Search a number
-
+
1022111222000 = 245311414332617
BaseRepresentation
bin11101101111110101001…
…00111000100011110000
310121201020200120212212012
432313322210320203300
5113221240433101000
62101315034422052
7133562604016061
oct16677244704360
93551220525765
101022111222000
11364525158290
12146112b91928
137550019015b
1437682c9a568
151b8c2a14735
hexedfa9388f0

1022111222000 has 320 divisors, whose sum is σ = 2769339500928. Its totient is φ = 361635840000.

The previous prime is 1022111221951. The next prime is 1022111222039. The reversal of 1022111222000 is 2221112201.

It is a super-2 number, since 2×10221112220002 (a number of 25 digits) contains 22 as substring.

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, 390564692 + ... + 390567308.

Almost surely, 21022111222000 is an apocalyptic number.

1022111222000 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 1022111222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384669750464).

1022111222000 is an abundant number, since it is smaller than the sum of its proper divisors (1747228278928).

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

1022111222000 is a wasteful number, since it uses less digits than its factorization.

1022111222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3125 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1022111222000 its reverse (2221112201), we get a palindrome (1024332334201).

The spelling of 1022111222000 in words is "one trillion, twenty-two billion, one hundred eleven million, two hundred twenty-two thousand".