Search a number
-
+
13055040002511 = 331397641598193
BaseRepresentation
bin1011110111111001110100…
…0001011001100111001111
31201020001100011222100121000
42331332131001121213033
53202343210220040021
643433222542511343
72515124030040123
oct275763501314717
951201304870530
1013055040002511
11418367a812281
12156a1a2595553
13739114951740
14331c1dc6b583
151798d1735b26
hexbdf9d0599cf

13055040002511 has 64 divisors (see below), whose sum is σ = 21076145274240. Its totient is φ = 7938629959680.

The previous prime is 13055040002453. The next prime is 13055040002533. The reversal of 13055040002511 is 11520004055031.

13055040002511 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 5 + 0 + 400 + 0 + 251 + 1 = 666.

It is not a de Polignac number, because 13055040002511 - 29 = 13055040001999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13055040002551) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21525031 + ... + 22123223.

It is an arithmetic number, because the mean of its divisors is an integer number (329314769910).

Almost surely, 213055040002511 is an apocalyptic number.

13055040002511 is a deficient number, since it is larger than the sum of its proper divisors (8021105271729).

13055040002511 is a wasteful number, since it uses less digits than its factorization.

13055040002511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598953 (or 598947 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 13055040002511 its reverse (11520004055031), we get a palindrome (24575044057542).

The spelling of 13055040002511 in words is "thirteen trillion, fifty-five billion, forty million, two thousand, five hundred eleven".

Divisors: 1 3 9 13 27 39 97 117 291 351 641 873 1261 1923 2619 3783 5769 8333 11349 17307 24999 34047 62177 74997 186531 224991 559593 598193 808301 1678779 1794579 2424903 5383737 7274709 7776509 16151211 21824127 23329527 58024721 69988581 174074163 209965743 383441713 522222489 754321373 1150325139 1566667467 2262964119 3450975417 4984742269 6788892357 10352926251 14954226807 20366677071 37193846161 44862680421 111581538483 134588041263 334744615449 483520000093 1004233846347 1450560000279 4351680000837 13055040002511