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13132025445 = 35711175312619
BaseRepresentation
bin11000011101011101…
…01100111001100101
31020220012020000022210
430032232230321211
5203343244303240
610011024514033
7643265242320
oct141656547145
936805200283
1013132025445
1156297600a0
122665a7b919
131313849376
148c80d57b7
1551cd30780
hex30ebace65

13132025445 has 128 divisors (see below), whose sum is σ = 28262338560. Its totient is φ = 5039124480.

The previous prime is 13132025441. The next prime is 13132025447. The reversal of 13132025445 is 54452023131.

It is not a de Polignac number, because 13132025445 - 22 = 13132025441 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132025441) 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 127 ways as a sum of consecutive naturals, for example, 1034346 + ... + 1046964.

It is an arithmetic number, because the mean of its divisors is an integer number (220799520).

Almost surely, 213132025445 is an apocalyptic number.

13132025445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13132025445 is an abundant number, since it is smaller than the sum of its proper divisors (15130313115).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13132025445 is a wasteful number, since it uses less digits than its factorization.

13132025445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12715.

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 13132025445 its reverse (54452023131), we get a palindrome (67584048576).

The spelling of 13132025445 in words is "thirteen billion, one hundred thirty-two million, twenty-five thousand, four hundred forty-five".

Divisors: 1 3 5 7 11 15 17 21 33 35 51 53 55 77 85 105 119 159 165 187 231 255 265 357 371 385 561 583 595 795 901 935 1113 1155 1309 1749 1785 1855 2703 2805 2915 3927 4081 4505 5565 6307 6545 8745 9911 12243 12619 13515 18921 19635 20405 29733 31535 37857 49555 61215 63095 69377 88333 94605 138809 148665 189285 208131 214523 264999 346885 416427 441665 643569 668807 694045 971663 1040655 1072615 1324995 1501661 2006421 2082135 2359753 2914989 3217845 3344035 4504983 4681649 4858315 7079259 7356877 7508305 10032105 11369719 11798765 14044947 14574945 16518271 22070631 22524915 23408245 34109157 35396295 36784385 49554813 51498139 56848595 70224735 79588033 82591355 110353155 125066909 154494417 170545785 238764099 247774065 257490695 375200727 397940165 625334545 772472085 875468363 1193820495 1876003635 2626405089 4377341815 13132025445