Search a number
-
+
2321011001220 = 2235313741822581
BaseRepresentation
bin100001110001100111000…
…010010100011110000100
322012212221020200022220120
4201301213002110132010
5301011412304014340
64534131400501540
7326454546664632
oct41614702243604
98185836608816
102321011001220
118153762242aa
123159b1a7a8b0
1313ab4135a282
14804a228a352
154059505d4d0
hex21c67094784

2321011001220 has 192 divisors, whose sum is σ = 7057832527872. Its totient is φ = 568567296000.

The previous prime is 2321011001203. The next prime is 2321011001263. The reversal of 2321011001220 is 221001101232.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2321011001220.

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 63 ways as a sum of consecutive naturals, for example, 2410330 + ... + 3232910.

It is an arithmetic number, because the mean of its divisors is an integer number (36759544416).

Almost surely, 22321011001220 is an apocalyptic number.

2321011001220 is a gapful number since it is divisible by the number (20) 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 2321011001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528916263936).

2321011001220 is an abundant number, since it is smaller than the sum of its proper divisors (4736821526652).

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

2321011001220 is a wasteful number, since it uses less digits than its factorization.

2321011001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822702 (or 822700 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2321011001220 its reverse (221001101232), we get a palindrome (2542012102452).

It can be divided in two parts, 232101 and 1001220, that added together give a palindrome (1233321).

The spelling of 2321011001220 in words is "two trillion, three hundred twenty-one billion, eleven million, one thousand, two hundred twenty".