Search a number
-
+
135884384207 = 111317124944753
BaseRepresentation
bin111111010001101010…
…1110010011111001111
3110222202000102221020122
41332203111302133033
54211242400243312
6142231401535155
712550225131305
oct1764325623717
9428660387218
10135884384207
11526a0213080
12224034a44bb
13ca77020090
146810bc0275
15380475eb72
hex1fa35727cf

135884384207 has 32 divisors (see below), whose sum is σ = 169170120000. Its totient is φ = 107232952320.

The previous prime is 135884384191. The next prime is 135884384213. The reversal of 135884384207 is 702483488531.

It is not a de Polignac number, because 135884384207 - 24 = 135884384191 is a prime.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135884384287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3013943 + ... + 3058695.

It is an arithmetic number, because the mean of its divisors is an integer number (5286566250).

Almost surely, 2135884384207 is an apocalyptic number.

135884384207 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

135884384207 is a deficient number, since it is larger than the sum of its proper divisors (33285735793).

135884384207 is a wasteful number, since it uses less digits than its factorization.

135884384207 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46043.

The product of its (nonzero) digits is 5160960, while the sum is 53.

The spelling of 135884384207 in words is "one hundred thirty-five billion, eight hundred eighty-four million, three hundred eighty-four thousand, two hundred seven".

Divisors: 1 11 13 17 143 187 221 1249 2431 13739 16237 21233 44753 178607 233563 276029 492283 581789 760801 3036319 6399679 8368811 9890413 55896497 108794543 614861467 726654461 950240449 7993199071 10452644939 12353125837 135884384207