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2123004345 = 3571110118199
BaseRepresentation
bin111111010001010…
…0111100110111001
312110221210210110120
41332202213212321
513321442114340
6550355203453
7103416145020
oct17642474671
95427723416
102123004345
1199a420650
124b2ba6589
1327aab38b7
14161d578b7
15c65ad4d0
hex7e8a79b9

2123004345 has 64 divisors (see below), whose sum is σ = 4277145600. Its totient is φ = 873504000.

The previous prime is 2123004307. The next prime is 2123004347. The reversal of 2123004345 is 5434003212.

It is not a de Polignac number, because 2123004345 - 210 = 2123003321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2123004347) 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 63 ways as a sum of consecutive naturals, for example, 107556 + ... + 125754.

It is an arithmetic number, because the mean of its divisors is an integer number (66830400).

Almost surely, 22123004345 is an apocalyptic number.

It is an amenable number.

2123004345 is an abundant number, since it is smaller than the sum of its proper divisors (2154141255).

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

2123004345 is a wasteful number, since it uses less digits than its factorization.

2123004345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18326.

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2123004345 is about 46076.0712843445. The cubic root of 2123004345 is about 1285.2382072388.

Adding to 2123004345 its reverse (5434003212), we get a palindrome (7557007557).

The spelling of 2123004345 in words is "two billion, one hundred twenty-three million, four thousand, three hundred forty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 101 105 165 231 303 385 505 707 1111 1155 1515 2121 3333 3535 5555 7777 10605 16665 18199 23331 38885 54597 90995 116655 127393 200189 272985 382179 600567 636965 1000945 1401323 1838099 1910895 3002835 4203969 5514297 7006615 9190495 12866693 20219089 21019845 27571485 38600079 60657267 64333465 101095445 141533623 193000395 303286335 424600869 707668115 2123004345