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13102133415 = 3573110737619
BaseRepresentation
bin11000011001111001…
…01011000010100111
31020211002222100011120
430030330223002213
5203313121232130
610004040105023
7642453203460
oct141474530247
936732870146
1013102133415
1156138a3838
122657a65173
13130a5b1587
148c4153d67
1551a3c8910
hex30cf2b0a7

13102133415 has 64 divisors (see below), whose sum is σ = 24962826240. Its totient is φ = 5742011520.

The previous prime is 13102133383. The next prime is 13102133423. The reversal of 13102133415 is 51433120131.

13102133415 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 13102133415 - 25 = 13102133383 is a prime.

It is a super-3 number, since 3×131021334153 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 329476 + ... + 367094.

It is an arithmetic number, because the mean of its divisors is an integer number (390044160).

Almost surely, 213102133415 is an apocalyptic number.

13102133415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13102133415 is a deficient number, since it is larger than the sum of its proper divisors (11860692825).

13102133415 is a wasteful number, since it uses less digits than its factorization.

13102133415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37772.

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 13102133415 its reverse (51433120131), we get a palindrome (64535253546).

The spelling of 13102133415 in words is "thirteen billion, one hundred two million, one hundred thirty-three thousand, four hundred fifteen".

Divisors: 1 3 5 7 15 21 31 35 93 105 107 155 217 321 465 535 651 749 1085 1605 2247 3255 3317 3745 9951 11235 16585 23219 37619 49755 69657 112857 116095 188095 263333 348285 564285 789999 1166189 1316665 3498567 3949995 4025233 5830945 8163323 12075699 17492835 20126165 24489969 28176631 40816615 60378495 84529893 122449845 124782223 140883155 374346669 422649465 623911115 873475561 1871733345 2620426683 4367377805 13102133415