Search a number
-
+
104272272401 = 1133128638361
BaseRepresentation
bin110000100011100011…
…1001001110000010001
3100222010220200021012212
41201013013021300101
53202022200204101
6115522500401505
710350651456113
oct1410707116021
9328126607185
10104272272401
1140248a85640
12182606a6295
139aa997138b
14509260b3b3
152aa43431bb
hex18471c9c11

104272272401 has 8 divisors (see below), whose sum is σ = 114095234208. Its totient is φ = 94506588000.

The previous prime is 104272272383. The next prime is 104272272407.

104272272401 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 104272272401 - 214 = 104272256017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104272272407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14315540 + ... + 14322821.

It is an arithmetic number, because the mean of its divisors is an integer number (14261904276).

Almost surely, 2104272272401 is an apocalyptic number.

104272272401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104272272401 is a deficient number, since it is larger than the sum of its proper divisors (9822961807).

104272272401 is a wasteful number, since it uses less digits than its factorization.

104272272401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28638703.

The product of its (nonzero) digits is 12544, while the sum is 32.

It can be divided in two parts, 104272 and 272401, that added together give a palindrome (376673).

The spelling of 104272272401 in words is "one hundred four billion, two hundred seventy-two million, two hundred seventy-two thousand, four hundred one".

Divisors: 1 11 331 3641 28638361 315021971 9479297491 104272272401