Search a number
-
+
213321003123 = 31943671299019
BaseRepresentation
bin1100011010101011101…
…1000011000001110011
3202101121201002202110110
43012222323003001303
511443340134044443
6241555345232403
721261202415544
oct3065273030163
9671551082413
10213321003123
1182518165a98
1235414932703
1317168063847
14a47932a4cb
155837b83233
hex31aaec3073

213321003123 has 32 divisors (see below), whose sum is σ = 310933427200. Its totient is φ = 129631604256.

The previous prime is 213321003121. The next prime is 213321003143. The reversal of 213321003123 is 321300123312.

213321003123 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 213321003123 - 21 = 213321003121 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 213321003123.

It is not an unprimeable number, because it can be changed into a prime (213321003121) 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 31 ways as a sum of consecutive naturals, for example, 485293 + ... + 813726.

It is an arithmetic number, because the mean of its divisors is an integer number (9716669600).

Almost surely, 2213321003123 is an apocalyptic number.

213321003123 is a deficient number, since it is larger than the sum of its proper divisors (97612424077).

213321003123 is a wasteful number, since it uses less digits than its factorization.

213321003123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299151.

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

Adding to 213321003123 its reverse (321300123312), we get a palindrome (534621126435).

The spelling of 213321003123 in words is "two hundred thirteen billion, three hundred twenty-one million, three thousand, one hundred twenty-three".

Divisors: 1 3 19 43 57 67 129 201 817 1273 2451 2881 3819 8643 54739 164217 1299019 3897057 24681361 55857817 74044083 87034273 167573451 261102819 1061298523 1653651187 3183895569 3742473739 4960953561 11227421217 71107001041 213321003123