Search a number
-
+
123212212321 = 11971071099901
BaseRepresentation
bin111001011000000000…
…1010010100001100001
3102210000212111220102011
41302300001102201201
54004314311243241
6132334121152521
711621212344622
oct1626001224141
9383025456364
10123212212321
1148288099850
121ba6762b741
13b807840713
145d6bbcda49
153311eb7281
hex1cb0052861

123212212321 has 32 divisors (see below), whose sum is σ = 138339653760. Its totient is φ = 108801792000.

The previous prime is 123212212297. The next prime is 123212212363.

123212212321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 123212212321 - 25 = 123212212289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123212212292 and 123212212301.

It is not an unprimeable number, because it can be changed into a prime (123212212121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12439471 + ... + 12449371.

It is an arithmetic number, because the mean of its divisors is an integer number (4323114180).

Almost surely, 2123212212321 is an apocalyptic number.

123212212321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123212212321 is a deficient number, since it is larger than the sum of its proper divisors (15127441439).

123212212321 is a wasteful number, since it uses less digits than its factorization.

123212212321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10225.

The product of its digits is 576, while the sum is 22.

It can be divided in two parts, 123212 and 212321, that added together give a palindrome (335533).

The spelling of 123212212321 in words is "one hundred twenty-three billion, two hundred twelve million, two hundred twelve thousand, three hundred twenty-one".

Divisors: 1 11 97 107 109 1067 1177 1199 9901 10379 10573 11663 108911 114169 116303 128293 960397 1059407 1079209 1131311 10564367 11653477 11871299 12444421 102762479 104683273 115475363 1130387269 1151516003 1270228993 11201110211 123212212321