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13051252133 = 1922961107191
BaseRepresentation
bin11000010011110101…
…00100110110100101
31020200120020022011122
430021322210312211
5203212110032013
65555021343325
7641264545523
oct141172446645
936616208148
1013051252133
115598100997
122642a07b45
1312ccba7cca
148bb4ab313
15515bc7a08
hex309ea4da5

13051252133 has 48 divisors (see below), whose sum is σ = 14694773760. Its totient is φ = 11571638400.

The previous prime is 13051252103. The next prime is 13051252141. The reversal of 13051252133 is 33125215031.

13051252133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13051252133 - 28 = 13051251877 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13051252103) 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 47 ways as a sum of consecutive naturals, for example, 68331068 + ... + 68331258.

It is an arithmetic number, because the mean of its divisors is an integer number (306141120).

Almost surely, 213051252133 is an apocalyptic number.

It is an amenable number.

13051252133 is a deficient number, since it is larger than the sum of its proper divisors (1643521627).

13051252133 is a wasteful number, since it uses less digits than its factorization.

13051252133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

Adding to 13051252133 its reverse (33125215031), we get a palindrome (46176467164).

The spelling of 13051252133 in words is "thirteen billion, fifty-one million, two hundred fifty-two thousand, one hundred thirty-three".

Divisors: 1 19 29 61 107 191 361 551 1159 1769 2033 3103 3629 5539 6527 10469 11651 20437 22021 33611 38627 58957 68951 105241 124013 189283 221369 337879 388303 592673 638609 1120183 1246657 1999579 2356247 3596377 4206011 6419701 7377757 11260787 23686483 36153053 68331163 121974319 213954953 450043177 686908007 13051252133