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1211131120 = 24543352073
BaseRepresentation
bin100100000110000…
…0110010011110000
310010101221211120011
41020030012103300
54440022143440
6320102424304
742004305343
oct11014062360
93111854504
101211131120
11571719811
12299732094
13163bc0b44
14b6bca45a
15714d89ea
hex483064f0

1211131120 has 40 divisors (see below), whose sum is σ = 2881373616. Its totient is φ = 473184768.

The previous prime is 1211131111. The next prime is 1211131123. The reversal of 1211131120 is 211311121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 1211131120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211131123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172597 + ... + 179476.

Almost surely, 21211131120 is an apocalyptic number.

1211131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1211131120 is an abundant number, since it is smaller than the sum of its proper divisors (1670242496).

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

1211131120 is a wasteful number, since it uses less digits than its factorization.

1211131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352129 (or 352123 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

The square root of 1211131120 is about 34801.3091707769. The cubic root of 1211131120 is about 1065.9341785336.

Adding to 1211131120 its reverse (211311121), we get a palindrome (1422442241).

The spelling of 1211131120 in words is "one billion, two hundred eleven million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 3440 352073 704146 1408292 1760365 2816584 3520730 5633168 7041460 14082920 15139139 28165840 30278278 60556556 75695695 121113112 151391390 242226224 302782780 605565560 1211131120