Search a number
-
+
10002120002220 = 2235189138814149
BaseRepresentation
bin1001000110001100110011…
…0011110100101010101100
31022102012012221101112011010
42101203030303310222230
52302333320210032340
633134524400025220
72051425600146633
oct221431463645254
938365187345133
1010002120002220
113206969a94075
121156589902210
1357727142a7c8
1426816890451a
151252a110bb80
hex918cccf4aac

10002120002220 has 48 divisors (see below), whose sum is σ = 28007419960800. Its totient is φ = 2667090671616.

The previous prime is 10002120002209. The next prime is 10002120002299. The reversal of 10002120002220 is 2220002120001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10002120002196 and 10002120002205.

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, 3272295 + ... + 5541854.

It is an arithmetic number, because the mean of its divisors is an integer number (583487915850).

Almost surely, 210002120002220 is an apocalyptic number.

10002120002220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002120002220 is an abundant number, since it is smaller than the sum of its proper divisors (18005299958580).

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

10002120002220 is a wasteful number, since it uses less digits than its factorization.

10002120002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8833074 (or 8833072 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10002120002220 its reverse (2220002120001), we get a palindrome (12222122122221).

The spelling of 10002120002220 in words is "ten trillion, two billion, one hundred twenty million, two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 18913 37826 56739 75652 94565 113478 189130 226956 283695 378260 567390 1134780 8814149 17628298 26442447 35256596 44070745 52884894 88141490 105769788 132212235 176282980 264424470 528848940 166702000037 333404000074 500106000111 666808000148 833510000185 1000212000222 1667020000370 2000424000444 2500530000555 3334040000740 5001060001110 10002120002220