Search a number
-
+
110101122210020 = 22553911235148497
BaseRepresentation
bin11001000010001011101010…
…010001110101100011100100
3112102211120020111211022002212
4121002023222101311203210
5103412344044241210040
61030055431323422552
732122354306233434
oct3102135221654344
9472746214738085
10110101122210020
1132099695180297
1210422403084a58
134958650439ba6
141d28ccc0422c4
15cadeb221dd65
hex6422ea4758e4

110101122210020 has 96 divisors (see below), whose sum is σ = 235938620123136. Its totient is φ = 43142817536000.

The previous prime is 110101122209983. The next prime is 110101122210061. The reversal of 110101122210020 is 20012221101011.

It is a super-2 number, since 2×1101011222100202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110101122209977 and 110101122210004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2270242412 + ... + 2270290908.

It is an arithmetic number, because the mean of its divisors is an integer number (2457693959616).

Almost surely, 2110101122210020 is an apocalyptic number.

110101122210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110101122210020 is an abundant number, since it is smaller than the sum of its proper divisors (125837497913116).

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

110101122210020 is a wasteful number, since it uses less digits than its factorization.

110101122210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51821 (or 51819 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 110101122210020 its reverse (20012221101011), we get a palindrome (130113343311031).

The spelling of 110101122210020 in words is "one hundred ten trillion, one hundred one billion, one hundred twenty-two million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 911 1060 1822 2351 3644 4555 4702 9110 9404 11755 18220 23510 47020 48283 48497 96566 96994 124603 193132 193988 241415 242485 249206 482830 484970 498412 623015 965660 969940 1246030 2141761 2492060 2570341 4283522 5140682 8567044 10281364 10708805 12851705 21417610 25703410 42835220 44180767 51406820 88361534 113513333 114016447 176723068 220903835 227026666 228032894 441807670 454053332 456065788 567566665 570082235 883615340 1135133330 1140164470 2270266660 2280328940 2341580651 4683161302 6042871691 9366322604 11707903255 12085743382 23415806510 24171486764 30214358455 46831613020 60428716910 103868983217 120857433820 207737966434 415475932868 519344916085 1038689832170 2077379664340 5505056110501 11010112221002 22020224442004 27525280552505 55050561105010 110101122210020