Search a number
-
+
10310024040 = 2335691124337
BaseRepresentation
bin10011001101000011…
…00111101101101000
3222121112010111011020
421212201213231220
5132103331232130
64423015332440
7513330521061
oct114641475550
928545114136
1010310024040
114410815728
121bb8981120
13c83cb7a54
146db3c5568
154051ebe10
hex266867b68

10310024040 has 64 divisors (see below), whose sum is σ = 30975082560. Its totient is φ = 2745338880.

The previous prime is 10310024033. The next prime is 10310024047. The reversal of 10310024040 is 4042001301.

10310024040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10310024033) and next prime (10310024047).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10310024047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 20752 + ... + 145088.

It is an arithmetic number, because the mean of its divisors is an integer number (483985665).

Almost surely, 210310024040 is an apocalyptic number.

10310024040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10310024040 is an abundant number, since it is smaller than the sum of its proper divisors (20665058520).

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

10310024040 is a wasteful number, since it uses less digits than its factorization.

10310024040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125042 (or 125038 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10310024040 its reverse (4042001301), we get a palindrome (14352025341).

The spelling of 10310024040 in words is "ten billion, three hundred ten million, twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 691 1382 2073 2764 3455 4146 5528 6910 8292 10365 13820 16584 20730 27640 41460 82920 124337 248674 373011 497348 621685 746022 994696 1243370 1492044 1865055 2486740 2984088 3730110 4973480 7460220 14920440 85916867 171833734 257750601 343667468 429584335 515501202 687334936 859168670 1031002404 1288753005 1718337340 2062004808 2577506010 3436674680 5155012020 10310024040