Search a number
-
+
2030022132000 = 25353295357287
BaseRepresentation
bin11101100010100110101…
…111111000000100100000
321012001211201210011201220
4131202212233320010200
5231224441131211000
64152325043255040
7266443561262502
oct35424657700440
97161751704656
102030022132000
11712a22630a25
1228952237a480
131195793a8115
1470379c19d72
1537c13a291a0
hex1d8a6bf8120

2030022132000 has 192 divisors, whose sum is σ = 6652720698624. Its totient is φ = 541146470400.

The previous prime is 2030022131971. The next prime is 2030022132001. The reversal of 2030022132000 is 2312200302.

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

It is not an unprimeable number, because it can be changed into a prime (2030022132001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35407357 + ... + 35464643.

It is an arithmetic number, because the mean of its divisors is an integer number (34649586972).

Almost surely, 22030022132000 is an apocalyptic number.

2030022132000 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 2030022132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326360349312).

2030022132000 is an abundant number, since it is smaller than the sum of its proper divisors (4622698566624).

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

2030022132000 is a wasteful number, since it uses less digits than its factorization.

2030022132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60268 (or 60250 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 2030022132000 its reverse (2312200302), we get a palindrome (2032334332302).

The spelling of 2030022132000 in words is "two trillion, thirty billion, twenty-two million, one hundred thirty-two thousand".