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5130120042 = 2331912739371
BaseRepresentation
bin1001100011100011…
…10110101101101010
3111020112020002201000
410301301312231222
541001302320132
62205020135430
7241062205125
oct46161665552
914215202630
105130120042
1121a2901133
12bb2097576
13639ab9bb8
143694933bc
152005aa87c
hex131c76b6a

5130120042 has 64 divisors (see below), whose sum is σ = 12095078400. Its totient is φ = 1607240880.

The previous prime is 5130120019. The next prime is 5130120043. The reversal of 5130120042 is 2400210315.

It is a Harshad number since it is a multiple of its sum of digits (18).

5130120042 is a modest number, since divided by 120042 gives 5130 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 5130119997 and 5130120024.

It is not an unprimeable number, because it can be changed into a prime (5130120043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110617 + ... + 149987.

It is an arithmetic number, because the mean of its divisors is an integer number (188985600).

Almost surely, 25130120042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5130120042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6047539200).

5130120042 is an abundant number, since it is smaller than the sum of its proper divisors (6964958358).

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

5130120042 is a wasteful number, since it uses less digits than its factorization.

5130120042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39528 (or 39522 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5130120042 is about 71624.8563139920. The cubic root of 5130120042 is about 1724.6825759977.

Adding to 5130120042 its reverse (2400210315), we get a palindrome (7530330357).

The spelling of 5130120042 in words is "five billion, one hundred thirty million, one hundred twenty thousand, forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 127 171 254 342 381 513 762 1026 1143 2286 2413 3429 4826 6858 7239 14478 21717 39371 43434 65151 78742 118113 130302 236226 354339 708678 748049 1063017 1496098 2126034 2244147 4488294 5000117 6732441 10000234 13464882 15000351 20197323 30000702 40394646 45001053 90002106 95002223 135003159 190004446 270006318 285006669 570013338 855020007 1710040014 2565060021 5130120042