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133000133322303 = 3313544996952747
BaseRepresentation
bin11110001111011010000001…
…101100111010011000111111
3122102220200120222011001001000
4132033122001230322120333
5114413033233112303203
61150511230123021343
740004641201164402
oct3617320154723077
9572820528131030
10133000133322303
1139418048a54a25
1212b0039766a853
135929b218c4b10
1424bb352a7bd39
15105998a8754a3
hex78f681b3a63f

133000133322303 has 32 divisors (see below), whose sum is σ = 212197868960000. Its totient is φ = 81844722325728.

The previous prime is 133000133322281. The next prime is 133000133322307. The reversal of 133000133322303 is 303223331000331.

133000133322303 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 0 + 0 + 1 + 33 + 322 + 303 = 666.

It is not a de Polignac number, because 133000133322303 - 218 = 133000133060159 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133000133322307) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15652776 + ... + 22605522.

It is an arithmetic number, because the mean of its divisors is an integer number (6631183405000).

Almost surely, 2133000133322303 is an apocalyptic number.

133000133322303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

133000133322303 is a deficient number, since it is larger than the sum of its proper divisors (79197735637697).

133000133322303 is a wasteful number, since it uses less digits than its factorization.

133000133322303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7007268 (or 7007262 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 133000133322303 its reverse (303223331000331), we get a palindrome (436223464322634).

The spelling of 133000133322303 in words is "one hundred thirty-three trillion, one hundred thirty-three million, three hundred twenty-two thousand, three hundred three".

Divisors: 1 3 9 13 27 39 117 351 54499 163497 490491 708487 1471473 2125461 6376383 6952747 19129149 20858241 62574723 90385711 187724169 271157133 813471399 2440414197 378917758753 1136753276259 3410259828777 4925930863789 10230779486331 14777792591367 44333377774101 133000133322303