Search a number
-
+
2320023120000 = 27354192512027
BaseRepresentation
bin100001110000101100001…
…001110110100010000000
322012210101101210202122020
4201300230021312202000
5301002401404320000
64533445351041440
7326421223066515
oct41605411664200
98183341722566
102320023120000
11814a09628543
12315777070280
1313aa147a4181
148040adb530c
1540538472ba0
hex21c2c276880

2320023120000 has 640 divisors, whose sum is σ = 8142348614400. Its totient is φ = 583488000000.

The previous prime is 2320023119987. The next prime is 2320023120059. The reversal of 2320023120000 is 213200232.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1144558987 + ... + 1144561013.

It is an arithmetic number, because the mean of its divisors is an integer number (12722419710).

Almost surely, 22320023120000 is an apocalyptic number.

2320023120000 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 2320023120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4071174307200).

2320023120000 is an abundant number, since it is smaller than the sum of its proper divisors (5822325494400).

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

2320023120000 is a wasteful number, since it uses less digits than its factorization.

2320023120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334 (or 2307 counting only the distinct ones).

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

Adding to 2320023120000 its reverse (213200232), we get a palindrome (2320236320232).

The spelling of 2320023120000 in words is "two trillion, three hundred twenty billion, twenty-three million, one hundred twenty thousand".