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13101321021012 = 22327214639507347
BaseRepresentation
bin1011111010100110001110…
…0101011110011001010100
31201101110210120212200200100
42332221203211132121110
53204123001140133022
643510355213414100
72521352643151200
oct276514345363124
951343716780610
1013101321021012
1141a126a1904a4
121577159a9a330
137405ac082ba3
143341706b9b00
1517abde8651ac
hexbea6395e654

13101321021012 has 108 divisors (see below), whose sum is σ = 38526830072640. Its totient is φ = 3742971496992.

The previous prime is 13101321020959. The next prime is 13101321021017. The reversal of 13101321021012 is 21012012310131.

13101321021012 is a `hidden beast` number, since 1 + 310 + 1 + 321 + 0 + 21 + 0 + 12 = 666.

It is a super-2 number, since 2×131013210210122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101321021017) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25569523 + ... + 26076869.

It is an arithmetic number, because the mean of its divisors is an integer number (356729908080).

Almost surely, 213101321021012 is an apocalyptic number.

13101321021012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13101321021012 is an abundant number, since it is smaller than the sum of its proper divisors (25425509051628).

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

13101321021012 is a wasteful number, since it uses less digits than its factorization.

13101321021012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522010 (or 521998 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 13101321021012 its reverse (21012012310131), we get a palindrome (34113333331143).

The spelling of 13101321021012 in words is "thirteen trillion, one hundred one billion, three hundred twenty-one million, twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 14639 29278 43917 58556 87834 102473 131751 175668 204946 263502 307419 409892 507347 527004 614838 717311 922257 1014694 1229676 1434622 1522041 1844514 2029388 2151933 2869244 3044082 3551429 3689028 4303866 4566123 6088164 6455799 7102858 8607732 9132246 10654287 12911598 14205716 18264492 21308574 24860003 25823196 31962861 42617148 49720006 63925722 74580009 99440012 127851444 149160018 223740027 298320036 447480054 894960108 7427052733 14854105466 22281158199 29708210932 44562316398 51989369131 66843474597 89124632796 103978738262 133686949194 155968107393 207957476524 267373898388 311936214786 363925583917 467904322179 623872429572 727851167834 935808644358 1091776751751 1455702335668 1871617288716 2183553503502 3275330255253 4367107007004 6550660510506 13101321021012