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1000011000993 = 317191032003097
BaseRepresentation
bin11101000110101010100…
…11001110110010100001
310112121012111010100000020
432203111103032302201
5112341010304012433
62043222042144053
7132151130154624
oct16432523166241
93477174110006
101000011000993
1135611415a124
121419857b2029
13733ba64abc4
1436587aabdbb
151b02c6dacb3
hexe8d54ceca1

1000011000993 has 16 divisors (see below), whose sum is σ = 1486084461120. Its totient is φ = 594433783296.

The previous prime is 1000011000991. The next prime is 1000011001009. The reversal of 1000011000993 is 3990001100001.

1000011000993 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1000011000993 - 21 = 1000011000991 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1000011000991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 516000580 + ... + 516002517.

It is an arithmetic number, because the mean of its divisors is an integer number (92880278820).

Almost surely, 21000011000993 is an apocalyptic number.

It is an amenable number.

1000011000993 is a deficient number, since it is larger than the sum of its proper divisors (486073460127).

1000011000993 is a wasteful number, since it uses less digits than its factorization.

1000011000993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032003136.

The product of its (nonzero) digits is 243, while the sum is 24.

Adding to 1000011000993 its reverse (3990001100001), we get a palindrome (4990012100994).

The spelling of 1000011000993 in words is "one trillion, eleven million, nine hundred ninety-three", and thus it is an aban number.

Divisors: 1 3 17 19 51 57 323 969 1032003097 3096009291 17544052649 19608058843 52632157947 58824176529 333337000331 1000011000993