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32313144115131 = 31121726319909847
BaseRepresentation
bin1110101100011011111010…
…11110011111111110111011
311020102002212120102212110020
413112031331132133332323
513213404304343141011
6152420241541221523
76543355556064165
oct726157536377673
9136362776385406
1032313144115131
11a328a224a6400
12375a6067018a3
1315051689c2329
147d9d708dd935
153b0814383006
hex1d637d79ffbb

32313144115131 has 48 divisors (see below), whose sum is σ = 50333369974272. Its totient is φ = 18361656375040.

The previous prime is 32313144115081. The next prime is 32313144115139. The reversal of 32313144115131 is 13151144131323.

It is a happy number.

It is not a de Polignac number, because 32313144115131 - 26 = 32313144115067 is a prime.

It is a super-2 number, since 2×323131441151312 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 32313144115092 and 32313144115101.

It is not an unprimeable number, because it can be changed into a prime (32313144115139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8331951 + ... + 11577896.

It is an arithmetic number, because the mean of its divisors is an integer number (1048611874464).

Almost surely, 232313144115131 is an apocalyptic number.

32313144115131 is a deficient number, since it is larger than the sum of its proper divisors (18020225859141).

32313144115131 is a wasteful number, since it uses less digits than its factorization.

32313144115131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19910152 (or 19910141 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

Adding to 32313144115131 its reverse (13151144131323), we get a palindrome (45464288246454).

The spelling of 32313144115131 in words is "thirty-two trillion, three hundred thirteen billion, one hundred forty-four million, one hundred fifteen thousand, one hundred thirty-one".

Divisors: 1 3 11 17 33 51 121 187 263 363 561 789 2057 2893 4471 6171 8679 13413 31823 49181 95469 147543 540991 1622973 19909847 59729541 219008317 338467399 657024951 1015402197 2409091487 3723141389 5236289761 7227274461 11169424167 15708869283 40954555279 57599187371 89016925937 122863665837 172797562113 267050777811 633591061081 979186185307 1900773183243 2937558555921 10771048038377 32313144115131