Base | Representation |
---|---|
bin | 11101001000101101110… |
… | …11010010010000010000 |
3 | 10112201001012212220010101 |
4 | 32210112323102100100 |
5 | 112400234134114414 |
6 | 2043523212542144 |
7 | 132220326523546 |
oct | 16442673222020 |
9 | 3481035786111 |
10 | 1001112019984 |
11 | 3566296aaa7a |
12 | 142032481954 |
13 | 7353479762b |
14 | 3664ddd3d96 |
15 | 1b0941c3a74 |
hex | e916ed2410 |
1001112019984 has 40 divisors (see below), whose sum is σ = 2055474032760. Its totient is φ = 470716489728.
The previous prime is 1001112019979. The next prime is 1001112020009. The reversal of 1001112019984 is 4899102111001.
It can be written as a sum of positive squares in 4 ways, for example, as 583573766400 + 417538253584 = 763920^2 + 646172^2 .
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1218069 + ... + 1867060.
It is an arithmetic number, because the mean of its divisors is an integer number (51386850819).
Almost surely, 21001112019984 is an apocalyptic number.
It is an amenable number.
1001112019984 is an abundant number, since it is smaller than the sum of its proper divisors (1054362012776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1001112019984 is a wasteful number, since it uses less digits than its factorization.
1001112019984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3086347 (or 3086341 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 37.
The spelling of 1001112019984 in words is "one trillion, one billion, one hundred twelve million, nineteen thousand, nine hundred eighty-four".
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