Search a number
-
+
2130224044410 = 23357211174121001
BaseRepresentation
bin11110111111111011001…
…111110101100101111010
321112122110222100201202000
4132333323033311211322
5234400144323410120
64310340022121430
7306621636422100
oct36777317654572
97478428321660
102130224044410
11751471a35890
122a4a27880276
13125b57991457
14751639d9c70
153a62a849990
hex1effb3f597a

2130224044410 has 768 divisors, whose sum is σ = 7819357109760. Its totient is φ = 406425600000.

The previous prime is 2130224044397. The next prime is 2130224044469. The reversal of 2130224044410 is 144404220312.

2130224044410 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 2 + 240 + 4 + 4 + 410 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 101423910 + ... + 101444910.

It is an arithmetic number, because the mean of its divisors is an integer number (10181454570).

Almost surely, 22130224044410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130224044410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3909678554880).

2130224044410 is an abundant number, since it is smaller than the sum of its proper divisors (5689133065350).

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

2130224044410 is a wasteful number, since it uses less digits than its factorization.

2130224044410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21100 (or 21087 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2130224044410 its reverse (144404220312), we get a palindrome (2274628264722).

The spelling of 2130224044410 in words is "two trillion, one hundred thirty billion, two hundred twenty-four million, forty-four thousand, four hundred ten".