Search a number
-
+
104312033331 = 31123314433339
BaseRepresentation
bin110000100100101111…
…0110101000000110011
3100222020200111022221220
41201021132311000303
53202112340031311
6115530440520123
710351643440152
oct1411136650063
9328220438856
10104312033331
1140269472610
1218271a80043
139ab4c8315c
1450979db599
152aa7a99206
hex18497b5033

104312033331 has 32 divisors (see below), whose sum is σ = 163430645760. Its totient is φ = 58520061600.

The previous prime is 104312033321. The next prime is 104312033333. The reversal of 104312033331 is 133330213401.

It is a happy number.

It is not a de Polignac number, because 104312033331 - 211 = 104312031283 is a prime.

It is a super-2 number, since 2×1043120333312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104312033333) 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, 2193141 + ... + 2240198.

It is an arithmetic number, because the mean of its divisors is an integer number (5107207680).

Almost surely, 2104312033331 is an apocalyptic number.

104312033331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

104312033331 is a deficient number, since it is larger than the sum of its proper divisors (59118612429).

104312033331 is a wasteful number, since it uses less digits than its factorization.

104312033331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4433407.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 104312033331 its reverse (133330213401), we get a palindrome (237642246732).

The spelling of 104312033331 in words is "one hundred four billion, three hundred twelve million, thirty-three thousand, three hundred thirty-one".

Divisors: 1 3 11 23 31 33 69 93 253 341 713 759 1023 2139 7843 23529 4433339 13300017 48766729 101966797 137433509 146300187 305900391 412300527 1121634767 1511768599 3160970707 3364904301 4535305797 9482912121 34770677777 104312033331