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2132131001112 = 23347607977323
BaseRepresentation
bin11111000001101100111…
…010010011001100011000
321112211101212122011120000
4133001230322103030120
5234413101014013422
64311253142533000
7310020123324450
oct37015472231430
97484355564500
102132131001112
11752260402662
122a527a437160
1312609ca8c5b8
14752a4d94d60
153a6dce7dcac
hex1f06ce93318

2132131001112 has 160 divisors (see below), whose sum is σ = 6826286438400. Its totient is φ = 609072198336.

The previous prime is 2132131001083. The next prime is 2132131001123. The reversal of 2132131001112 is 2111001312312.

2132131001112 is a `hidden beast` number, since 21 + 321 + 310 + 0 + 1 + 1 + 12 = 666.

It is a super-3 number, since 3×21321310011123 (a number of 38 digits) contains 333 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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27535683 + ... + 27613005.

It is an arithmetic number, because the mean of its divisors is an integer number (42664290240).

Almost surely, 22132131001112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132131001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3413143219200).

2132131001112 is an abundant number, since it is smaller than the sum of its proper divisors (4694155437288).

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

2132131001112 is a wasteful number, since it uses less digits than its factorization.

2132131001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83427 (or 83414 counting only the distinct ones).

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

Adding to 2132131001112 its reverse (2111001312312), we get a palindrome (4243132313424).

The spelling of 2132131001112 in words is "two trillion, one hundred thirty-two billion, one hundred thirty-one million, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 6079 12158 18237 24316 36474 42553 48632 54711 72948 77323 85106 109422 127659 145896 154646 164133 170212 218844 231969 255318 309292 328266 340424 382977 437688 463938 492399 510636 541261 618584 656532 695907 765954 927876 984798 1021272 1082522 1148931 1313064 1391814 1531908 1623783 1855752 1969596 2087721 2165044 2297862 2783628 3063816 3247566 3446793 3939192 4175442 4330088 4595724 4871349 5567256 6263163 6495132 6893586 8350884 9191448 9742698 12526326 12990264 13787172 14614047 16701768 19485396 25052652 27574344 29228094 38970792 43842141 50105304 58456188 87684282 116912376 175368564 350737128 470046517 940093034 1410139551 1880186068 2820279102 3290325619 3760372136 4230418653 5640558204 6580651238 8460837306 9870976857 11281116408 12691255959 13161302476 16921674612 19741953714 25382511918 26322604952 29612930571 33843349224 38073767877 39483907428 50765023836 59225861142 76147535754 78967814856 88838791713 101530047672 118451722284 152295071508 177677583426 236903444568 266516375139 304590143016 355355166852 533032750278 710710333704 1066065500556 2132131001112