Search a number
-
+
301130134512 = 243192343563593
BaseRepresentation
bin1000110000111001100…
…00010011001111110000
31001210021021110210211220
410120130300103033300
514413203303301022
6350200503505040
730520166624214
oct4303460231760
91053237423756
10301130134512
11106788124069
124a43ba58180
132252000085c
1410809286944
157c769e885c
hex461cc133f0

301130134512 has 320 divisors, whose sum is σ = 877366702080. Its totient is φ = 88536526848.

The previous prime is 301130134453. The next prime is 301130134537. The reversal of 301130134512 is 215431031103.

It is a super-2 number, since 2×3011301345122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 507807688 + ... + 507808280.

It is an arithmetic number, because the mean of its divisors is an integer number (2741770944).

Almost surely, 2301130134512 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 301130134512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438683351040).

301130134512 is an abundant number, since it is smaller than the sum of its proper divisors (576236567568).

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

301130134512 is a wasteful number, since it uses less digits than its factorization.

301130134512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 301130134512 its reverse (215431031103), we get a palindrome (516561165615).

The spelling of 301130134512 in words is "three hundred one billion, one hundred thirty million, one hundred thirty-four thousand, five hundred twelve".