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212131132123 = 2353612852797
BaseRepresentation
bin1100010110010000000…
…0000011001011011011
3202021112210011001022011
43011210000003023123
511433421032211443
6241241322210351
721216543605101
oct3054400031333
9667483131264
10212131132123
1181a67548329
12351423539b7
13170086a7871
14a3a52b5c71
1557b8498b9d
hex31640032db

212131132123 has 16 divisors (see below), whose sum is σ = 229228024896. Its totient is φ = 195815917440.

The previous prime is 212131132051. The next prime is 212131132127. The reversal of 212131132123 is 321231131212.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212131132123 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212131132094 and 212131132103.

It is not an unprimeable number, because it can be changed into a prime (212131132127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1352040 + ... + 1500757.

It is an arithmetic number, because the mean of its divisors is an integer number (14326751556).

Almost surely, 2212131132123 is an apocalyptic number.

212131132123 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

212131132123 is a deficient number, since it is larger than the sum of its proper divisors (17096892773).

212131132123 is a wasteful number, since it uses less digits than its factorization.

212131132123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852934.

The product of its digits is 432, while the sum is 22.

Adding to 212131132123 its reverse (321231131212), we get a palindrome (533362263335).

It can be divided in two parts, 21213113 and 2123, that added together give a square (21215236 = 46062).

The spelling of 212131132123 in words is "two hundred twelve billion, one hundred thirty-one million, one hundred thirty-two thousand, one hundred twenty-three".

Divisors: 1 23 53 61 1219 1403 3233 74359 2852797 65614331 151198241 174020617 3477559543 4002474191 9223092701 212131132123