Search a number
-
+
11002111300 = 2252110021113
BaseRepresentation
bin10100011111100011…
…01110010101000100
31001101202102011101201
422033301232111010
5140013020030200
65015421232244
7536433255145
oct121761562504
931352364351
1011002111300
114736450074
122170702684
1310644b663b
1476529dacc
15445d59c6a
hex28fc6e544

11002111300 has 18 divisors (see below), whose sum is σ = 23874581738. Its totient is φ = 4400844480.

The previous prime is 11002111297. The next prime is 11002111313. The reversal of 11002111300 is 311120011.

11002111300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1993443904 + 9008667396 = 44648^2 + 94914^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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 5 ways as a sum of consecutive naturals, for example, 55010457 + ... + 55010656.

Almost surely, 211002111300 is an apocalyptic number.

11002111300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002111300 is an abundant number, since it is smaller than the sum of its proper divisors (12872470438).

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

11002111300 is a wasteful number, since it uses less digits than its factorization.

11002111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110021127 (or 110021120 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 11002111300 its reverse (311120011), we get a palindrome (11313231311).

The spelling of 11002111300 in words is "eleven billion, two million, one hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 110021113 220042226 440084452 550105565 1100211130 2200422260 2750527825 5501055650 11002111300