Search a number
-
+
12313211220 = 22335531034177
BaseRepresentation
bin10110111011110110…
…01011000101010100
31011210010110221101000
423131323023011110
5200204140224340
65353454503300
7614063365662
oct133573130524
934703427330
1012313211220
115249539922
122477804b30
1312130099cb
1484b46dc32
154c0eddd30
hex2ddecb154

12313211220 has 192 divisors, whose sum is σ = 39418928640. Its totient is φ = 3189528576.

The previous prime is 12313211219. The next prime is 12313211233. The reversal of 12313211220 is 2211231321.

12313211220 is a `hidden beast` number, since 1 + 231 + 3 + 211 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12313211193 and 12313211202.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2945772 + ... + 2949948.

It is an arithmetic number, because the mean of its divisors is an integer number (205306920).

Almost surely, 212313211220 is an apocalyptic number.

12313211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12313211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19709464320).

12313211220 is an abundant number, since it is smaller than the sum of its proper divisors (27105717420).

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

12313211220 is a wasteful number, since it uses less digits than its factorization.

12313211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4351 (or 4343 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12313211220 its reverse (2211231321), we get a palindrome (14524442541).

The spelling of 12313211220 in words is "twelve billion, three hundred thirteen million, two hundred eleven thousand, two hundred twenty".