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10310240240 = 24517109157443
BaseRepresentation
bin10011001101000100…
…11100011111110000
3222121112112110201122
421212202130133300
5132103410141430
64423024121412
7513332411306
oct114642343760
928545473648
1010310240240
114410953103
121bb8a66268
13c84062291
146db440276
15405240ee5
hex26689c7f0

10310240240 has 160 divisors (see below), whose sum is σ = 25835578560. Its totient is φ = 3812769792.

The previous prime is 10310240219. The next prime is 10310240249. The reversal of 10310240240 is 4204201301.

10310240240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10310240249) 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, 23273459 + ... + 23273901.

It is an arithmetic number, because the mean of its divisors is an integer number (161472366).

Almost surely, 210310240240 is an apocalyptic number.

10310240240 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 10310240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12917789280).

10310240240 is an abundant number, since it is smaller than the sum of its proper divisors (15525338320).

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

10310240240 is a wasteful number, since it uses less digits than its factorization.

10310240240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10310240240 its reverse (4204201301), we get a palindrome (14514441541).

The spelling of 10310240240 in words is "ten billion, three hundred ten million, two hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 109 136 157 170 218 272 314 340 436 443 545 628 680 785 872 886 1090 1256 1360 1570 1744 1772 1853 2180 2215 2512 2669 3140 3544 3706 4360 4430 5338 6280 7088 7412 7531 8720 8860 9265 10676 12560 13345 14824 15062 17113 17720 18530 21352 26690 29648 30124 34226 35440 37060 37655 42704 48287 53380 60248 68452 69551 74120 75310 85565 96574 106760 120496 136904 139102 148240 150620 171130 193148 213520 241435 273808 278204 290921 301240 342260 347755 386296 482870 556408 581842 602480 684520 695510 772592 820879 965740 1112816 1163684 1182367 1369040 1391020 1454605 1641758 1931480 2327368 2364734 2782040 2909210 3283516 3862960 4104395 4654736 4729468 5564080 5818420 5911835 6567032 7581059 8208790 9458936 11636840 11823670 13134064 15162118 16417580 18917872 23273680 23647340 30324236 32835160 37905295 47294680 60648472 65670320 75810590 94589360 121296944 128878003 151621180 257756006 303242360 515512012 606484720 644390015 1031024024 1288780030 2062048048 2577560060 5155120120 10310240240