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135532310151123 = 321743751118123227
BaseRepresentation
bin11110110100010000010011…
…001100111011111111010011
3122202212202120201120212101100
4132310100103030323333103
5120231030132344313443
61200130403404235443
740355612664122514
oct3664202314737723
9582782521525340
10135532310151123
113a203a2583aa16
121324b0a053bb83
135a81846649a22
142567b27d24a0b
1510a078e2513d3
hex7b441333bfd3

135532310151123 has 96 divisors (see below), whose sum is σ = 212576703685632. Its totient is φ = 82877800320000.

The previous prime is 135532310151109. The next prime is 135532310151131. The reversal of 135532310151123 is 321151013235531.

135532310151123 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 32 + 3 + 101 + 511 + 2 + 3 = 666.

It is not a de Polignac number, because 135532310151123 - 233 = 135523720216531 is a prime.

It is a super-2 number, since 2×1355323101511232 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135532310131123) 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, 5835107436 + ... + 5835130662.

It is an arithmetic number, because the mean of its divisors is an integer number (2214340663392).

Almost surely, 2135532310151123 is an apocalyptic number.

135532310151123 is a deficient number, since it is larger than the sum of its proper divisors (77044393534509).

135532310151123 is a wasteful number, since it uses less digits than its factorization.

135532310151123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25225 (or 25222 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

Adding to 135532310151123 its reverse (321151013235531), we get a palindrome (456683323386654).

The spelling of 135532310151123 in words is "one hundred thirty-five trillion, five hundred thirty-two billion, three hundred ten million, one hundred fifty-one thousand, one hundred twenty-three".

Divisors: 1 3 9 17 43 51 129 153 387 731 751 1181 2193 2253 3543 6579 6759 10629 12767 20077 23227 32293 38301 50783 60231 69681 96879 114903 152349 180693 209043 290637 394859 457047 548981 863311 886931 998761 1184577 1646943 2589933 2660793 2996283 3553731 4940829 7769799 7982379 8988849 15077827 16978937 17443477 27431087 38138033 45233481 50936811 52330431 82293261 114414099 135700443 152810433 156991293 246879783 296539109 343242297 466328479 648346561 750069511 889617327 1179536741 1398985437 1945039683 2250208533 2668851981 3538610223 4196956311 5835119049 6750625599 10615830669 12751181687 20052124597 20600746337 38253545061 60156373791 61802239011 114760635183 180469121373 185406717033 350212687729 885832092491 1050638063187 2657496277473 3151914189561 7972488832419 15059145572347 45177436717041 135532310151123