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13102331112333 = 331741143693809
BaseRepresentation
bin1011111010101001111111…
…0010101010101110001101
31201101120101222112122111000
42332222133302222232031
53204132033231043313
643511043335250513
72521416656611641
oct276523762525615
951346358478430
1013102331112333
1141a1738377011
1215773a0219a39
13740710414368
143342288d2c21
1517ac4d38b673
hexbea9fcaab8d

13102331112333 has 32 divisors (see below), whose sum is σ = 20553205420800. Its totient is φ = 8220858835968.

The previous prime is 13102331112281. The next prime is 13102331112341. The reversal of 13102331112333 is 33321113320131.

13102331112333 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 2 + 3 + 311 + 12 + 333 = 666.

It is not a de Polignac number, because 13102331112333 - 222 = 13102326918029 is a prime.

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 = 13102331112297 and 13102331112306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13102331112133) 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, 18537733 + ... + 19231541.

It is an arithmetic number, because the mean of its divisors is an integer number (642287669400).

Almost surely, 213102331112333 is an apocalyptic number.

It is an amenable number.

13102331112333 is a deficient number, since it is larger than the sum of its proper divisors (7450874308467).

13102331112333 is a wasteful number, since it uses less digits than its factorization.

13102331112333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734978 (or 734972 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 13102331112333 its reverse (33321113320131), we get a palindrome (46423444432464).

The spelling of 13102331112333 in words is "thirteen trillion, one hundred two billion, three hundred thirty-one million, one hundred twelve thousand, three hundred thirty-three".

Divisors: 1 3 9 17 27 51 153 459 41143 123429 370287 693809 699431 1110861 2081427 2098293 6244281 6294879 11794753 18732843 18884637 35384259 106152777 318458331 28545383687 85636151061 256908453183 485271522679 770725359549 1455814568037 4367443704111 13102331112333