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133021132112022 = 237211233317630551
BaseRepresentation
bin11110001111101101100101…
…010100111100000010010110
3122102222200210102002002012120
4132033231211110330002112
5114413404234310041042
61150525021532000410
740006313442021600
oct3617554524740226
9572880712062176
10133021132112022
1139425a442504a0
1212b04478000106
13592baba1a4a8b
1424bc385878170
15105a2b9133dec
hex78fb6553c096

133021132112022 has 96 divisors (see below), whose sum is σ = 337756806284544. Its totient is φ = 34536131784000.

The previous prime is 133021132111963. The next prime is 133021132112039. The reversal of 133021132112022 is 220211231120331.

It is a junction number, because it is equal to n+sod(n) for n = 133021132111983 and 133021132112001.

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, 1270354 + ... + 16360197.

It is an arithmetic number, because the mean of its divisors is an integer number (3518300065464).

Almost surely, 2133021132112022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133021132112022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168878403142272).

133021132112022 is an abundant number, since it is smaller than the sum of its proper divisors (204735674172522).

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

133021132112022 is a wasteful number, since it uses less digits than its factorization.

133021132112022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17632914 (or 17632907 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 133021132112022 its reverse (220211231120331), we get a palindrome (353232363232353).

The spelling of 133021132112022 in words is "one hundred thirty-three trillion, twenty-one billion, one hundred thirty-two million, one hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 462 539 1078 1617 2333 3234 4666 6999 13998 16331 25663 32662 48993 51326 76989 97986 114317 153978 179641 228634 342951 359282 538923 685902 1077846 1257487 2514974 3772461 7544922 17630551 35261102 52891653 105783306 123413857 193936061 246827714 370241571 387872122 581808183 740483142 863896999 1163616366 1357552427 1727793998 2591690997 2715104854 4072657281 5183381994 8145314562 9502866989 19005733978 28508600967 41132075483 57017201934 82264150966 123396226449 246792452898 287924528381 452452830313 575849056762 863773585143 904905660626 1357358490939 1727547170286 2015471698667 2714716981878 3167169812191 4030943397334 6046415096001 6334339624382 9501509436573 12092830192002 19003018873146 22170188685337 44340377370674 66510566056011 133021132112022