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213201131031 = 32729409285317
BaseRepresentation
bin1100011010001111000…
…1110001011000010111
3202101022100112121212100
43012203301301120113
511443113442143111
6241535424053143
721255215466330
oct3064361613027
9671270477770
10213201131031
1182466531349
12353a07641b3
1317149282c05
14a467445287
15582c3a5756
hex31a3c71617

213201131031 has 48 divisors (see below), whose sum is σ = 364978785600. Its totient is φ = 117340199424.

The previous prime is 213201130937. The next prime is 213201131063. The reversal of 213201131031 is 130131102312.

213201131031 is a `hidden beast` number, since 2 + 1 + 320 + 1 + 1 + 310 + 31 = 666.

213201131031 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 213201131031 - 218 = 213200868887 is a prime.

It is a super-2 number, since 2×2132011310312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213201130995 and 213201131013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213201131831) 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, 604585 + ... + 889901.

It is an arithmetic number, because the mean of its divisors is an integer number (7603724700).

Almost surely, 2213201131031 is an apocalyptic number.

213201131031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

213201131031 is a deficient number, since it is larger than the sum of its proper divisors (151777654569).

213201131031 is a wasteful number, since it uses less digits than its factorization.

213201131031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285768 (or 285765 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 213201131031 its reverse (130131102312), we get a palindrome (343332233343).

The spelling of 213201131031 in words is "two hundred thirteen billion, two hundred one million, one hundred thirty-one thousand, thirty-one".

Divisors: 1 3 7 9 21 29 63 87 203 261 409 609 1227 1827 2863 3681 8589 11861 25767 35583 83027 106749 249081 285317 747243 855951 1997219 2567853 5991657 8274193 17974971 24822579 57919351 74467737 116694653 173758053 350083959 521274159 816862571 1050251877 2450587713 3384144937 7351763139 10152434811 23689014559 30457304433 71067043677 213201131031