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13031230311333 = 331337126012283
BaseRepresentation
bin1011110110100001000111…
…0110101000101110100101
31201010202212211211201112000
42331220101312220232211
53202000424424430313
643414244202315513
72513322015021633
oct275502166505645
951122784751460
1013031230311333
114174571872953
1215656587b8b99
13736abbbc8590
14330a01a10353
15178e8b2d7673
hexbda11da8ba5

13031230311333 has 16 divisors (see below), whose sum is σ = 20790566879040. Its totient is φ = 8019218652912.

The previous prime is 13031230311311. The next prime is 13031230311349. The reversal of 13031230311333 is 33311303213031.

13031230311333 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 12 + 3 + 0 + 311 + 333 = 666.

It is not a de Polignac number, because 13031230311333 - 222 = 13031226117029 is a prime.

It is a super-2 number, since 2×130312303113332 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13031230311297 and 13031230311306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13031230310333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18563005791 + ... + 18563006492.

It is an arithmetic number, because the mean of its divisors is an integer number (1299410429940).

Almost surely, 213031230311333 is an apocalyptic number.

13031230311333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13031230311333 is a deficient number, since it is larger than the sum of its proper divisors (7759336567707).

13031230311333 is a wasteful number, since it uses less digits than its factorization.

13031230311333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37126012305 (or 37126012299 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 13031230311333 its reverse (33311303213031), we get a palindrome (46342533524364).

The spelling of 13031230311333 in words is "thirteen trillion, thirty-one billion, two hundred thirty million, three hundred eleven thousand, three hundred thirty-three".

Divisors: 1 3 9 13 27 39 117 351 37126012283 111378036849 334134110547 482638159679 1002402331641 1447914479037 4343743437111 13031230311333