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1023242220000 = 25345471113631
BaseRepresentation
bin11101110001111011111…
…11010011000111100000
310121211011111202112110000
432320331333103013200
5113231100002020000
62102023155540000
7133632616235250
oct16707577230740
93554144675400
101023242220000
11364a55614880
121463898ba600
13756505a5140
143774d187960
151b93be70000
hexee3dfd31e0

1023242220000 has 2400 divisors, whose sum is σ = 5057004040704. Its totient is φ = 195955200000.

The previous prime is 1023242219999. The next prime is 1023242220017. The reversal of 1023242220000 is 222423201.

1023242220000 is a `hidden beast` number, since 10 + 2 + 32 + 422 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 1621619685 + ... + 1621620315.

Almost surely, 21023242220000 is an apocalyptic number.

1023242220000 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 1023242220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528502020352).

1023242220000 is an abundant number, since it is smaller than the sum of its proper divisors (4033761820704).

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

1023242220000 is a wasteful number, since it uses less digits than its factorization.

1023242220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 1023242220000 its reverse (222423201), we get a palindrome (1023464643201).

The spelling of 1023242220000 in words is "one trillion, twenty-three billion, two hundred forty-two million, two hundred twenty thousand".