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10311013240 = 23511671013463
BaseRepresentation
bin10011001101001010…
…11001001101111000
3222121120222202002021
421212211121031320
5132104104410430
64423052444224
7513342111043
oct114645311570
928546882067
1010311013240
114411330950
121bb9179674
13c84273088
146db5a1c5a
1540534507a
hex266959378

10311013240 has 128 divisors (see below), whose sum is σ = 25948408320. Its totient is φ = 3655872000.

The previous prime is 10311013217. The next prime is 10311013243. The reversal of 10311013240 is 4231011301.

10311013240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10311013243) 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 31 ways as a sum of consecutive naturals, for example, 2975749 + ... + 2979211.

It is an arithmetic number, because the mean of its divisors is an integer number (202721940).

Almost surely, 210311013240 is an apocalyptic number.

10311013240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10311013240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12974204160).

10311013240 is an abundant number, since it is smaller than the sum of its proper divisors (15637395080).

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

10311013240 is a wasteful number, since it uses less digits than its factorization.

10311013240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3653 (or 3649 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10311013240 its reverse (4231011301), we get a palindrome (14542024541).

The spelling of 10311013240 in words is "ten billion, three hundred eleven million, thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 67 88 101 110 134 202 220 268 335 404 440 505 536 670 737 808 1010 1111 1340 1474 2020 2222 2680 2948 3463 3685 4040 4444 5555 5896 6767 6926 7370 8888 11110 13534 13852 14740 17315 22220 27068 27704 29480 33835 34630 38093 44440 54136 67670 69260 74437 76186 135340 138520 148874 152372 190465 232021 270680 297748 304744 349763 372185 380930 464042 595496 699526 744370 761860 928084 1160105 1399052 1488740 1523720 1748815 1856168 2320210 2552231 2798104 2977480 3497630 3847393 4640420 5104462 6995260 7694786 9280840 10208924 12761155 13990520 15389572 19236965 20417848 23434121 25522310 30779144 38473930 46868242 51044620 76947860 93736484 102089240 117170605 153895720 187472968 234341210 257775331 468682420 515550662 937364840 1031101324 1288876655 2062202648 2577753310 5155506620 10311013240