Search a number
-
+
103344210340 = 22572988728697
BaseRepresentation
bin110000000111111001…
…0111000000110100100
3100212202020100211101221
41200033302320012210
53143122104212330
6115250425030124
710315652202610
oct1401762700644
9325666324357
10103344210340
113a9121268a8
1218041925344
13998c600b27
145005268340
152a4cb21b7a
hex180fcb81a4

103344210340 has 96 divisors (see below), whose sum is σ = 256876945920. Its totient is φ = 34170737664.

The previous prime is 103344210337. The next prime is 103344210341. The reversal of 103344210340 is 43012443301.

103344210340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (103344210341) 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, 3586872 + ... + 3615568.

It is an arithmetic number, because the mean of its divisors is an integer number (2675801520).

Almost surely, 2103344210340 is an apocalyptic number.

103344210340 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 103344210340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128438472960).

103344210340 is an abundant number, since it is smaller than the sum of its proper divisors (153532735580).

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

103344210340 is a wasteful number, since it uses less digits than its factorization.

103344210340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29629 (or 29627 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 103344210340 its reverse (43012443301), we get a palindrome (146356653641).

The spelling of 103344210340 in words is "one hundred three billion, three hundred forty-four million, two hundred ten thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 887 1015 1774 2030 3548 4060 4435 6209 8870 12418 17740 24836 25723 28697 31045 51446 57394 62090 102892 114788 124180 128615 143485 180061 200879 257230 286970 360122 401758 514460 573940 720244 803516 832213 900305 1004395 1664426 1800610 2008790 3328852 3601220 4017580 4161065 5825491 8322130 11650982 16644260 23301964 25454239 29127455 50908478 58254910 101816956 116509820 127271195 178179673 254542390 356359346 509084780 712718692 738172931 890898365 1476345862 1781796730 2952691724 3563593460 3690864655 5167210517 7381729310 10334421034 14763458620 20668842068 25836052585 51672105170 103344210340