Search a number
-
+
120122421034 = 2711192315711369
BaseRepresentation
bin110111111011111011…
…0101010111100101010
3102111001112112020120211
41233313312222330222
53432002314433114
6131103344211334
711451513506020
oct1576766527452
9374045466524
10120122421034
1146a41a7a930
121b344909b4a
13b43467b255
145b576d2710
1531d0ad86c4
hex1bf7daaf2a

120122421034 has 128 divisors (see below), whose sum is σ = 248342630400. Its totient is φ = 42136174080.

The previous prime is 120122420989. The next prime is 120122421113. The reversal of 120122421034 is 430124221021.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 120122420996 and 120122421014.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10560102 + ... + 10571470.

It is an arithmetic number, because the mean of its divisors is an integer number (1940176800).

Almost surely, 2120122421034 is an apocalyptic number.

120122421034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

120122421034 is an abundant number, since it is smaller than the sum of its proper divisors (128220209366).

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

120122421034 is a wasteful number, since it uses less digits than its factorization.

120122421034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11588.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 120122421034 its reverse (430124221021), we get a palindrome (550246642055).

The spelling of 120122421034 in words is "one hundred twenty billion, one hundred twenty-two million, four hundred twenty-one thousand, thirty-four".

Divisors: 1 2 7 11 14 19 22 23 38 46 77 133 154 157 161 209 253 266 314 322 418 437 506 874 1099 1463 1727 1771 2198 2926 2983 3059 3454 3542 3611 4807 5966 6118 7222 9614 11369 12089 20881 22738 24178 25277 32813 33649 39721 41762 50554 65626 67298 68609 79442 79583 125059 137218 159166 216011 229691 250118 261487 278047 432022 459382 480263 522974 556094 754699 875413 960526 1509398 1512077 1750826 1784933 1830409 2376121 2876357 3024154 3569866 3660818 4752242 4968253 5282893 5752714 9936506 10565786 12494531 16632847 19634263 20134499 24989062 33265694 33913727 34777771 39268526 40268998 41053459 54650783 67827454 69555542 82106918 109301566 137439841 237396089 274879682 287374213 373050997 382555481 451588049 474792178 574748426 746101994 765110962 780015721 903176098 1560031442 2611356979 3161116343 5222713958 5460110047 6322232686 8580172931 10920220094 17160345862 60061210517 120122421034