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5310134010 = 234536717863
BaseRepresentation
bin1001111001000001…
…00011011011111010
3111201001221202110000
410330200203123322
541333343242020
62234530333430
7245406252156
oct47440433372
914631852400
105310134010
112285483305
12104242a276
1366819723c
14385352066
152112b8090
hex13c8236fa

5310134010 has 80 divisors (see below), whose sum is σ = 14318067456. Its totient is φ = 1412098272.

The previous prime is 5310134009. The next prime is 5310134083. The reversal of 5310134010 is 104310135.

5310134010 is a `hidden beast` number, since 5 + 310 + 1 + 340 + 10 = 666.

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

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 39 ways as a sum of consecutive naturals, for example, 288339 + ... + 306201.

Almost surely, 25310134010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5310134010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7159033728).

5310134010 is an abundant number, since it is smaller than the sum of its proper divisors (9007933446).

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

5310134010 is a wasteful number, since it uses less digits than its factorization.

5310134010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18249 (or 18240 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5310134010 is about 72870.6663205435. Note that the first 3 decimals coincide. The cubic root of 5310134010 is about 1744.6239379212.

Adding to 5310134010 its reverse (104310135), we get a palindrome (5414444145).

The spelling of 5310134010 in words is "five billion, three hundred ten million, one hundred thirty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 367 405 734 810 1101 1835 2202 3303 3670 5505 6606 9909 11010 16515 17863 19818 29727 33030 35726 49545 53589 59454 89315 99090 107178 148635 160767 178630 267945 297270 321534 482301 535890 803835 964602 1446903 1607670 2411505 2893806 4823010 6555721 7234515 13111442 14469030 19667163 32778605 39334326 59001489 65557210 98335815 118002978 177004467 196671630 295007445 354008934 531013401 590014890 885022335 1062026802 1770044670 2655067005 5310134010