Search a number
-
+
2154400001 = 13215781197
BaseRepresentation
bin1000000001101001…
…1000100100000001
312120010212212012122
42000122120210001
513403011300001
6553440134025
7104250045365
oct20032304401
95503785178
102154400001
11a06114676
12501607315
13284456c00
141661ab2a5
15c9210b1b
hex80698901

2154400001 has 12 divisors (see below), whose sum is σ = 2347758972. Its totient is φ = 1975985856.

The previous prime is 2154399991. The next prime is 2154400007. The reversal of 2154400001 is 1000044512.

It can be written as a sum of positive squares in 6 ways, for example, as 392079601 + 1762320400 = 19801^2 + 41980^2 .

It is a de Polignac number, because none of the positive numbers 2k-2154400001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2154400007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14066 + ... + 67131.

It is an arithmetic number, because the mean of its divisors is an integer number (195646581).

Almost surely, 22154400001 is an apocalyptic number.

It is an amenable number.

2154400001 is a deficient number, since it is larger than the sum of its proper divisors (193358971).

2154400001 is a wasteful number, since it uses less digits than its factorization.

2154400001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81380 (or 81367 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 2154400001 is about 46415.5146583553. The cubic root of 2154400001 is about 1291.5427331349.

Adding to 2154400001 its reverse (1000044512), we get a palindrome (3154444513).

The spelling of 2154400001 in words is "two billion, one hundred fifty-four million, four hundred thousand, one".

Divisors: 1 13 157 169 2041 26533 81197 1055561 12747929 13722293 165723077 2154400001