31002000020110200020120100201110
4302103001313132020133310
5212443301040000013022
62102250245430555020
764410616005550401
oct6223016736103764
91060213606510643
10221210000001012
11645366a8082220
1220987b91508a70
139658023848379
143c8a89a52d2a8
151a892a69be00c
hexc930777887f4

221210000001012 has 384 divisors, whose sum is σ = 618730821434880. Its totient is φ = 60742656000000.

The previous prime is 221210000000923. The next prime is 221210000001037. The reversal of 221210000001012 is 210100000012122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17014838512 + ... + 17014851512.

It is an arithmetic number, because the mean of its divisors is an integer number (1611278180820).

Almost surely, 2221210000001012 is an apocalyptic number.

221210000001012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221210000001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309365410717440).

221210000001012 is an abundant number, since it is smaller than the sum of its proper divisors (397520821433868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221210000001012 is a wasteful number, since it uses less digits than its factorization.

221210000001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15203 (or 15201 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221210000001012 its reverse (210100000012122), we get a palindrome (431310000013134).

The spelling of 221210000001012 in words is "two hundred twenty-one trillion, two hundred ten billion, one thousand, twelve".