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1012022000000 = 275611157293
BaseRepresentation
bin11101011101000010011…
…01100011100110000000
310120202012112221022011022
432232201031203212000
5113040110113000000
62052525543405012
7133054564031504
oct16564115434600
93522175838138
101012022000000
11360218043490
12144178153768
1374582b63bcb
1436da6d50304
151b4d1dd0585
hexeba1363980

1012022000000 has 448 divisors, whose sum is σ = 2776197276720. Its totient is φ = 364416000000.

The previous prime is 1012021999999. The next prime is 1012022000009. The reversal of 1012022000000 is 2202101.

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 (1012022000009) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3453999854 + ... + 3454000146.

Almost surely, 21012022000000 is an apocalyptic number.

1012022000000 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 1012022000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388098638360).

1012022000000 is an abundant number, since it is smaller than the sum of its proper divisors (1764175276720).

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

1012022000000 is an frugal number, since it uses more digits than its factorization.

1012022000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 468 counting only the distinct ones).

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

Adding to 1012022000000 its reverse (2202101), we get a palindrome (1012024202101).

The spelling of 1012022000000 in words is "one trillion, twelve billion, twenty-two million", and thus it is an aban number and an uban number.