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13132241430165 = 32511132970370771
BaseRepresentation
bin1011111100011001011010…
…0101011110011010010101
31201111102121111002020001100
42333012112211132122111
53210124312301231130
643532511325220313
72523526120250514
oct277062645363225
951442544066040
1013132241430165
114203396a26550
121581149101699
13743499039090
1433586507467b
1517b8ee19cc60
hexbf19695e695

13132241430165 has 96 divisors (see below), whose sum is σ = 27664157888640. Its totient is φ = 5674698892800.

The previous prime is 13132241430163. The next prime is 13132241430197. The reversal of 13132241430165 is 56103414223131.

13132241430165 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 22 + 41 + 430 + 165 = 666.

It is not a de Polignac number, because 13132241430165 - 21 = 13132241430163 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132241430163) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34998771 + ... + 35372000.

It is an arithmetic number, because the mean of its divisors is an integer number (288168311340).

Almost surely, 213132241430165 is an apocalyptic number.

13132241430165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13132241430165 is an abundant number, since it is smaller than the sum of its proper divisors (14531916458475).

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

13132241430165 is a wasteful number, since it uses less digits than its factorization.

13132241430165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70370835 (or 70370832 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 13132241430165 its reverse (56103414223131), we get a palindrome (69235655653296).

The spelling of 13132241430165 in words is "thirteen trillion, one hundred thirty-two billion, two hundred forty-one million, four hundred thirty thousand, one hundred sixty-five".

Divisors: 1 3 5 9 11 13 15 29 33 39 45 55 65 87 99 117 143 145 165 195 261 319 377 429 435 495 585 715 957 1131 1287 1305 1595 1885 2145 2871 3393 4147 4785 5655 6435 12441 14355 16965 20735 37323 62205 186615 70370771 211112313 351853855 633336939 774078481 914820023 1055561565 2040752359 2322235443 2744460069 3166684695 3870392405 4574100115 6122257077 6966706329 8233380207 10063020253 10203761795 11611177215 13722300345 18366771231 22448275949 26529780667 30189060759 30611285385 34833531645 41166901035 50315101265 67344827847 79589342001 90567182277 91833856155 112241379745 132648903335 150945303795 202034483541 238768026003 291827587337 336724139235 397946710005 452835911385 875482762011 1010172417705 1193840130015 1459137936685 2626448286033 4377413810055 13132241430165