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1131130100 = 225211311301
BaseRepresentation
bin100001101101011…
…1010110011110100
32220211102100210102
41003122322303310
54304032130400
6304124013232
740013306252
oct10332726364
92824370712
101131130100
11530547871
12276991218
13150460169
14aa3235d2
15694849d5
hex436bacf4

1131130100 has 18 divisors (see below), whose sum is σ = 2454552534. Its totient is φ = 452452000.

The previous prime is 1131130061. The next prime is 1131130151. The reversal of 1131130100 is 10311311.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 206726884 + 924403216 = 14378^2 + 30404^2 .

It is a congruent number.

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, 5655551 + ... + 5655750.

Almost surely, 21131130100 is an apocalyptic number.

1131130100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131130100 is an abundant number, since it is smaller than the sum of its proper divisors (1323422434).

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

1131130100 is a wasteful number, since it uses less digits than its factorization.

1131130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11311315 (or 11311308 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 1131130100 is about 33632.2776510899. The cubic root of 1131130100 is about 1041.9275458234.

Adding to 1131130100 its reverse (10311311), we get a palindrome (1141441411).

The spelling of 1131130100 in words is "one billion, one hundred thirty-one million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 11311301 22622602 45245204 56556505 113113010 226226020 282782525 565565050 1131130100