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241131242331 = 3375921624181
BaseRepresentation
bin1110000010010010001…
…0101100001101011011
3212001101211222021202000
43200210202230031123
512422314044223311
6302435115212043
723264312512260
oct3404442541533
9761354867660
10241131242331
1193299333361
123a896447023
131997a8709a5
14b956a01267
156414414056
hex38248ac35b

241131242331 has 32 divisors (see below), whose sum is σ = 415184294400. Its totient is φ = 135453863520.

The previous prime is 241131242329. The next prime is 241131242371. The reversal of 241131242331 is 133242131142.

241131242331 is a `hidden beast` number, since 2 + 4 + 11 + 312 + 4 + 2 + 331 = 666.

It is not a de Polignac number, because 241131242331 - 21 = 241131242329 is a prime.

It is a super-2 number, since 2×2411312423312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 241131242295 and 241131242304.

It is not an unprimeable number, because it can be changed into a prime (241131242371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10800940 + ... + 10823241.

It is an arithmetic number, because the mean of its divisors is an integer number (12974509200).

Almost surely, 2241131242331 is an apocalyptic number.

241131242331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

241131242331 is a deficient number, since it is larger than the sum of its proper divisors (174053052069).

241131242331 is a wasteful number, since it uses less digits than its factorization.

241131242331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21624256 (or 21624250 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 241131242331 its reverse (133242131142), we get a palindrome (374373373473).

The spelling of 241131242331 in words is "two hundred forty-one billion, one hundred thirty-one million, two hundred forty-two thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 27 59 63 177 189 413 531 1239 1593 3717 11151 21624181 64872543 151369267 194617629 454107801 583852887 1275826679 1362323403 3827480037 4086970209 8930786753 11482440111 26792360259 34447320333 80377080777 241131242331