Search a number
-
+
1122122330130 = 2351716713175089
BaseRepresentation
bin10000010101000011101…
…100111111000000010010
310222021101122010120121010
4100111003230333000102
5121341101304031010
62215255035511350
7144033144300564
oct20250354770022
93867348116533
101122122330130
113a298689005a
121615845b8556
1381a7b08b949
143c44d5ad334
151e2c7be5620
hex10543b3f012

1122122330130 has 64 divisors (see below), whose sum is σ = 2868585995520. Its totient is φ = 279944269824.

The previous prime is 1122122330081. The next prime is 1122122330183. The reversal of 1122122330130 is 310332212211.

It is a junction number, because it is equal to n+sod(n) for n = 1122122330097 and 1122122330106.

It is an unprimeable number.

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, 6502375 + ... + 6672714.

It is an arithmetic number, because the mean of its divisors is an integer number (44821656180).

Almost surely, 21122122330130 is an apocalyptic number.

1122122330130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1122122330130 is an abundant number, since it is smaller than the sum of its proper divisors (1746463665390).

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

1122122330130 is a wasteful number, since it uses less digits than its factorization.

1122122330130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13175283.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1122122330130 its reverse (310332212211), we get a palindrome (1432454542341).

The spelling of 1122122330130 in words is "one trillion, one hundred twenty-two billion, one hundred twenty-two million, three hundred thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 167 170 255 334 501 510 835 1002 1670 2505 2839 5010 5678 8517 14195 17034 28390 42585 85170 13175089 26350178 39525267 65875445 79050534 131750890 197626335 223976513 395252670 447953026 671929539 1119882565 1343859078 2200239863 2239765130 3359647695 4400479726 6600719589 6719295390 11001199315 13201439178 22002398630 33003597945 37404077671 66007195890 74808155342 112212233013 187020388355 224424466026 374040776710 561061165065 1122122330130