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2150311320 = 2333519432437
BaseRepresentation
bin1000000000101011…
…0010010110011000
312112212012010121000
42000022302112120
513400434430240
6553212345000
7104200226133
oct20012622630
95485163530
102150311320
11a038817a3
12500175160
13283654b81
1416582521a
15c8ba4430
hex802b2598

2150311320 has 256 divisors, whose sum is σ = 7723584000. Its totient is φ = 530385408.

The previous prime is 2150311309. The next prime is 2150311321. The reversal of 2150311320 is 231130512.

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 = 2150311293 and 2150311302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2150311321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 881142 + ... + 883578.

It is an arithmetic number, because the mean of its divisors is an integer number (30170250).

Almost surely, 22150311320 is an apocalyptic number.

2150311320 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 2150311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3861792000).

2150311320 is an abundant number, since it is smaller than the sum of its proper divisors (5573272680).

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

2150311320 is a wasteful number, since it uses less digits than its factorization.

2150311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2519 (or 2509 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2150311320 is about 46371.4494058575. The cubic root of 2150311320 is about 1290.7251736625.

Adding to 2150311320 its reverse (231130512), we get a palindrome (2381441832).

It can be divided in two parts, 21503 and 11320, that added together give a palindrome (32823).

The spelling of 2150311320 in words is "two billion, one hundred fifty million, three hundred eleven thousand, three hundred twenty".