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231310131100 = 225217143394951
BaseRepresentation
bin1101011101101100101…
…0000111111110011100
3211010001101211010212121
43113123022013332130
512242210343143400
6254132402512324
722466036450026
oct3273312077634
9733041733777
10231310131100
118a1095a2104
12389b53656a4
1318a73c58679
14b2a4527016
15603c0e021a
hex35db287f9c

231310131100 has 72 divisors (see below), whose sum is σ = 531845522208. Its totient is φ = 87019776000.

The previous prime is 231310131089. The next prime is 231310131121. The reversal of 231310131100 is 1131013132.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2388625 + ... + 2483575.

It is an arithmetic number, because the mean of its divisors is an integer number (7386743364).

Almost surely, 2231310131100 is an apocalyptic number.

231310131100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231310131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265922761104).

231310131100 is an abundant number, since it is smaller than the sum of its proper divisors (300535391108).

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

231310131100 is a wasteful number, since it uses less digits than its factorization.

231310131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96415 (or 96408 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 231310131100 its reverse (1131013132), we get a palindrome (232441144232).

The spelling of 231310131100 in words is "two hundred thirty-one billion, three hundred ten million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1433 1700 2866 5732 7165 14330 24361 28660 35825 48722 71650 94951 97444 121805 143300 189902 243610 379804 474755 487220 609025 949510 1218050 1614167 1899020 2373775 2436100 3228334 4747550 6456668 8070835 9495100 16141670 32283340 40354175 80708350 136064783 161416700 272129566 544259132 680323915 1360647830 2313101311 2721295660 3401619575 4626202622 6803239150 9252405244 11565506555 13606478300 23131013110 46262026220 57827532775 115655065550 231310131100