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31802121 = 32131759271
BaseRepresentation
bin111100101010…
…0001100001001
32012211201022100
41321110030021
531120131441
63053344013
7534212361
oct171241411
965751270
1031802121
1116a5144a
12a798009
136786330
14431b9a1
152bd2cb6
hex1e54309

31802121 has 48 divisors (see below), whose sum is σ = 53464320. Its totient is φ = 18040320.

The previous prime is 31802083. The next prime is 31802159. The reversal of 31802121 is 12120813.

It is an interprime number because it is at equal distance from previous prime (31802083) and next prime (31802159).

It is not a de Polignac number, because 31802121 - 213 = 31793929 is a prime.

It is a super-2 number, since 2×318021212 = 2022749800197282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31802094 and 31802103.

It is not an unprimeable number, because it can be changed into a prime (31802171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117216 + ... + 117486.

It is an arithmetic number, because the mean of its divisors is an integer number (1113840).

Almost surely, 231802121 is an apocalyptic number.

It is an amenable number.

31802121 is a deficient number, since it is larger than the sum of its proper divisors (21662199).

31802121 is a wasteful number, since it uses less digits than its factorization.

31802121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 31802121 is about 5639.3369291079. The cubic root of 31802121 is about 316.8244540830.

Adding to 31802121 its reverse (12120813), we get a palindrome (43922934).

The spelling of 31802121 in words is "thirty-one million, eight hundred two thousand, one hundred twenty-one".

Divisors: 1 3 9 13 17 39 51 59 117 153 177 221 271 531 663 767 813 1003 1989 2301 2439 3009 3523 4607 6903 9027 10569 13039 13821 15989 31707 39117 41463 47967 59891 117351 143901 179673 207857 271813 539019 623571 815439 1870713 2446317 3533569 10600707 31802121