Search a number
-
+
213123312003 = 3721449818449
BaseRepresentation
bin1100011001111100100…
…0111010100110000011
3202101002221010000020010
43012133020322212003
511442434031441003
6241524004120003
721253252155600
oct3063710724603
9671087100203
10213123312003
118242660a7a8
123537a696003
1317136107454
14a45ad896a7
155825633003
hex319f23a983

213123312003 has 12 divisors (see below), whose sum is σ = 330558606600. Its totient is φ = 121784749632.

The previous prime is 213123311963. The next prime is 213123312013. The reversal of 213123312003 is 300213321312.

213123312003 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 213123312003 - 28 = 213123311747 is a prime.

It is a super-2 number, since 2×2131233120032 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (213123312013) 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, 724909078 + ... + 724909371.

It is an arithmetic number, because the mean of its divisors is an integer number (27546550550).

Almost surely, 2213123312003 is an apocalyptic number.

213123312003 is a deficient number, since it is larger than the sum of its proper divisors (117435294597).

213123312003 is a wasteful number, since it uses less digits than its factorization.

213123312003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449818466 (or 1449818459 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 213123312003 its reverse (300213321312), we get a palindrome (513336633315).

The spelling of 213123312003 in words is "two hundred thirteen billion, one hundred twenty-three million, three hundred twelve thousand, three".

Divisors: 1 3 7 21 49 147 1449818449 4349455347 10148729143 30446187429 71041104001 213123312003