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101123202220 = 225175943911483
BaseRepresentation
bin101111000101101101…
…0011001110010101100
3100200000110010221000221
41132023122121302230
53124100014432340
6114242205101124
710206633015355
oct1361332316254
9320013127027
10101123202220
11399824585a7
1217721b577a4
1396c7425241
144c742bcd2c
15296cb5544a
hex178b699cac

101123202220 has 96 divisors (see below), whose sum is σ = 229202265600. Its totient is φ = 37336157184.

The previous prime is 101123202197. The next prime is 101123202221. The reversal of 101123202220 is 22202321101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101123202194 and 101123202203.

It is not an unprimeable number, because it can be changed into a prime (101123202221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8800599 + ... + 8812081.

It is an arithmetic number, because the mean of its divisors is an integer number (2387523600).

Almost surely, 2101123202220 is an apocalyptic number.

101123202220 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 101123202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114601132800).

101123202220 is an abundant number, since it is smaller than the sum of its proper divisors (128079063380).

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

101123202220 is a wasteful number, since it uses less digits than its factorization.

101123202220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12007 (or 12005 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 101123202220 its reverse (22202321101), we get a palindrome (123325523321).

It can be divided in two parts, 101 and 123202220, that added together give a palindrome (123202321).

The spelling of 101123202220 in words is "one hundred one billion, one hundred twenty-three million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 59 68 85 118 170 236 295 340 439 590 878 1003 1180 1756 2006 2195 4012 4390 5015 7463 8780 10030 11483 14926 20060 22966 25901 29852 37315 45932 51802 57415 74630 103604 114830 129505 149260 195211 229660 259010 390422 440317 518020 677497 780844 880634 976055 1354994 1761268 1952110 2201585 2709988 3387485 3904220 4403170 5041037 6774970 8806340 10082074 11517449 13549940 20164148 23034898 25205185 46069796 50410370 57587245 85697629 100820740 115174490 171395258 230348980 297421183 342790516 428488145 594842366 856976290 1189684732 1487105915 1713952580 2974211830 5056160111 5948423660 10112320222 20224640444 25280800555 50561601110 101123202220