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13310312022033 = 31310310133270973
BaseRepresentation
bin1100000110110000110001…
…1010111000000000010001
31202010110020112022112220120
43001230030122320000101
53221034004334201113
644150401204100453
72542431640306155
oct301541432700021
952113215275816
1013310312022033
114271965156854
1215ab764694729
137572070212c0
1434031890d065
151813722d9a23
hexc1b0c6b8011

13310312022033 has 32 divisors (see below), whose sum is σ = 19316854712064. Its totient is φ = 8103427529472.

The previous prime is 13310312022017. The next prime is 13310312022037. The reversal of 13310312022033 is 33022021301331.

It is not a de Polignac number, because 13310312022033 - 24 = 13310312022017 is a prime.

It is a super-2 number, since 2×133103120220332 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13310312021994 and 13310312022012.

It is not an unprimeable number, because it can be changed into a prime (13310312022037) 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, 2433735 + ... + 5704707.

It is an arithmetic number, because the mean of its divisors is an integer number (603651709752).

Almost surely, 213310312022033 is an apocalyptic number.

13310312022033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13310312022033 is a deficient number, since it is larger than the sum of its proper divisors (6006542690031).

13310312022033 is a wasteful number, since it uses less digits than its factorization.

13310312022033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3272105.

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

Adding to 13310312022033 its reverse (33022021301331), we get a palindrome (46332333323364).

The spelling of 13310312022033 in words is "thirteen trillion, three hundred ten billion, three hundred twelve million, twenty-two thousand, thirty-three".

Divisors: 1 3 13 39 103 309 1013 1339 3039 4017 13169 39507 104339 313017 1356407 3270973 4069221 9812919 42522649 127567947 336910219 1010730657 3313495649 4379832847 9940486947 13139498541 43075443437 129226330311 341290051847 1023870155541 4436770674011 13310312022033