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13045303125 = 355541419
BaseRepresentation
bin11000010011000111…
…11000011101010101
31020200011001001200000
430021203320131111
5203204044200000
65554250041513
7641163150501
oct141143703525
936604031600
1013045303125
115594808358
122640a19299
1312cb8a429a
148ba79d301
15515400000
hex3098f8755

13045303125 has 144 divisors (see below), whose sum is σ = 25080269760. Its totient is φ = 6771600000.

The previous prime is 13045303123. The next prime is 13045303129. The reversal of 13045303125 is 52130354031.

13045303125 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 530 + 3 + 125 = 666.

13045303125 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 13045303125 - 21 = 13045303123 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (13045303121) 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 143 ways as a sum of consecutive naturals, for example, 31134166 + ... + 31134584.

It is an arithmetic number, because the mean of its divisors is an integer number (174168540).

Almost surely, 213045303125 is an apocalyptic number.

13045303125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13045303125 is a deficient number, since it is larger than the sum of its proper divisors (12034966635).

13045303125 is an frugal number, since it uses more digits than its factorization.

13045303125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 13045303125 its reverse (52130354031), we get a palindrome (65175657156).

The spelling of 13045303125 in words is "thirteen billion, forty-five million, three hundred three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 41 45 75 81 123 125 135 205 225 243 369 375 405 419 615 625 675 1025 1107 1125 1215 1257 1845 1875 2025 2095 3075 3125 3321 3375 3771 5125 5535 5625 6075 6285 9225 9375 9963 10125 10475 11313 15375 16605 16875 17179 18855 25625 27675 28125 30375 31425 33939 46125 49815 50625 51537 52375 56565 76875 83025 84375 85895 94275 101817 128125 138375 151875 154611 157125 169695 230625 249075 253125 257685 261875 282825 384375 415125 429475 463833 471375 509085 691875 759375 773055 785625 848475 1153125 1245375 1288425 1309375 1391499 1414125 2075625 2147375 2319165 2356875 2545425 3459375 3865275 3928125 4174497 4242375 6226875 6442125 6957495 7070625 10378125 10736875 11595825 11784375 12727125 19326375 20872485 21211875 31134375 32210625 34787475 35353125 53684375 57979125 63635625 96631875 104362425 106059375 161053125 173937375 289895625 318178125 483159375 521812125 869686875 1449478125 2609060625 4348434375 13045303125