Search a number
-
+
1223131302120 = 2335713379113323
BaseRepresentation
bin10001110011001000010…
…011101000100011101000
311022221010010100000012210
4101303020103220203220
5130014433103131440
62333522044405120
7154240222345440
oct21631023504350
94287103300183
101223131302120
114317aa807802
121790742467a0
138b45792a220
14432b2635120
1521c3a7d4a80
hex11cc84e88e8

1223131302120 has 512 divisors, whose sum is σ = 4644724654080. Its totient is φ = 250741370880.

The previous prime is 1223131302089. The next prime is 1223131302131. The reversal of 1223131302120 is 212031313221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 368078779 + ... + 368082101.

It is an arithmetic number, because the mean of its divisors is an integer number (9071727840).

Almost surely, 21223131302120 is an apocalyptic number.

1223131302120 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 1223131302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322362327040).

1223131302120 is an abundant number, since it is smaller than the sum of its proper divisors (3421593351960).

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

1223131302120 is a wasteful number, since it uses less digits than its factorization.

1223131302120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4305 (or 4301 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1223131302120 its reverse (212031313221), we get a palindrome (1435162615341).

It can be divided in two parts, 1223131 and 302120, that added together give a palindrome (1525251).

The spelling of 1223131302120 in words is "one trillion, two hundred twenty-three billion, one hundred thirty-one million, three hundred two thousand, one hundred twenty".