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41231301120 = 293251997971
BaseRepresentation
bin100110011001100100…
…111011101000000000
310221102110222010002200
4212121210323220000
51133420203113440
630535201513200
72656515163662
oct463144735000
9127373863080
1041231301120
1116538aa3879
127ba8342800
133b711b5cc9
141dd1d28532
151114b56c30
hex99993ba00

41231301120 has 480 divisors, whose sum is σ = 152017145280. Its totient is φ = 10298327040.

The previous prime is 41231301119. The next prime is 41231301143. The reversal of 41231301120 is 2110313214.

41231301120 is a `hidden beast` number, since 412 + 3 + 130 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×412313011203 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 41231301093 and 41231301102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42462235 + ... + 42463205.

It is an arithmetic number, because the mean of its divisors is an integer number (316702386).

Almost surely, 241231301120 is an apocalyptic number.

41231301120 is a gapful number since it is divisible by the number (40) 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 41231301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76008572640).

41231301120 is an abundant number, since it is smaller than the sum of its proper divisors (110785844160).

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

41231301120 is a wasteful number, since it uses less digits than its factorization.

41231301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 41231301120 its reverse (2110313214), we get a palindrome (43341614334).

The spelling of 41231301120 in words is "forty-one billion, two hundred thirty-one million, three hundred one thousand, one hundred twenty".