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301331105140 = 225134012890189
BaseRepresentation
bin1000110001010001011…
…10111100010101110100
31001210210021122011201111
410120220232330111310
514414111230331030
6350232443204404
730525160063342
oct4305056742564
91053707564644
10301331105140
1110688060a29a
124a497216704
13225528378a0
1410827c3c992
157c8949562a
hex4628bbc574

301331105140 has 48 divisors (see below), whose sum is σ = 683171551440. Its totient is φ = 110983219200.

The previous prime is 301331105113. The next prime is 301331105147. The reversal of 301331105140 is 41501133103.

It can be written as a sum of positive squares in 8 ways, for example, as 9776463376 + 291554641764 = 98876^2 + 539958^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301331105147) 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 15 ways as a sum of consecutive naturals, for example, 1340835 + ... + 1549354.

It is an arithmetic number, because the mean of its divisors is an integer number (14232740655).

Almost surely, 2301331105140 is an apocalyptic number.

It is an amenable number.

301331105140 is an abundant number, since it is smaller than the sum of its proper divisors (381840446300).

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

301331105140 is a wasteful number, since it uses less digits than its factorization.

301331105140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890612 (or 2890610 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

Adding to 301331105140 its reverse (41501133103), we get a palindrome (342832238243).

The spelling of 301331105140 in words is "three hundred one billion, three hundred thirty-one million, one hundred five thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 401 802 1604 2005 4010 5213 8020 10426 20852 26065 52130 104260 2890189 5780378 11560756 14450945 28901890 37572457 57803780 75144914 150289828 187862285 375724570 751449140 1158965789 2317931578 4635863156 5794828945 11589657890 15066555257 23179315780 30133110514 60266221028 75332776285 150665552570 301331105140