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133043340331 = 1117245791577
BaseRepresentation
bin111101111101000000…
…0000100010000101011
3110201102000111221201101
41323322000010100223
54134433043342311
6141041432302231
712416636506456
oct1737200042053
9421360457641
10133043340331
1151472551830
122194bb41977
13c713552125
14662175449d
1536da118ec1
hex1efa00442b

133043340331 has 24 divisors (see below), whose sum is σ = 154516995216. Its totient is φ = 113583544320.

The previous prime is 133043340317. The next prime is 133043340341.

133043340331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133043340331 - 211 = 133043338283 is a prime.

It is a super-2 number, since 2×1330433403312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 133043340331.

It is not an unprimeable number, because it can be changed into a prime (133043340341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1407015 + ... + 1498591.

It is an arithmetic number, because the mean of its divisors is an integer number (6438208134).

Almost surely, 2133043340331 is an apocalyptic number.

133043340331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133043340331 is a deficient number, since it is larger than the sum of its proper divisors (21473654885).

133043340331 is a wasteful number, since it uses less digits than its factorization.

133043340331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92079 (or 92062 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

It can be divided in two parts, 133043 and 340331, that added together give a palindrome (473374).

The spelling of 133043340331 in words is "one hundred thirty-three billion, forty-three million, three hundred forty thousand, three hundred thirty-one".

Divisors: 1 11 17 187 289 457 3179 5027 7769 85459 91577 132073 1007347 1452803 1556809 17124899 26465753 41850689 291123283 460357579 711461713 7826078843 12094849121 133043340331