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1000011000987 = 38376167531
BaseRepresentation
bin11101000110101010100…
…11001110110010011011
310112121012111010100000000
432203111103032302123
5112341010304012422
62043222042144043
7132151130154615
oct16432523166233
93477174110000
101000011000987
1135611415a119
121419857b2023
13733ba64abbb
1436587aabdb5
151b02c6dacac
hexe8d54cec9b

1000011000987 has 72 divisors (see below), whose sum is σ = 1565756162672. Its totient is φ = 638012635200.

The previous prime is 1000011000931. The next prime is 1000011000991. The reversal of 1000011000987 is 7890001100001.

It is not a de Polignac number, because 1000011000987 - 211 = 1000010998939 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1000011000987.

It is not an unprimeable number, because it can be changed into a prime (1000011002987) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14774412 + ... + 14841942.

Almost surely, 21000011000987 is an apocalyptic number.

1000011000987 is a deficient number, since it is larger than the sum of its proper divisors (565745161685).

1000011000987 is an frugal number, since it uses more digits than its factorization.

1000011000987 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67653 (or 67632 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

Adding to 1000011000987 its reverse (7890001100001), we get a palindrome (8890012100988).

The spelling of 1000011000987 in words is "one trillion, eleven million, nine hundred eighty-seven", and thus it is an aban number.

Divisors: 1 3 9 27 37 61 81 111 183 243 333 549 729 999 1647 2187 2257 2997 4941 6561 6771 8991 14823 20313 26973 44469 60939 67531 80919 133407 182817 202593 242757 400221 548451 607779 1645353 1823337 2498647 4119391 4936059 5470011 7495941 12358173 14808177 16410033 22487823 37074519 49230099 67463469 111223557 147690297 152417467 202390407 333670671 443070891 457252401 607171221 1001012013 1371757203 1821513663 3003036039 4115271609 5464540989 9009108117 12345814827 16393622967 27027324351 37037444481 111112333443 333337000329 1000011000987