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133122011322132 = 223272163462981551
BaseRepresentation
bin11110010001001011100010…
…001100100101011100010100
3122110100100011212002220222200
4132101023202030211130110
5114422032334344302012
61151043224023324500
740016514353120100
oct3621134214453424
9573310155086880
10133122011322132
11394648009a9118
1212b1bb302b0730
135938475bac091
1424c31d55a2900
15105cc206403dc
hex7912e2325714

133122011322132 has 108 divisors (see below), whose sum is σ = 393843590876736. Its totient is φ = 37801517594400.

The previous prime is 133122011322077. The next prime is 133122011322163. The reversal of 133122011322132 is 231223110221331.

133122011322132 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 2 + 201 + 1 + 322 + 132 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 133122011322096 and 133122011322105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 231203244 + ... + 231778307.

Almost surely, 2133122011322132 is an apocalyptic number.

133122011322132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133122011322132 is an abundant number, since it is smaller than the sum of its proper divisors (260721579554604).

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

133122011322132 is a wasteful number, since it uses less digits than its factorization.

133122011322132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462981738 (or 462981726 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 133122011322132 its reverse (231223110221331), we get a palindrome (364345121543463).

The spelling of 133122011322132 in words is "one hundred thirty-three trillion, one hundred twenty-two billion, eleven million, three hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 163 196 252 294 326 441 489 588 652 882 978 1141 1467 1764 1956 2282 2934 3423 4564 5868 6846 7987 10269 13692 15974 20538 23961 31948 41076 47922 71883 95844 143766 287532 462981551 925963102 1388944653 1851926204 2777889306 3240870857 4166833959 5555778612 6481741714 8333667918 9722612571 12963483428 16667335836 19445225142 22686095999 29167837713 38890450284 45372191998 58335675426 68058287997 75465992813 90744383996 116671350852 136116575994 150931985626 204174863991 226397978439 272233151988 301863971252 408349727982 452795956878 528261949691 679193935317 816699455964 905591913756 1056523899382 1358387870634 1584785849073 2113047798764 2716775741268 3169571698146 3697833647837 4754357547219 6339143396292 7395667295674 9508715094438 11093500943511 14791334591348 19017430188876 22187001887022 33280502830533 44374003774044 66561005661066 133122011322132