Search a number
-
+
13006001050 = 252738995527
BaseRepresentation
bin11000001110011011…
…11101001110011010
31020120102002022100121
430013031331032122
5203114014013200
65550323423454
7640205120260
oct140715751632
936512068317
1013006001050
1155746040a9
12262b824b8a
1312c36c3313
148b548c430
15511c39e1a
hex30737d39a

13006001050 has 48 divisors (see below), whose sum is σ = 27718404480. Its totient is φ = 4447690560.

The previous prime is 13006001033. The next prime is 13006001053. The reversal of 13006001050 is 5010060031.

It is a super-2 number, since 2×130060010502 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13006001053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88387 + ... + 183913.

It is an arithmetic number, because the mean of its divisors is an integer number (577466760).

Almost surely, 213006001050 is an apocalyptic number.

13006001050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13006001050 is an abundant number, since it is smaller than the sum of its proper divisors (14712403430).

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

13006001050 is a wasteful number, since it uses less digits than its factorization.

13006001050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95935 (or 95930 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

Adding to 13006001050 its reverse (5010060031), we get a palindrome (18016061081).

The spelling of 13006001050 in words is "thirteen billion, six million, one thousand, fifty".

Divisors: 1 2 5 7 10 14 25 35 50 70 175 350 389 778 1945 2723 3890 5446 9725 13615 19450 27230 68075 95527 136150 191054 477635 668689 955270 1337378 2388175 3343445 4776350 6686890 16717225 33434450 37160003 74320006 185800015 260120021 371600030 520240042 929000075 1300600105 1858000150 2601200210 6503000525 13006001050