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1022111000000 = 26567511361
BaseRepresentation
bin11101101111110101001…
…00000010010111000000
310121201020200011121022222
432313322210002113000
5113221240404000000
62101315025550212
7133562602102616
oct16677244022700
93551220147288
101022111000000
11364525016512
12146112aa5368
13755001130ac
1437682c3d6b6
151b8c29bda85
hexedfa9025c0

1022111000000 has 196 divisors, whose sum is σ = 2540523105888. Its totient is φ = 408000000000.

The previous prime is 1022110999961. The next prime is 1022111000003. The reversal of 1022111000000 is 1112201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022111000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 750999320 + ... + 751000680.

Almost surely, 21022111000000 is an apocalyptic number.

1022111000000 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 1022111000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270261552944).

1022111000000 is an abundant number, since it is smaller than the sum of its proper divisors (1518412105888).

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

1022111000000 is an frugal number, since it uses more digits than its factorization.

1022111000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1022111000000 its reverse (1112201), we get a palindrome (1022112112201).

The spelling of 1022111000000 in words is "one trillion, twenty-two billion, one hundred eleven million", and thus it is an aban number.