Search a number
-
+
110121224130 = 232523151352309
BaseRepresentation
bin110011010001110111…
…1001000011111000010
3101112020112111210121200
41212203233020133002
53301012013133010
6122331120002030
710645622650401
oct1464357103702
9345215453550
10110121224130
114277a618645
1219413460316
13a4cc662068
14548933b638
152ce7a90cc0
hex19a3bc87c2

110121224130 has 96 divisors (see below), whose sum is σ = 300743089920. Its totient is φ = 27902793600.

The previous prime is 110121224123. The next prime is 110121224141. The reversal of 110121224130 is 31422121011.

110121224130 is a `hidden beast` number, since 110 + 121 + 22 + 413 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 136416 + ... + 488724.

It is an arithmetic number, because the mean of its divisors is an integer number (3132740520).

Almost surely, 2110121224130 is an apocalyptic number.

110121224130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110121224130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150371544960).

110121224130 is an abundant number, since it is smaller than the sum of its proper divisors (190621865790).

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

110121224130 is a wasteful number, since it uses less digits than its factorization.

110121224130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352496 (or 352493 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 110121224130 its reverse (31422121011), we get a palindrome (141543345141).

The spelling of 110121224130 in words is "one hundred ten billion, one hundred twenty-one million, two hundred twenty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 151 207 230 302 345 414 453 690 755 906 1035 1359 1510 2070 2265 2718 3473 4530 6795 6946 10419 13590 17365 20838 31257 34730 52095 62514 104190 156285 312570 352309 704618 1056927 1761545 2113854 3170781 3523090 5284635 6341562 8103107 10569270 15853905 16206214 24309321 31707810 40515535 48618642 53198659 72927963 81031070 106397318 121546605 145855926 159595977 243093210 265993295 319191954 364639815 478787931 531986590 729279630 797979885 957575862 1223569157 1595959770 2393939655 2447138314 3670707471 4787879310 6117845785 7341414942 11012122413 12235691570 18353537355 22024244826 36707074710 55060612065 110121224130