Search a number
-
+
2118132781320 = 23351716320813061
BaseRepresentation
bin11110110100101010100…
…011010101000100001000
321111111021022111220222010
4132310222203111010020
5234200413443000240
64301020132255520
7306013206402153
oct36645243250410
97444238456863
102118132781320
1174732780a976
122a26124715a0
1312497b954aca
1474737c22c9a
153a16e09d280
hex1ed2a8d5108

2118132781320 has 256 divisors, whose sum is σ = 6774929268480. Its totient is φ = 527921971200.

The previous prime is 2118132781307. The next prime is 2118132781321. The reversal of 2118132781320 is 231872318112.

It is not an unprimeable number, because it can be changed into a prime (2118132781321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 691972590 + ... + 691975650.

It is an arithmetic number, because the mean of its divisors is an integer number (26464567455).

Almost surely, 22118132781320 is an apocalyptic number.

2118132781320 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 2118132781320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3387464634240).

2118132781320 is an abundant number, since it is smaller than the sum of its proper divisors (4656796487160).

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

2118132781320 is a wasteful number, since it uses less digits than its factorization.

2118132781320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5336 (or 5332 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 2118132781320 in words is "two trillion, one hundred eighteen billion, one hundred thirty-two million, seven hundred eighty-one thousand, three hundred twenty".