Search a number
-
+
1106013245184 = 2832480040471
BaseRepresentation
bin10000000110000011100…
…001101100111100000000
310220201210222001021101100
4100012003201230330000
5121110103342321214
62204032342134400
7142623016316421
oct20060341547400
93821728037340
101106013245184
1139706a709111
1215a429721400
13803b1830a13
143b761d63648
151db83853309
hex1018386cf00

1106013245184 has 54 divisors (see below), whose sum is σ = 3188908855496. Its totient is φ = 368671080960.

The previous prime is 1106013245147. The next prime is 1106013245191. The reversal of 1106013245184 is 4815423106011.

1106013245184 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 0 + 132 + 4 + 518 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 240017932 + ... + 240022539.

Almost surely, 21106013245184 is an apocalyptic number.

It is an amenable number.

1106013245184 is an abundant number, since it is smaller than the sum of its proper divisors (2082895610312).

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

1106013245184 is an equidigital number, since it uses as much as digits as its factorization.

1106013245184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480040493 (or 480040476 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 1106013245184 in words is "one trillion, one hundred six billion, thirteen million, two hundred forty-five thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 480040471 960080942 1440121413 1920161884 2880242826 3840323768 4320364239 5760485652 7680647536 8640728478 11520971304 15361295072 17281456956 23041942608 30722590144 34562913912 46083885216 61445180288 69125827824 92167770432 122890360576 138251655648 184335540864 276503311296 368671081728 553006622592 1106013245184