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13133231010 = 2325149979361
BaseRepresentation
bin11000011101100110…
…10011001110100010
31020220021111021001100
430032303103032202
5203344101343020
610011110415230
7643311423144
oct141663231642
936807437040
1013133231010
11562a403929
122666361516
131313b7c013
148c832ac94
1551cebca90
hex30ecd33a2

13133231010 has 48 divisors (see below), whose sum is σ = 34375606200. Its totient is φ = 3478686720.

The previous prime is 13133230967. The next prime is 13133231029. The reversal of 13133231010 is 1013233131.

It is a happy number.

13133231010 is a `hidden beast` number, since 1 + 313 + 32 + 310 + 10 = 666.

13133231010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3291202161 + 9842028849 = 57369^2 + 99207^2 .

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 476271 + ... + 503090.

Almost surely, 213133231010 is an apocalyptic number.

13133231010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13133231010 is an abundant number, since it is smaller than the sum of its proper divisors (21242375190).

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

13133231010 is a wasteful number, since it uses less digits than its factorization.

13133231010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979523 (or 979520 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13133231010 its reverse (1013233131), we get a palindrome (14146464141).

It can be divided in two parts, 1313 and 3231010, that added together give a palindrome (3232323).

The spelling of 13133231010 in words is "thirteen billion, one hundred thirty-three million, two hundred thirty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 149 298 447 745 894 1341 1490 2235 2682 4470 6705 13410 979361 1958722 2938083 4896805 5876166 8814249 9793610 14690415 17628498 29380830 44071245 88142490 145924789 291849578 437774367 729623945 875548734 1313323101 1459247890 2188871835 2626646202 4377743670 6566615505 13133231010