Search a number
-
+
300222513100240 = 24512721295006793
BaseRepresentation
bin100010001000011010000000…
…0001111110011010111010000
31110100222222210010121021000221
41010100310000033303113100
5303322321201323201430
62542304152444122424
7120144234514560613
oct10420640017632720
91410888703537027
10300222513100240
118772971a951095
1229809174236414
13cb69b27966a83
14541cbc08a017a
1524a97234b657a
hex1110d003f35d0

300222513100240 has 40 divisors (see below), whose sum is σ = 698072216587848. Its totient is φ = 120079564615680.

The previous prime is 300222513100093. The next prime is 300222513100291. The reversal of 300222513100240 is 42001315222003.

It can be written as a sum of positive squares in 4 ways, for example, as 187409309821504 + 112813203278736 = 13689752^2 + 10621356^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 146485717 + ... + 148521076.

Almost surely, 2300222513100240 is an apocalyptic number.

It is an amenable number.

300222513100240 is an abundant number, since it is smaller than the sum of its proper divisors (397849703487608).

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

300222513100240 is a wasteful number, since it uses less digits than its factorization.

300222513100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295019527 (or 295019521 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 300222513100240 its reverse (42001315222003), we get a palindrome (342223828322243).

The spelling of 300222513100240 in words is "three hundred trillion, two hundred twenty-two billion, five hundred thirteen million, one hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 12721 25442 50884 63605 101768 127210 203536 254420 508840 1017680 295006793 590013586 1180027172 1475033965 2360054344 2950067930 4720108688 5900135860 11800271720 23600543440 3752781413753 7505562827506 15011125655012 18763907068765 30022251310024 37527814137530 60044502620048 75055628275060 150111256550120 300222513100240