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13044152521 = 18126312
BaseRepresentation
bin11000010010111110…
…11111100011001001
31020200001212121100001
430021133133203021
5203203300340041
65554205243001
7641150316121
oct141137374311
936601777301
1013044152521
1155940a1944
122640563461
1312cb59065a
148ba57dc81
15515274131
hex3097df8c9

13044152521 has 9 divisors (see below), whose sum is σ = 13137437799. Its totient is φ = 12951527400.

The previous prime is 13044152519. The next prime is 13044152543. The reversal of 13044152521 is 12525144031.

The square root of 13044152521 is 114211.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 143736121 + 12900416400 = 11989^2 + 113580^2 .

It is not a de Polignac number, because 13044152521 - 21 = 13044152519 is a prime.

It is a super-2 number, since 2×130441525212 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13044152521.

It is not an unprimeable number, because it can be changed into a prime (13044152591) 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 8 ways as a sum of consecutive naturals, for example, 20671876 + ... + 20672506.

It is an arithmetic number, because the mean of its divisors is an integer number (1459715311).

Almost surely, 213044152521 is an apocalyptic number.

13044152521 is the 114211-st square number.

13044152521 is the 57106-th centered octagonal number.

It is an amenable number.

13044152521 is a deficient number, since it is larger than the sum of its proper divisors (93285278).

13044152521 is an frugal number, since it uses more digits than its factorization.

13044152521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 13044152521 its reverse (12525144031), we get a palindrome (25569296552).

The spelling of 13044152521 in words is "thirteen billion, forty-four million, one hundred fifty-two thousand, five hundred twenty-one".

Divisors: 1 181 631 32761 114211 398161 20672191 72067141 13044152521