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231231210100 = 225211627133521
BaseRepresentation
bin1101011101011001110…
…1000100001001110100
3211002211220022112121121
43113112131010021310
512242030142210400
6254120503153324
722464060566452
oct3272635041164
9732756275547
10231231210100
118a078a98640
1238992a45844
1318a607b5457
14b297c619d2
15603520121a
hex35d6744274

231231210100 has 72 divisors (see below), whose sum is σ = 547490958336. Its totient is φ = 84068160000.

The previous prime is 231231210059. The next prime is 231231210109. The reversal of 231231210100 is 1012132132.

231231210100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231231210109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6881340 + ... + 6914860.

It is an arithmetic number, because the mean of its divisors is an integer number (7604041088).

Almost surely, 2231231210100 is an apocalyptic number.

231231210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231231210100 is an abundant number, since it is smaller than the sum of its proper divisors (316259748236).

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

231231210100 is a wasteful number, since it uses less digits than its factorization.

231231210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39817 (or 39810 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 231231210100 its reverse (1012132132), we get a palindrome (232243342232).

The spelling of 231231210100 in words is "two hundred thirty-one billion, two hundred thirty-one million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 6271 12542 25084 31355 33521 62710 67042 68981 125420 134084 137962 156775 167605 275924 313550 335210 344905 368731 627100 670420 689810 737462 838025 1379620 1474924 1676050 1724525 1843655 3352100 3449050 3687310 6898100 7374620 9218275 18436550 36873100 210210191 420420382 840840764 1051050955 2102101910 2312312101 4204203820 4624624202 5255254775 9249248404 10510509550 11561560505 21021019100 23123121010 46246242020 57807802525 115615605050 231231210100