Search a number
-
+
2200121201120 = 25513998926313
BaseRepresentation
bin100000000001000001011…
…100010101000111100000
321210022220020012012010212
4200001001130111013200
5242021322011413440
64402415520513252
7314645024435063
oct40010134250740
97708806165125
102200121201120
117790800741a7
122b649417b828
1312c616a0b08b
14786b4ac08da
153c36bde3465
hex200417151e0

2200121201120 has 48 divisors (see below), whose sum is σ = 5235180536880. Its totient is φ = 873717187584.

The previous prime is 2200121201101. The next prime is 2200121201123. The reversal of 2200121201120 is 211021210022.

It is a super-2 number, since 2×22001212011202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2200121201095 and 2200121201104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200121201123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49440917 + ... + 49485396.

It is an arithmetic number, because the mean of its divisors is an integer number (109066261185).

Almost surely, 22200121201120 is an apocalyptic number.

2200121201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200121201120 is an abundant number, since it is smaller than the sum of its proper divisors (3035059335760).

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

2200121201120 is a wasteful number, since it uses less digits than its factorization.

2200121201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98926467 (or 98926459 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2200121201120 its reverse (211021210022), we get a palindrome (2411142411142).

The spelling of 2200121201120 in words is "two trillion, two hundred billion, one hundred twenty-one million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 139 160 278 556 695 1112 1390 2224 2780 4448 5560 11120 22240 98926313 197852626 395705252 494631565 791410504 989263130 1582821008 1978526260 3165642016 3957052520 7914105040 13750757507 15828210080 27501515014 55003030028 68753787535 110006060056 137507575070 220012120112 275015150140 440024240224 550030300280 1100060600560 2200121201120