Search a number
-
+
1301321031120 = 2432511831979617
BaseRepresentation
bin10010111011111100110…
…001110001110111010000
311121101221022002210020200
4102323330301301313100
5132310101140443440
62433452453535200
7163005643154145
oct22737461616720
94541838083220
101301321031120
11461983884450
12190255944500
13959389b6c66
1446dacbc23cc
1523cb4dbbc30
hex12efcc71dd0

1301321031120 has 240 divisors, whose sum is σ = 4825010054592. Its totient is φ = 311670743040.

The previous prime is 1301321031097. The next prime is 1301321031121. The reversal of 1301321031120 is 211301231031.

1301321031120 is a `hidden beast` number, since 1 + 30 + 1 + 321 + 0 + 311 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 1301321031093 and 1301321031102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301321031121) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 332449 + ... + 1647168.

Almost surely, 21301321031120 is an apocalyptic number.

1301321031120 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 1301321031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412505027296).

1301321031120 is an abundant number, since it is smaller than the sum of its proper divisors (3523689023472).

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

1301321031120 is a wasteful number, since it uses less digits than its factorization.

1301321031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979730 (or 1979721 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1301321031120 its reverse (211301231031), we get a palindrome (1512622262151).

The spelling of 1301321031120 in words is "one trillion, three hundred one billion, three hundred twenty-one million, thirty-one thousand, one hundred twenty".