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1012220002200 = 2335211197778511
BaseRepresentation
bin11101011101011010000…
…00110111111110011000
310120202201100111212010010
432232231000313332120
5113041011310032300
62053001335321520
7133062520025421
oct16565500677630
93522640455103
101012220002200
11360309891470
121442125202a0
13745b4b9ba84
1436dc5372648
151b4e4492a50
hexebad037f98

1012220002200 has 192 divisors, whose sum is σ = 3440524792320. Its totient is φ = 244140736000.

The previous prime is 1012220002187. The next prime is 1012220002219. The reversal of 1012220002200 is 22000222101.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 910945 + ... + 1689455.

It is an arithmetic number, because the mean of its divisors is an integer number (17919399960).

Almost surely, 21012220002200 is an apocalyptic number.

1012220002200 is a gapful number since it is divisible by the number (10) 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 1012220002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720262396160).

1012220002200 is an abundant number, since it is smaller than the sum of its proper divisors (2428304790120).

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

1012220002200 is a wasteful number, since it uses less digits than its factorization.

1012220002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778738 (or 778729 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1012220002200 its reverse (22000222101), we get a palindrome (1034220224301).

The spelling of 1012220002200 in words is "one trillion, twelve billion, two hundred twenty million, two thousand, two hundred".