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2310052140 = 22325112172367
BaseRepresentation
bin1000100110110000…
…1001100100101100
312221222202210210200
42021230021210230
514212333132030
61021120233500
7111150055614
oct21154114454
95858683720
102310052140
11a85a67400
1254576b890
132aa784676
1417cb27a44
15d7c09d60
hex89b0992c

2310052140 has 324 divisors, whose sum is σ = 8204091168. Its totient is φ = 525634560.

The previous prime is 2310052133. The next prime is 2310052153. The reversal of 2310052140 is 412500132.

2310052140 is a `hidden beast` number, since 2 + 3 + 100 + 521 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 6294237 + ... + 6294603.

Almost surely, 22310052140 is an apocalyptic number.

2310052140 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 2310052140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4102045584).

2310052140 is an abundant number, since it is smaller than the sum of its proper divisors (5894039028).

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

2310052140 is a wasteful number, since it uses less digits than its factorization.

2310052140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2310052140 is about 48063.0017789151. The cubic root of 2310052140 is about 1321.9263540567.

Adding to 2310052140 its reverse (412500132), we get a palindrome (2722552272).

The spelling of 2310052140 in words is "two billion, three hundred ten million, fifty-two thousand, one hundred forty".