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210032321031 = 33132101455737
BaseRepresentation
bin1100001110011011100…
…1101110001000000111
3202002010111212101202000
43003212321232020013
511420121233233111
6240253145320343
721113540162241
oct3034671561007
9662114771660
10210032321031
118108a851505
12348574960b3
1316a62914c00
14a246659091
1556e40b8c56
hex30e6e6e207

210032321031 has 48 divisors (see below), whose sum is σ = 340272220320. Its totient is φ = 127970668800.

The previous prime is 210032320999. The next prime is 210032321039. The reversal of 210032321031 is 130123230012.

210032321031 is a `hidden beast` number, since 2 + 100 + 323 + 210 + 31 = 666.

210032321031 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 210032321031 - 25 = 210032320999 is a prime.

It is a super-2 number, since 2×2100323210312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210032320995 and 210032321013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210032321039) 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, 232995 + ... + 688731.

It is an arithmetic number, because the mean of its divisors is an integer number (7089004590).

Almost surely, 2210032321031 is an apocalyptic number.

210032321031 is a deficient number, since it is larger than the sum of its proper divisors (130239899289).

210032321031 is a wasteful number, since it uses less digits than its factorization.

210032321031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455873 (or 455854 counting only the distinct ones).

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

Adding to 210032321031 its reverse (130123230012), we get a palindrome (340155551043).

The spelling of 210032321031 in words is "two hundred ten billion, thirty-two million, three hundred twenty-one thousand, thirty-one".

Divisors: 1 3 9 13 27 39 101 117 169 303 351 507 909 1313 1521 2727 3939 4563 11817 17069 35451 51207 153621 455737 460863 1367211 4101633 5924581 12304899 17773743 46029437 53321229 77019553 138088311 159963687 231058659 414264933 598382681 693175977 1242794799 1795148043 2079527931 5385444129 7778974853 16156332387 23336924559 70010773677 210032321031