Search a number
-
+
2031312000 = 27353101419
BaseRepresentation
bin111100100010011…
…0101110010000000
312020120021100012210
41321010311302000
513130003441000
6533322022120
7101223603264
oct17104656200
95216240183
102031312000
11952693853
12488347940
13264abb583
14153aca0a4
15bd4ea350
hex79135c80

2031312000 has 256 divisors, whose sum is σ = 6816700800. Its totient is φ = 535040000.

The previous prime is 2031311987. The next prime is 2031312007. The reversal of 2031312000 is 2131302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2031312007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4847791 + ... + 4848209.

Almost surely, 22031312000 is an apocalyptic number.

2031312000 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 2031312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3408350400).

2031312000 is an abundant number, since it is smaller than the sum of its proper divisors (4785388800).

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

2031312000 is a wasteful number, since it uses less digits than its factorization.

2031312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2031312000 is about 45070.0787662946. The cubic root of 2031312000 is about 1266.4621399535.

Adding to 2031312000 its reverse (2131302), we get a palindrome (2033443302).

The spelling of 2031312000 in words is "two billion, thirty-one million, three hundred twelve thousand".