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303031201403133 = 32722772480669969
BaseRepresentation
bin100010011100110101111001…
…1000111011001000011111101
31110201221111111110011100221200
41010321223303013121003331
5304204330400024400013
62552254340114050113
7120554165443334100
oct10471536307310375
91421844443140850
10303031201403133
11886118a1204185
1229ba1588279939
1310011948192b28
1454b8b07550737
15250780c3e2e73
hex1139af31d90fd

303031201403133 has 36 divisors (see below), whose sum is σ = 511013052480060. Its totient is φ = 172535557614336.

The previous prime is 303031201403093. The next prime is 303031201403251. The reversal of 303031201403133 is 331304102130303.

303031201403133 is a `hidden beast` number, since 3 + 0 + 3 + 0 + 3 + 120 + 1 + 403 + 133 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 119824067030724 + 183207134372409 = 10946418^2 + 13535403^2 .

It is not a de Polignac number, because 303031201403133 - 216 = 303031201337597 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 303031201403097 and 303031201403106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303031201423133) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1240212828 + ... + 1240457141.

It is an arithmetic number, because the mean of its divisors is an integer number (14194807013335).

Almost surely, 2303031201403133 is an apocalyptic number.

It is an amenable number.

303031201403133 is a deficient number, since it is larger than the sum of its proper divisors (207981851076927).

303031201403133 is a wasteful number, since it uses less digits than its factorization.

303031201403133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480670266 (or 2480670256 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 303031201403133 its reverse (331304102130303), we get a palindrome (634335303533436).

The spelling of 303031201403133 in words is "three hundred three trillion, thirty-one billion, two hundred one million, four hundred three thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 49 63 147 277 441 831 1939 2493 5817 13573 17451 40719 122157 2480669969 7442009907 17364689783 22326029721 52094069349 121552828481 156282208047 364658485443 687145581413 1093975456329 2061436744239 4810019069891 6184310232717 14430057209673 33670133489237 43290171629019 101010400467711 303031201403133