Search a number
-
+
13133961030 = 235437798701
BaseRepresentation
bin11000011101101100…
…00101011101000110
31020220022212100110010
430032312011131012
5203344243223110
610011134211050
7643320553401
oct141666053506
936808770403
1013133961030
11562a862353
122666653a86
131314076398
148c847ad38
1551d0b4020
hex30ed85746

13133961030 has 16 divisors (see below), whose sum is σ = 31521506544. Its totient is φ = 3502389600.

The previous prime is 13133960999. The next prime is 13133961037. The reversal of 13133961030 is 3016933131.

13133961030 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 (30), and also a Moran number because the ratio is a prime number: 437798701 = 13133961030 / (1 + 3 + 1 + 3 + 3 + 9 + 6 + 1 + 0 + 3 + 0).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13133961037) 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 7 ways as a sum of consecutive naturals, for example, 218899321 + ... + 218899380.

It is an arithmetic number, because the mean of its divisors is an integer number (1970094159).

Almost surely, 213133961030 is an apocalyptic number.

13133961030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13133961030 is an abundant number, since it is smaller than the sum of its proper divisors (18387545514).

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

13133961030 is a wasteful number, since it uses less digits than its factorization.

13133961030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437798711.

The product of its (nonzero) digits is 4374, while the sum is 30.

It can be divided in two parts, 131 and 33961030, that added together give a triangular number (33961161 = T8241).

The spelling of 13133961030 in words is "thirteen billion, one hundred thirty-three million, nine hundred sixty-one thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 437798701 875597402 1313396103 2188993505 2626792206 4377987010 6566980515 13133961030