Search a number
-
+
13220122302200 = 23521125723381893
BaseRepresentation
bin1100000001100000110010…
…1100011001011011111000
31201210211110001110002002202
43000120030230121123320
53213044302302132300
644041123525245332
72533056645322442
oct300301454313370
951724401402082
1013220122302200
114237693434410
121596194263848
1374b862b03c88
14339c00747492
1517dd44484ad5
hexc060cb196f8

13220122302200 has 96 divisors (see below), whose sum is σ = 33661509878160. Its totient is φ = 4788611481600.

The previous prime is 13220122302197. The next prime is 13220122302221. The reversal of 13220122302200 is 220322102231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11125547 + ... + 12256346.

Almost surely, 213220122302200 is an apocalyptic number.

13220122302200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13220122302200 is an abundant number, since it is smaller than the sum of its proper divisors (20441387575960).

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

13220122302200 is a wasteful number, since it uses less digits than its factorization.

13220122302200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23382177 (or 23382168 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13220122302200 its reverse (220322102231), we get a palindrome (13440444404431).

The spelling of 13220122302200 in words is "thirteen trillion, two hundred twenty billion, one hundred twenty-two million, three hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 257 275 440 514 550 1028 1100 1285 2056 2200 2570 2827 5140 5654 6425 10280 11308 12850 14135 22616 25700 28270 51400 56540 70675 113080 141350 282700 565400 23381893 46763786 93527572 116909465 187055144 233818930 257200823 467637860 514401646 584547325 935275720 1028803292 1169094650 1286004115 2057606584 2338189300 2572008230 4676378600 5144016460 6009146501 6430020575 10288032920 12018293002 12860041150 24036586004 25720082300 30045732505 48073172008 51440164600 60091465010 66100611511 120182930020 132201223022 150228662525 240365860040 264402446044 300457325050 330503057555 528804892088 600914650100 661006115110 1201829300200 1322012230220 1652515287775 2644024460440 3305030575550 6610061151100 13220122302200