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1011313000000 = 2656171931101
BaseRepresentation
bin11101011011101101111…
…00111011111001000000
310120200101010211101000001
432231312330323321000
5113032132112000000
62052331335205344
7133031164444222
oct16556674737100
93520333741001
101011313000000
1135a993907276
12143bba816854
137449bcc3194
1436d3ab12412
151b48ea3146a
hexeb76f3be40

1011313000000 has 784 divisors, whose sum is σ = 2914612692480. Its totient is φ = 345600000000.

The previous prime is 1011312999997. The next prime is 1011313000003. The reversal of 1011313000000 is 3131101.

It is an interprime number because it is at equal distance from previous prime (1011312999997) and next prime (1011313000003).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1011313000003) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10012999950 + ... + 10013000050.

Almost surely, 21011313000000 is an apocalyptic number.

1011313000000 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 1011313000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457306346240).

1011313000000 is an abundant number, since it is smaller than the sum of its proper divisors (1903299692480).

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

1011313000000 is an equidigital number, since it uses as much as digits as its factorization.

1011313000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 1011313000000 its reverse (3131101), we get a palindrome (1011316131101).

The spelling of 1011313000000 in words is "one trillion, eleven billion, three hundred thirteen million", and thus it is an aban number.