Search a number
-
+
1401125121 = 35112931789
BaseRepresentation
bin101001110000011…
…0111100100000001
310121122110112100000
41103200313210001
510332142000441
6351010550213
746502236614
oct12340674401
93548415300
101401125121
11659998050
12331298369
13194383926
14d412617b
15830182b6
hex53837901

1401125121 has 48 divisors (see below), whose sum is σ = 2298703680. Its totient is φ = 845795520.

The previous prime is 1401125083. The next prime is 1401125149. The reversal of 1401125121 is 1215211041.

1401125121 is a `hidden beast` number, since 1 + 40 + 112 + 512 + 1 = 666.

It is not a de Polignac number, because 1401125121 - 27 = 1401124993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1401125094 and 1401125103.

It is not an unprimeable number, because it can be changed into a prime (1401125221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 782295 + ... + 784083.

It is an arithmetic number, because the mean of its divisors is an integer number (47889660).

Almost surely, 21401125121 is an apocalyptic number.

1401125121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1401125121 is a deficient number, since it is larger than the sum of its proper divisors (897578559).

1401125121 is a wasteful number, since it uses less digits than its factorization.

1401125121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 1401125121 is about 37431.6059099793. The cubic root of 1401125121 is about 1118.9885428895.

Adding to 1401125121 its reverse (1215211041), we get a palindrome (2616336162).

The spelling of 1401125121 in words is "one billion, four hundred one million, one hundred twenty-five thousand, one hundred twenty-one".

Divisors: 1 3 9 11 27 33 81 99 243 293 297 879 891 1789 2637 2673 3223 5367 7911 9669 16101 19679 23733 29007 48303 59037 71199 87021 144909 177111 261063 434727 524177 531333 783189 1572531 1593999 4717593 4781997 5765947 14152779 17297841 42458337 51893523 127375011 155680569 467041707 1401125121