Search a number
-
+
110002122020 = 225717210924943
BaseRepresentation
bin110011001110010100…
…0110010110100100100
3101111221020101210020102
41212130220302310210
53300241020401040
6122311223123232
710642645416050
oct1463450626444
9344836353212
10110002122020
114271936a44a
121939b5a3518
13a4b0a90a3b
1454775b6c60
152cdc3b6515
hex199ca32d24

110002122020 has 144 divisors (see below), whose sum is σ = 283032583680. Its totient is φ = 35169417216.

The previous prime is 110002121921. The next prime is 110002122023. The reversal of 110002122020 is 20221200011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 110002121992 and 110002122010.

It is not an unprimeable number, because it can be changed into a prime (110002122023) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4397669 + ... + 4422611.

Almost surely, 2110002122020 is an apocalyptic number.

110002122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110002122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141516291840).

110002122020 is an abundant number, since it is smaller than the sum of its proper divisors (173030461660).

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

110002122020 is a wasteful number, since it uses less digits than its factorization.

110002122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25102 (or 25083 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 110002122020 its reverse (20221200011), we get a palindrome (130223322031).

The spelling of 110002122020 in words is "one hundred ten billion, two million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 109 119 140 170 218 238 289 340 436 476 545 578 595 763 1090 1156 1190 1445 1526 1853 2023 2180 2380 2890 3052 3706 3815 4046 5780 7412 7630 8092 9265 10115 12971 15260 18530 20230 24943 25942 31501 37060 40460 49886 51884 63002 64855 99772 124715 126004 129710 157505 174601 220507 249430 259420 315010 349202 424031 441014 498860 630020 698404 848062 873005 882028 1102535 1696124 1746010 2120155 2205070 2718787 2968217 3492020 4240310 4410140 5437574 5936434 7208527 8480620 10875148 11872868 13593935 14417054 14841085 19031509 27187870 28834108 29682170 36042635 38063018 46219379 50459689 54375740 59364340 72085270 76126036 92438758 95157545 100919378 144170540 184877516 190315090 201838756 231096895 252298445 323535653 380630180 462193790 504596890 647071306 785729443 924387580 1009193780 1294142612 1571458886 1617678265 3142917772 3235356530 3928647215 5500106101 6470713060 7857294430 11000212202 15714588860 22000424404 27500530505 55001061010 110002122020