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1020218719212 = 22327211174916299
BaseRepresentation
bin11101101100010011100…
…01100011101111101100
310121112100210111210002100
432312021301203233230
5113203401443003322
62100403151455100
7133464654013200
oct16661161435754
93545323453070
101020218719212
113637439629a0
12145885227490
137528b082c14
14375437c4b00
151b8117d7dac
hexed89c63bec

1020218719212 has 432 divisors, whose sum is σ = 3472767043200. Its totient is φ = 248856652800.

The previous prime is 1020218719097. The next prime is 1020218719213. The reversal of 1020218719212 is 2129178120201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1020218719213) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 161962039 + ... + 161968337.

It is an arithmetic number, because the mean of its divisors is an integer number (8038812600).

Almost surely, 21020218719212 is an apocalyptic number.

1020218719212 is a gapful number since it is divisible by the number (12) 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 1020218719212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736383521600).

1020218719212 is an abundant number, since it is smaller than the sum of its proper divisors (2452548323988).

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

1020218719212 is a wasteful number, since it uses less digits than its factorization.

1020218719212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6842 (or 6830 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 1020218719212 in words is "one trillion, twenty billion, two hundred eighteen million, seven hundred nineteen thousand, two hundred twelve".