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2032200131031 = 327125950115113
BaseRepresentation
bin11101100100101000100…
…100010010000111010111
321012021110112001222201200
4131210220210102013113
5231243421213143111
64153325125323543
7266551546050060
oct35445044220727
97167415058650
102032200131031
1171393aaa3924
12289a2b8665b3
131198356a5645
14705051ab567
1537cded4c256
hex1d9289121d7

2032200131031 has 48 divisors (see below), whose sum is σ = 3358734462720. Its totient is φ = 1159876402560.

The previous prime is 2032200131011. The next prime is 2032200131057. The reversal of 2032200131031 is 1301310022302.

2032200131031 is a `hidden beast` number, since 2 + 0 + 322 + 0 + 0 + 1 + 310 + 31 = 666.

It is not a de Polignac number, because 2032200131031 - 25 = 2032200130999 is a prime.

It is a super-2 number, since 2×20322001310312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2032200130995 and 2032200131013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032200131011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 397454931 + ... + 397460043.

It is an arithmetic number, because the mean of its divisors is an integer number (69973634640).

Almost surely, 22032200131031 is an apocalyptic number.

2032200131031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2032200131031 is a deficient number, since it is larger than the sum of its proper divisors (1326534331689).

2032200131031 is a wasteful number, since it uses less digits than its factorization.

2032200131031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11396 (or 11393 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2032200131031 its reverse (1301310022302), we get a palindrome (3333510153333).

The spelling of 2032200131031 in words is "two trillion, thirty-two billion, two hundred million, one hundred thirty-one thousand, thirty-one".

Divisors: 1 3 7 9 21 63 1259 3777 5011 5113 8813 11331 15033 15339 26439 35077 35791 45099 46017 79317 105231 107373 315693 322119 6308849 6437267 18926547 19311801 25621243 44161943 45060869 56779641 57935403 76863729 132485829 135182607 179348701 230591187 397457487 405547821 538046103 1614138309 32257144937 96771434811 225800014559 290314304433 677400043677 2032200131031