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1022320011000 = 2335310310313209
BaseRepresentation
bin11101110000001110000…
…01010110011011111000
310121201210020110110112010
432320013001112123320
5113222202410323000
62101351453445520
7133601020500261
oct16700701263370
93551706413463
101022320011000
11364621aa3582
12146170aa08a0
1375534503a42
14376a28c9968
151b8d6007d50
hexee070566f8

1022320011000 has 256 divisors, whose sum is σ = 3224734156800. Its totient is φ = 269625984000.

The previous prime is 1022320010981. The next prime is 1022320011067. The reversal of 1022320011000 is 1100232201.

1022320011000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 318577396 + ... + 318580604.

It is an arithmetic number, because the mean of its divisors is an integer number (12596617800).

Almost surely, 21022320011000 is an apocalyptic number.

1022320011000 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 1022320011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612367078400).

1022320011000 is an abundant number, since it is smaller than the sum of its proper divisors (2202414145800).

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

1022320011000 is a wasteful number, since it uses less digits than its factorization.

1022320011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4367 (or 4353 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1022320011000 its reverse (1100232201), we get a palindrome (1023420243201).

The spelling of 1022320011000 in words is "one trillion, twenty-two billion, three hundred twenty million, eleven thousand".