Search a number
-
+
123211201323213 = 3213690133480357
BaseRepresentation
bin11100000000111101010111…
…111000110010000011001101
3121011020212122110121011122200
4130000331113320302003031
5112122143020014320323
61114014240001432113
734644500300106243
oct3400752770620315
9534225573534580
10123211201323213
1136293639045aa3
121199b1a603b639
1353999c6b01a33
14225d64d962793
15e3a0158c9443
hex700f57e320cd

123211201323213 has 6 divisors (see below), whose sum is σ = 177971735244654. Its totient is φ = 82140800882136.

The previous prime is 123211201323167. The next prime is 123211201323251. The reversal of 123211201323213 is 312323102112321.

123211201323213 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 1 + 120 + 1 + 323 + 213 = 666.

It can be written as a sum of positive squares in only one way, i.e., 120076931193444 + 3134270129769 = 10957962^2 + 1770387^2 .

It is not a de Polignac number, because 123211201323213 - 212 = 123211201319117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123211201321213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6845066740170 + ... + 6845066740187.

It is an arithmetic number, because the mean of its divisors is an integer number (29661955874109).

Almost surely, 2123211201323213 is an apocalyptic number.

It is an amenable number.

123211201323213 is a deficient number, since it is larger than the sum of its proper divisors (54760533921441).

123211201323213 is a wasteful number, since it uses less digits than its factorization.

123211201323213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13690133480363 (or 13690133480360 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 123211201323213 its reverse (312323102112321), we get a palindrome (435534303435534).

The spelling of 123211201323213 in words is "one hundred twenty-three trillion, two hundred eleven billion, two hundred one million, three hundred twenty-three thousand, two hundred thirteen".

Divisors: 1 3 9 13690133480357 41070400441071 123211201323213