Search a number
-
+
32031013101321 = 31329206913688239
BaseRepresentation
bin1110100100001110011010…
…01010000101111100001001
311012102010122101011101120110
413102013031022011330021
513144244003323220241
6152042502210344533
76514110236041263
oct722071512057411
9135363571141513
1032031013101321
11a22a304937993
1237139a958b149
1314b4685c11c40
147ca448a42b33
153a83007ed816
hex1d21cd285f09

32031013101321 has 32 divisors (see below), whose sum is σ = 47602223424000. Its totient is φ = 19022489595648.

The previous prime is 32031013101299. The next prime is 32031013101323. The reversal of 32031013101321 is 12310131013023.

It is a happy number.

It is not a de Polignac number, because 32031013101321 - 213 = 32031013093129 is a prime.

It is a super-2 number, since 2×320310131013212 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (32031013101323) 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, 4504081 + ... + 9184158.

It is an arithmetic number, because the mean of its divisors is an integer number (1487569482000).

Almost surely, 232031013101321 is an apocalyptic number.

It is an amenable number.

32031013101321 is a deficient number, since it is larger than the sum of its proper divisors (15571210322679).

32031013101321 is a wasteful number, since it uses less digits than its factorization.

32031013101321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13690353.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 32031013101321 its reverse (12310131013023), we get a palindrome (44341144114344).

The spelling of 32031013101321 in words is "thirty-two trillion, thirty-one billion, thirteen million, one hundred one thousand, three hundred twenty-one".

Divisors: 1 3 13 29 39 87 377 1131 2069 6207 26897 60001 80691 180003 780013 2340039 13688239 41064717 177947107 396958931 533841321 1190876793 5160466103 15481398309 28320966491 84962899473 368172564383 821308028239 1104517693149 2463924084717 10677004367107 32031013101321