Search a number
-
+
103122233002200 = 23352171870388337
BaseRepresentation
bin10111011100101000000100…
…000100010000100011011000
3111112010101111201112200101110
4113130220010010100203120
5102004023313122032300
61003153411055420320
730502223031602256
oct2734500404204330
9445111451480343
10103122233002200
112a948991158635
12b6959432246a0
134570500678189
141b671dd83d5d6
15bdc6a5054550
hex5dca041108d8

103122233002200 has 48 divisors (see below), whose sum is σ = 319678922308680. Its totient is φ = 27499262133760.

The previous prime is 103122233002163. The next prime is 103122233002211. The reversal of 103122233002200 is 2200332221301.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85935193569 + ... + 85935194768.

Almost surely, 2103122233002200 is an apocalyptic number.

103122233002200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103122233002200 is an abundant number, since it is smaller than the sum of its proper divisors (216556689306480).

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

103122233002200 is a wasteful number, since it uses less digits than its factorization.

103122233002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171870388356 (or 171870388347 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 103122233002200 its reverse (2200332221301), we get a palindrome (105322565223501).

The spelling of 103122233002200 in words is "one hundred three trillion, one hundred twenty-two billion, two hundred thirty-three million, two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 171870388337 343740776674 515611165011 687481553348 859351941685 1031222330022 1374963106696 1718703883370 2062444660044 2578055825055 3437407766740 4124889320088 4296759708425 5156111650110 6874815533480 8593519416850 10312223300220 12890279125275 17187038833700 20624446600440 25780558250550 34374077667400 51561116501100 103122233002200