Search a number
-
+
114223122242100 = 223252196679714751
BaseRepresentation
bin11001111110001010100100…
…101000000101101000110100
3112222102121211210002202202200
4121332022210220011220310
5104432412423243221400
61042533213345504500
733026230310346354
oct3176124450055064
9488377753082680
10114223122242100
1133438832795753
1210989258642130
134b9726a8a8801
14202c600190b64
15d31313a4bb00
hex67e2a4a05a34

114223122242100 has 108 divisors (see below), whose sum is σ = 376869506307840. Its totient is φ = 28856367720000.

The previous prime is 114223122242059. The next prime is 114223122242143. The reversal of 114223122242100 is 1242221322411.

114223122242100 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 2 + 312 + 2 + 242 + 100 = 666.

It is a congruent number.

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, 3339840276 + ... + 3339874475.

Almost surely, 2114223122242100 is an apocalyptic number.

114223122242100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114223122242100 is an abundant number, since it is smaller than the sum of its proper divisors (262646384065740).

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

114223122242100 is a wasteful number, since it uses less digits than its factorization.

114223122242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6679714790 (or 6679714780 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 114223122242100 its reverse (1242221322411), we get a palindrome (115465343564511).

The spelling of 114223122242100 in words is "one hundred fourteen trillion, two hundred twenty-three billion, one hundred twenty-two million, two hundred forty-two 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 6679714751 13359429502 20039144253 26718859004 33398573755 40078288506 60117432759 66797147510 80156577012 100195721265 120234865518 126914580269 133594295020 166992868775 200391442530 240469731036 253829160538 300587163795 333985737550 380743740807 400782885060 500978606325 507658321076 601174327590 634572901345 667971475100 761487481614 1001957212650 1142231222421 1202348655180 1269145802690 1502935818975 1522974963228 1903718704035 2003914425300 2284462444842 2538291605380 3005871637950 3172864506725 3807437408070 4568924889684 5711156112105 6011743275900 6345729013450 7614874816140 9518593520175 11422312224210 12691458026900 19037187040350 22844624448420 28555780560525 38074374080700 57111561121050 114223122242100