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11031010000 = 24541103101
BaseRepresentation
bin10100100010111111…
…11101101011010000
31001110202210100221221
422101133331223100
5140042414310000
65022332454424
7540234016003
oct122137755320
931422710857
1011031010000
11475079909a
12217a31a414
13106a49426a
1476906353a
1544866761a
hex2917fdad0

11031010000 has 50 divisors (see below), whose sum is σ = 26707202522. Its totient is φ = 4412400000.

The previous prime is 11031009991. The next prime is 11031010007. The reversal of 11031010000 is 1013011.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 4868131984 + 6162878016 = 69772^2 + 78504^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11031010007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 541551 + ... + 561550.

Almost surely, 211031010000 is an apocalyptic number.

11031010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11031010000 is an abundant number, since it is smaller than the sum of its proper divisors (15676192522).

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

11031010000 is an equidigital number, since it uses as much as digits as its factorization.

11031010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103129 (or 1103108 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 11031010000 its reverse (1013011), we get a palindrome (11032023011).

The spelling of 11031010000 in words is "eleven billion, thirty-one million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 1103101 2206202 4412404 5515505 8824808 11031010 17649616 22062020 27577525 44124040 55155050 88248080 110310100 137887625 220620200 275775250 441240400 551550500 689438125 1103101000 1378876250 2206202000 2757752500 5515505000 11031010000