Search a number
-
+
2413340100 = 22325219141131
BaseRepresentation
bin1000111111011000…
…1010010111000100
320020012010101020200
42033312022113010
514420303340400
61035250130500
7113543023653
oct21766122704
96205111220
102413340100
1110292a4156
12574280a30
132c5ca98c2
1418c73319a
15e1d0db00
hex8fd8a5c4

2413340100 has 108 divisors (see below), whose sum is σ = 7962667440. Its totient is φ = 609681600.

The previous prime is 2413340089. The next prime is 2413340117. The reversal of 2413340100 is 10433142.

2413340100 is digitally balanced in base 2 and base 4, because in such bases 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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53466 + ... + 87665.

Almost surely, 22413340100 is an apocalyptic number.

2413340100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2413340100 is an abundant number, since it is smaller than the sum of its proper divisors (5549327340).

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

2413340100 is a wasteful number, since it uses less digits than its factorization.

2413340100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141170 (or 141160 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2413340100 is about 49125.7580094191. The cubic root of 2413340100 is about 1341.3419577789.

Adding to 2413340100 its reverse (10433142), we get a palindrome (2423773242).

The spelling of 2413340100 in words is "two billion, four hundred thirteen million, three hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 30 36 38 45 50 57 60 75 76 90 95 100 114 150 171 180 190 225 228 285 300 342 380 450 475 570 684 855 900 950 1140 1425 1710 1900 2850 3420 4275 5700 8550 17100 141131 282262 423393 564524 705655 846786 1270179 1411310 1693572 2116965 2540358 2681489 2822620 3528275 4233930 5080716 5362978 6350895 7056550 8044467 8467860 10584825 10725956 12701790 13407445 14113100 16088934 21169650 24133401 25403580 26814890 31754475 32177868 40222335 42339300 48266802 53629780 63508950 67037225 80444670 96533604 120667005 127017900 134074450 160889340 201111675 241334010 268148900 402223350 482668020 603335025 804446700 1206670050 2413340100