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2313133132100 = 2252731310557431
BaseRepresentation
bin100001101010010001011…
…110101000100101000100
322012010121020002010002012
4201222101132220211010
5300344244040211400
64530345542433352
7326055411132320
oct41522136504504
98163536063065
102313133132100
11811aa339366a
12314373732858
1313a187208c5b
147dd55cd4980
1540283639d35
hex21a917a8944

2313133132100 has 72 divisors (see below), whose sum is σ = 5754898412928. Its totient is φ = 790540358400.

The previous prime is 2313133132073. The next prime is 2313133132129. The reversal of 2313133132100 is 12313313132.

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 23 ways as a sum of consecutive naturals, for example, 5059616 + ... + 5497815.

It is an arithmetic number, because the mean of its divisors is an integer number (79929144624).

Almost surely, 22313133132100 is an apocalyptic number.

2313133132100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2313133132100 is an abundant number, since it is smaller than the sum of its proper divisors (3441765280828).

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

2313133132100 is a wasteful number, since it uses less digits than its factorization.

2313133132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10557765 (or 10557758 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 2313133132100 its reverse (12313313132), we get a palindrome (2325446445232).

The spelling of 2313133132100 in words is "two trillion, three hundred thirteen billion, one hundred thirty-three million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 313 350 626 700 1252 1565 2191 3130 4382 6260 7825 8764 10955 15650 21910 31300 43820 54775 109550 219100 10557431 21114862 42229724 52787155 73902017 105574310 147804034 211148620 263935775 295608068 369510085 527871550 739020170 1055743100 1478040340 1847550425 3304475903 3695100850 6608951806 7390201700 13217903612 16522379515 23131331321 33044759030 46262662642 66089518060 82611897575 92525325284 115656656605 165223795150 231313313210 330447590300 462626626420 578283283025 1156566566050 2313133132100