Search a number
-
+
123210223032 = 23313439183827
BaseRepresentation
bin111001010111111100…
…1101100110110111000
3102210000201202211121210
41302233321230312320
54004313304114112
6132334010403120
711621156421141
oct1625771546670
9383021684553
10123210223032
1148286a60206
121ba66a304a0
13b8072c5120
145d6b832ac8
153311c22b3c
hex1cafe6cdb8

123210223032 has 64 divisors (see below), whose sum is σ = 339434282880. Its totient is φ = 37029186432.

The previous prime is 123210222959. The next prime is 123210223063. The reversal of 123210223032 is 230322012321.

It is a happy number.

123210223032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1232102230323 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4578498 + ... + 4605329.

It is an arithmetic number, because the mean of its divisors is an integer number (5303660670).

Almost surely, 2123210223032 is an apocalyptic number.

123210223032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123210223032 is an abundant number, since it is smaller than the sum of its proper divisors (216224059848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123210223032 is a wasteful number, since it uses less digits than its factorization.

123210223032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9183892 (or 9183888 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 123210223032 its reverse (230322012321), we get a palindrome (353532235353).

The spelling of 123210223032 in words is "one hundred twenty-three billion, two hundred ten million, two hundred twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 43 52 78 86 104 129 156 172 258 312 344 516 559 1032 1118 1677 2236 3354 4472 6708 13416 9183827 18367654 27551481 36735308 55102962 73470616 110205924 119389751 220411848 238779502 358169253 394904561 477559004 716338506 789809122 955118008 1184713683 1432677012 1579618244 2369427366 2865354024 3159236488 4738854732 5133759293 9477709464 10267518586 15401277879 20535037172 30802555758 41070074344 61605111516 123210223032