Search a number
-
+
300122010320 = 2451119531492273
BaseRepresentation
bin1000101111000001010…
…10100111001011010000
31001200200000111210102212
410113200222213023100
514404122213312240
6345512452131252
730453205665506
oct4274052471320
91050600453385
10300122010320
11106310061480
124a1ba306b28
13223bc1aa872
1410751422676
157c18260165
hex45e0aa72d0

300122010320 has 320 divisors, whose sum is σ = 822242016000. Its totient is φ = 100715397120.

The previous prime is 300122010299. The next prime is 300122010337. The reversal of 300122010320 is 23010221003.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 300122010295 and 300122010304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132036704 + ... + 132038976.

It is an arithmetic number, because the mean of its divisors is an integer number (2569506300).

Almost surely, 2300122010320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300122010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411121008000).

300122010320 is an abundant number, since it is smaller than the sum of its proper divisors (522120005680).

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

300122010320 is a wasteful number, since it uses less digits than its factorization.

300122010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518 (or 2512 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 300122010320 its reverse (23010221003), we get a palindrome (323132231323).

The spelling of 300122010320 in words is "three hundred billion, one hundred twenty-two million, ten thousand, three hundred twenty".