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241431031100 = 2252721371811987
BaseRepresentation
bin1110000011011001101…
…0010010110100111100
3212002011202002010121202
43200312122102310330
512423422320443400
6302524544515032
723304612622100
oct3406632226474
9762152063552
10241431031100
1193432583076
123a95a91ba78
13199c79c65ac
14b98475b900
1564308d04d5
hex3836692d3c

241431031100 has 216 divisors, whose sum is σ = 617591690352. Its totient is φ = 81677030400.

The previous prime is 241431031091. The next prime is 241431031123. The reversal of 241431031100 is 1130134142.

241431031100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 121504307 + ... + 121506293.

Almost surely, 2241431031100 is an apocalyptic number.

241431031100 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 241431031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308795845176).

241431031100 is an abundant number, since it is smaller than the sum of its proper divisors (376160659252).

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

241431031100 is a wasteful number, since it uses less digits than its factorization.

241431031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 241431031100 its reverse (1130134142), we get a palindrome (242561165242).

The spelling of 241431031100 in words is "two hundred forty-one billion, four hundred thirty-one million, thirty-one thousand, one hundred".