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213122300103 = 32231029576329
BaseRepresentation
bin1100011001111100010…
…1000011100011000111
3202101002212012121011100
43012133011003203013
511442433302100403
6241523530311143
721253240442466
oct3063705034307
9671085177140
10213122300103
1182425a89519
123537a2884b3
1317135b419ab
14a45aba49dd
1558254d32a3
hex319f1438c7

213122300103 has 12 divisors (see below), whose sum is σ = 321227814960. Its totient is φ = 135904075296.

The previous prime is 213122300093. The next prime is 213122300129. The reversal of 213122300103 is 301003221312.

213122300103 is a `hidden beast` number, since 21 + 312 + 230 + 0 + 103 = 666.

213122300103 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 213122300103 - 29 = 213122299591 is a prime.

It is a super-2 number, since 2×2131223001032 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213122301103) 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 11 ways as a sum of consecutive naturals, for example, 514787958 + ... + 514788371.

It is an arithmetic number, because the mean of its divisors is an integer number (26768984580).

Almost surely, 2213122300103 is an apocalyptic number.

213122300103 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

213122300103 is a deficient number, since it is larger than the sum of its proper divisors (108105514857).

213122300103 is a wasteful number, since it uses less digits than its factorization.

213122300103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029576358 (or 1029576355 counting only the distinct ones).

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

Adding to 213122300103 its reverse (301003221312), we get a palindrome (514125521415).

The spelling of 213122300103 in words is "two hundred thirteen billion, one hundred twenty-two million, three hundred thousand, one hundred three".

Divisors: 1 3 9 23 69 207 1029576329 3088728987 9266186961 23680255567 71040766701 213122300103