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1022081922000 = 243353171113379
BaseRepresentation
bin11101101111110001101…
…01000111001111010000
310121201011122110021211000
432313320311013033100
5113221210433001000
62101312110422000
7133562066664246
oct16677065071720
93551148407730
101022081922000
1136450a665807
12146105201900
13754c70a1989
143767d030796
151b8c0178000
hexedf8d473d0

1022081922000 has 320 divisors, whose sum is σ = 3876700089600. Its totient is φ = 256522291200.

The previous prime is 1022081921999. The next prime is 1022081922019. The reversal of 1022081922000 is 2291802201.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 361311 + ... + 1474689.

It is an arithmetic number, because the mean of its divisors is an integer number (12114687780).

Almost surely, 21022081922000 is an apocalyptic number.

1022081922000 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 1022081922000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938350044800).

1022081922000 is an abundant number, since it is smaller than the sum of its proper divisors (2854618167600).

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

1022081922000 is a wasteful number, since it uses less digits than its factorization.

1022081922000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113428 (or 1113406 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 1022081922000 in words is "one trillion, twenty-two billion, eighty-one million, nine hundred twenty-two thousand".