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231013320100 = 225217531317817
BaseRepresentation
bin1101011100100101110…
…1111000010110100100
3211002021201022120201121
43113021131320112210
512241103402220400
6254043121103324
722455503551603
oct3271135702644
9732251276647
10231013320100
1189a76aa6662
1238931a87b44
1318a27606264
14b276d43a3a
15602101121a
hex35c97785a4

231013320100 has 36 divisors (see below), whose sum is σ = 501585251524. Its totient is φ = 92352545280.

The previous prime is 231013320071. The next prime is 231013320101. The reversal of 231013320100 is 1023310132.

It can be written as a sum of positive squares in 6 ways, for example, as 19383879076 + 211629441024 = 139226^2 + 460032^2 .

It is a super-3 number, since 3×2310133201003 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (231013320101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 483609 + ... + 834208.

Almost surely, 2231013320100 is an apocalyptic number.

231013320100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231013320100 is an abundant number, since it is smaller than the sum of its proper divisors (270571931424).

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

231013320100 is a wasteful number, since it uses less digits than its factorization.

231013320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319584 (or 1319577 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 231013320100 its reverse (1023310132), we get a palindrome (232036630232).

The spelling of 231013320100 in words is "two hundred thirty-one billion, thirteen million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1753 3506 7012 8765 17530 35060 43825 87650 175300 1317817 2635634 5271268 6589085 13178170 26356340 32945425 65890850 131781700 2310133201 4620266402 9240532804 11550666005 23101332010 46202664020 57753330025 115506660050 231013320100