Search a number
-
+
12200100010100 = 2252793715371173
BaseRepresentation
bin1011000110001000111010…
…1000001001100001110100
31121012022120221112211100122
42301202032220021201310
53044341301100310400
641540352031431112
72366266565023112
oct261421650114164
947168527484318
1012200100010100
113984040444082
121450564985498
136a6606657022
143026b9094ab2
1516254504c685
hexb188ea09874

12200100010100 has 36 divisors (see below), whose sum is σ = 26477554289004. Its totient is φ = 4879424839680.

The previous prime is 12200100010069. The next prime is 12200100010157. The reversal of 12200100010100 is 101000100221.

It can be written as a sum of positive squares in 6 ways, for example, as 3465509881744 + 8734590128356 = 1861588^2 + 2955434^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6891887 + ... + 8479286.

It is an arithmetic number, because the mean of its divisors is an integer number (735487619139).

Almost surely, 212200100010100 is an apocalyptic number.

12200100010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200100010100 is an abundant number, since it is smaller than the sum of its proper divisors (14277454278904).

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

12200100010100 is a wasteful number, since it uses less digits than its factorization.

12200100010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15379124 (or 15379117 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12200100010100 its reverse (101000100221), we get a palindrome (12301100110321).

The spelling of 12200100010100 in words is "twelve trillion, two hundred billion, one hundred million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 7937 15874 31748 39685 79370 158740 198425 396850 793700 15371173 30742346 61484692 76855865 153711730 307423460 384279325 768558650 1537117300 122001000101 244002000202 488004000404 610005000505 1220010001010 2440020002020 3050025002525 6100050005050 12200100010100