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3135020501142 = 23241101228118439
BaseRepresentation
bin101101100111101101110…
…010001000100010010110
3102002201000222011101220200
4231213231302020202112
5402331010222014032
610400113013241330
7442332505403025
oct55475562104226
912081028141820
103135020501142
11aa9611385702
12427708033246
1319982889086a
14aba4307c8bc
155683820d47c
hex2d9edc88896

3135020501142 has 96 divisors (see below), whose sum is σ = 7030571446080. Its totient is φ = 1008927360000.

The previous prime is 3135020501111. The next prime is 3135020501153. The reversal of 3135020501142 is 2411050205313.

3135020501142 is a `hidden beast` number, since 3 + 13 + 5 + 0 + 2 + 0 + 501 + 142 = 666.

3135020501142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170011959 + ... + 170030397.

It is an arithmetic number, because the mean of its divisors is an integer number (73235119230).

Almost surely, 23135020501142 is an apocalyptic number.

3135020501142 is an abundant number, since it is smaller than the sum of its proper divisors (3895550944938).

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

3135020501142 is a wasteful number, since it uses less digits than its factorization.

3135020501142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20870 (or 20867 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 3135020501142 its reverse (2411050205313), we get a palindrome (5546070706455).

The spelling of 3135020501142 in words is "three trillion, one hundred thirty-five billion, twenty million, five hundred one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 41 82 101 123 202 246 303 369 606 738 909 1818 2281 4141 4562 6843 8282 12423 13686 18439 20529 24846 36878 37269 41058 55317 74538 93521 110634 165951 187042 230381 280563 331902 460762 561126 691143 755999 841689 1382286 1511998 1683378 1862339 2073429 2267997 3724678 4146858 4535994 5587017 6803991 9445621 11174034 13607982 16761051 18891242 28336863 33522102 42059359 56673726 76355899 84118718 85010589 126178077 152711798 170021178 229067697 252356154 378534231 458135394 687203091 757068462 1374406182 1724433719 3448867438 4247995259 5173301157 8495990518 10346602314 12743985777 15519903471 25487971554 31039806942 38231957331 76463914662 174167805619 348335611238 522503416857 1045006833714 1567510250571 3135020501142