Search a number
-
+
112202220131330 = 257347696000373
BaseRepresentation
bin11001100000110000011101…
…011110010101010000000010
3112201021102112122020200012212
4121200300131132111100002
5104201310121323200310
61034344553252022122
732430225420005000
oct3140603536252002
9481242478220185
10112202220131330
113282977018175a
1210701660601942
134a7b815ab4474
141d9c88b6ada70
15ce8985a0b205
hex660c1d795402

112202220131330 has 64 divisors (see below), whose sum is σ = 240537729254400. Its totient is φ = 37650836123712.

The previous prime is 112202220131293. The next prime is 112202220131357. The reversal of 112202220131330 is 33131022202211.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 112202220131296 and 112202220131305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347838977 + ... + 348161396.

It is an arithmetic number, because the mean of its divisors is an integer number (3758402019600).

Almost surely, 2112202220131330 is an apocalyptic number.

112202220131330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112202220131330 is an abundant number, since it is smaller than the sum of its proper divisors (128335509123070).

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

112202220131330 is an equidigital number, since it uses as much as digits as its factorization.

112202220131330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696000448 (or 696000434 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 112202220131330 its reverse (33131022202211), we get a palindrome (145333242333541).

The spelling of 112202220131330 in words is "one hundred twelve trillion, two hundred two billion, two hundred twenty million, one hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 35 47 49 70 94 98 235 245 329 343 470 490 658 686 1645 1715 2303 3290 3430 4606 11515 16121 23030 32242 80605 161210 696000373 1392000746 3480001865 4872002611 6960003730 9744005222 24360013055 32712017531 34104018277 48720026110 65424035062 68208036554 163560087655 170520091385 228984122717 238728127939 327120175310 341040182770 457968245434 477456255878 1144920613585 1193640639695 1602888859019 2289841227170 2387281279390 3205777718038 8014444295095 11220222013133 16028888590190 22440444026266 56101110065665 112202220131330