Search a number
-
+
13133121030 = 2335113430453
BaseRepresentation
bin11000011101100101…
…11000011000000110
31020220021021200012000
430032302320120012
5203344034333110
610011104210130
7643310454411
oct141662703006
936807250160
1013133121030
11562a339237
122666309946
131313b40c43
148c82dcb78
1551ce9a1c0
hex30ecb8606

13133121030 has 64 divisors (see below), whose sum is σ = 35331664320. Its totient is φ = 3471164928.

The previous prime is 13133121019. The next prime is 13133121031. The reversal of 13133121030 is 3012133131.

It is a happy number.

13133121030 is a `hidden beast` number, since 1 + 313 + 312 + 10 + 30 = 666.

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 = 13133120994 and 13133121012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13133121031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184717 + ... + 245736.

It is an arithmetic number, because the mean of its divisors is an integer number (552057255).

Almost surely, 213133121030 is an apocalyptic number.

13133121030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13133121030 is an abundant number, since it is smaller than the sum of its proper divisors (22198543290).

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

13133121030 is a wasteful number, since it uses less digits than its factorization.

13133121030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430582 (or 430576 counting only the distinct ones).

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

Adding to 13133121030 its reverse (3012133131), we get a palindrome (16145254161).

The spelling of 13133121030 in words is "thirteen billion, one hundred thirty-three million, one hundred twenty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 113 135 226 270 339 565 678 1017 1130 1695 2034 3051 3390 5085 6102 10170 15255 30510 430453 860906 1291359 2152265 2582718 3874077 4304530 6456795 7748154 11622231 12913590 19370385 23244462 38740770 48641189 58111155 97282378 116222310 145923567 243205945 291847134 437770701 486411890 729617835 875541402 1313312103 1459235670 2188853505 2626624206 4377707010 6566560515 13133121030