Search a number
-
+
12002100233220 = 2233522226111543
BaseRepresentation
bin1010111010100111010011…
…1010111100010000000100
31120111101112000001000011000
42232221310322330100010
53033120300124430340
641305404433213300
72346060142500306
oct256516472742004
946441460030130
1012002100233220
113908075762139
12141a107101230
13690a4085c936
142d6c948c9976
1515c3074d1d30
hexaea74ebc404

12002100233220 has 48 divisors (see below), whose sum is σ = 37339867393920. Its totient is φ = 3200560062048.

The previous prime is 12002100233219. The next prime is 12002100233231. The reversal of 12002100233220 is 2233200120021.

12002100233220 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 210 + 0 + 233 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12002100233193 and 12002100233202.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11113055232 + ... + 11113056311.

It is an arithmetic number, because the mean of its divisors is an integer number (777913904040).

Almost surely, 212002100233220 is an apocalyptic number.

12002100233220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002100233220 is an abundant number, since it is smaller than the sum of its proper divisors (25337767160700).

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

12002100233220 is a wasteful number, since it uses less digits than its factorization.

12002100233220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22226111561 (or 22226111553 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12002100233220 its reverse (2233200120021), we get a palindrome (14235300353241).

The spelling of 12002100233220 in words is "twelve trillion, two billion, one hundred million, two hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 22226111543 44452223086 66678334629 88904446172 111130557715 133356669258 200035003887 222261115430 266713338516 333391673145 400070007774 444522230860 600105011661 666783346290 800140015548 1000175019435 1200210023322 1333566692580 2000350038870 2400420046644 3000525058305 4000700077740 6001050116610 12002100233220