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1022112300000 = 2535511309731
BaseRepresentation
bin11101101111110101010…
…00111111101111100000
310121201020202121122121010
432313322220333233200
5113221241222100000
62101315113500520
7133562616125661
oct16677250775740
93551222548533
101022112300000
113645258241a0
12146113411740
1375500479a1c
143768309b368
151b8c2b78d50
hexedfaa3fbe0

1022112300000 has 288 divisors, whose sum is σ = 3658475092608. Its totient is φ = 247784000000.

The previous prime is 1022112299927. The next prime is 1022112300059. The reversal of 1022112300000 is 32112201.

It is a super-2 number, since 2×10221123000002 (a number of 25 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 3145135 + ... + 3454865.

It is an arithmetic number, because the mean of its divisors is an integer number (12703038516).

Almost surely, 21022112300000 is an apocalyptic number.

1022112300000 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 1022112300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829237546304).

1022112300000 is an abundant number, since it is smaller than the sum of its proper divisors (2636362792608).

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

1022112300000 is an equidigital number, since it uses as much as digits as its factorization.

1022112300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309780 (or 309752 counting only the distinct ones).

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

Adding to 1022112300000 its reverse (32112201), we get a palindrome (1022144412201).

The spelling of 1022112300000 in words is "one trillion, twenty-two billion, one hundred twelve million, three hundred thousand".