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213033032031 = 367240938677
BaseRepresentation
bin1100011001100111000…
…0100001100101011111
3202100212122020022101110
43012121300201211133
511442242424011111
6241511021113103
721251104615641
oct3063160414537
9670778208343
10213033032031
118238a658056
12353543b8793
13171204b7c51
14a44cda8891
15581c74d5a6
hex3199c2195f

213033032031 has 24 divisors (see below), whose sum is σ = 289059259440. Its totient is φ = 139556621952.

The previous prime is 213033032029. The next prime is 213033032137. The reversal of 213033032031 is 130230330312.

213033032031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213033032031 - 21 = 213033032029 is a prime.

It is a super-2 number, since 2×2130330320312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213033031989 and 213033032007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213033032231) 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 23 ways as a sum of consecutive naturals, for example, 5488665 + ... + 5527341.

It is an arithmetic number, because the mean of its divisors is an integer number (12044135810).

Almost surely, 2213033032031 is an apocalyptic number.

213033032031 is a deficient number, since it is larger than the sum of its proper divisors (76026227409).

213033032031 is an equidigital number, since it uses as much as digits as its factorization.

213033032031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39223 (or 39156 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 213033032031 its reverse (130230330312), we get a palindrome (343263362343).

The spelling of 213033032031 in words is "two hundred thirteen billion, thirty-three million, thirty-two thousand, thirty-one".

Divisors: 1 3 67 201 409 1227 4489 13467 27403 38677 82209 116031 1836001 2591359 5508003 7774077 15818893 47456679 173621053 520863159 1059865831 3179597493 71011010677 213033032031