Search a number
-
+
13402130022 = 233353703081
BaseRepresentation
bin11000111101101010…
…00100011001100110
31021121000110202011000
430132311010121212
5204421421130042
610053514054130
7653055140241
oct143665043146
937530422130
1013402130022
115758175716
12272041a346
1313577aa968
14911d26258
155368d674c
hex31ed44666

13402130022 has 32 divisors (see below), whose sum is σ = 29866923360. Its totient is φ = 4454714880.

The previous prime is 13402130017. The next prime is 13402130023. The reversal of 13402130022 is 22003120431.

13402130022 is a `hidden beast` number, since 1 + 340 + 2 + 1 + 300 + 22 = 666.

13402130022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13402129977 and 13402130004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13402130023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332479 + ... + 370602.

It is an arithmetic number, because the mean of its divisors is an integer number (933341355).

Almost surely, 213402130022 is an apocalyptic number.

13402130022 is an abundant number, since it is smaller than the sum of its proper divisors (16464793338).

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

13402130022 is a wasteful number, since it uses less digits than its factorization.

13402130022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703445 (or 703439 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13402130022 its reverse (22003120431), we get a palindrome (35405250453).

The spelling of 13402130022 in words is "thirteen billion, four hundred two million, one hundred thirty thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 353 706 1059 2118 3177 6354 9531 19062 703081 1406162 2109243 4218486 6327729 12655458 18983187 37966374 248187593 496375186 744562779 1489125558 2233688337 4467376674 6701065011 13402130022