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13201155042255 = 32537409157912277
BaseRepresentation
bin1100000000011010001000…
…1010000010101111001111
31201202000111012012102212200
43000012202022002233033
53212241431142323010
644024305451132543
72531515633266465
oct300064212025717
951660435172780
1013201155042255
11422a63a960274
121592580144153
13749b2c38a73b
14338d21692835
1517d5d4215cc0
hexc01a2282bcf

13201155042255 has 96 divisors (see below), whose sum is σ = 23574732417600. Its totient is φ = 6828696078336.

The previous prime is 13201155042253. The next prime is 13201155042293. The reversal of 13201155042255 is 55224055110231.

13201155042255 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 11 + 550 + 42 + 2 + 55 = 666.

It is not a de Polignac number, because 13201155042255 - 21 = 13201155042253 is a prime.

It is a super-2 number, since 2×132011550422552 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13201155042253) 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, 1075269177 + ... + 1075281453.

It is an arithmetic number, because the mean of its divisors is an integer number (245570129350).

Almost surely, 213201155042255 is an apocalyptic number.

13201155042255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13201155042255 is a deficient number, since it is larger than the sum of its proper divisors (10373577375345).

13201155042255 is a wasteful number, since it uses less digits than its factorization.

13201155042255 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14313 (or 14310 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 13201155042255 in words is "thirteen trillion, two hundred one billion, one hundred fifty-five million, forty-two thousand, two hundred fifty-five".

Divisors: 1 3 5 9 15 37 45 111 185 333 409 555 1227 1579 1665 2045 3681 4737 6135 7895 12277 14211 15133 18405 23685 36831 45399 58423 61385 71055 75665 110493 136197 175269 184155 226995 292115 454249 525807 552465 645811 680985 876345 1362747 1937433 2271245 2629035 3229055 4088241 5021293 5812299 6813735 9687165 15063879 19385383 20441205 23895007 25106465 29061495 45191637 58156149 71685021 75319395 96926915 119475035 174468447 185787841 215055063 225958185 290780745 358425105 557363523 717259171 872342235 928939205 1075275315 1672090569 2151777513 2786817615 3586295855 6455332539 7928621647 8360452845 10758887565 23785864941 32276662695 39643108235 71357594823 118929324705 293359000939 356787974115 880077002817 1466795004695 2640231008451 4400385014085 13201155042255