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13304010004131 = 37111928310711013
BaseRepresentation
bin1100000110011001010011…
…0010100101011010100011
31202002211222022221212120010
43001212110302211122203
53220433103030113011
644143440002020003
72542116525115140
oct301462462453243
952084868855503
1013304010004131
11426a2208a34a0
1215aa4a6047603
137567414cc122
1433dcbb9633c7
15181103de51a6
hexc1994ca56a3

13304010004131 has 64 divisors (see below), whose sum is σ = 23362006855680. Its totient is φ = 6524291629440.

The previous prime is 13304010004099. The next prime is 13304010004163. The reversal of 13304010004131 is 13140001040331.

It is an interprime number because it is at equal distance from previous prime (13304010004099) and next prime (13304010004163).

It is not a de Polignac number, because 13304010004131 - 25 = 13304010004099 is a prime.

It is a super-2 number, since 2×133040100041312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 13304010004098 and 13304010004107.

It is not an unprimeable number, because it can be changed into a prime (13304010004231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4113420 + ... + 6597593.

It is an arithmetic number, because the mean of its divisors is an integer number (365031357120).

Almost surely, 213304010004131 is an apocalyptic number.

13304010004131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13304010004131 is a deficient number, since it is larger than the sum of its proper divisors (10057996851549).

13304010004131 is a wasteful number, since it uses less digits than its factorization.

13304010004131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10711336.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 13304010004131 its reverse (13140001040331), we get a palindrome (26444011044462).

The spelling of 13304010004131 in words is "thirteen trillion, three hundred four billion, ten million, four thousand, one hundred thirty-one".

Divisors: 1 3 7 11 19 21 33 57 77 133 209 231 283 399 627 849 1463 1981 3113 4389 5377 5943 9339 16131 21791 37639 59147 65373 112917 177441 414029 1242087 10711013 32133039 74977091 117821143 203509247 224931273 353463429 610527741 824748001 1424564729 2238601717 2474244003 3031216679 4273694187 6715805151 9093650037 15670212019 21218516753 33343383469 47010636057 57593116901 63655550259 100030150407 172779350703 233403684283 403151818307 633524285911 700211052849 1209455454921 1900572857733 4434670001377 13304010004131