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133041140331 = 31112659318473
BaseRepresentation
bin111101111100111011…
…1101011001001101011
3110201101212101011212220
41323321313223021223
54134432012442311
6141041313205123
712416612014461
oct1737167531153
9421355334786
10133041140331
1151471289950
122194b2607a3
13c712c61958
146621340831
1536d9d32206
hex1ef9deb26b

133041140331 has 16 divisors (see below), whose sum is σ = 193530280320. Its totient is φ = 80624371520.

The previous prime is 133041140303. The next prime is 133041140363.

133041140331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133041140331 - 217 = 133041009259 is a prime.

It is a super-3 number, since 3×1330411403313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (133041140231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258511 + ... + 576983.

It is an arithmetic number, because the mean of its divisors is an integer number (12095642520).

Almost surely, 2133041140331 is an apocalyptic number.

133041140331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133041140331 is a deficient number, since it is larger than the sum of its proper divisors (60489139989).

133041140331 is a wasteful number, since it uses less digits than its factorization.

133041140331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331146.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 133041 and 140331, that added together give a palindrome (273372).

The spelling of 133041140331 in words is "one hundred thirty-three billion, forty-one million, one hundred forty thousand, three hundred thirty-one".

Divisors: 1 3 11 33 12659 37977 139249 318473 417747 955419 3503203 10509609 4031549707 12094649121 44347046777 133041140331