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110320232220220 = 22511836199760313
BaseRepresentation
bin11001000101010111101110…
…010000001100011000111100
3112110121111210122222002100211
4121011113232100030120330
5103424441313422021340
61030344225351402204
732144242124500051
oct3105275620143074
9473544718862324
10110320232220220
1132173603055a50
1210458972683364
1349731cb9336b9
141d35756137028
15cb4a3820d5ea
hex6455ee40c63c

110320232220220 has 96 divisors (see below), whose sum is σ = 256191845172480. Its totient is φ = 39569085672960.

The previous prime is 110320232220197. The next prime is 110320232220227. The reversal of 110320232220220 is 22022232023011.

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 = 110320232220191 and 110320232220200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110320232220227) 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, 6422784 + ... + 16183096.

It is an arithmetic number, because the mean of its divisors is an integer number (2668665053880).

Almost surely, 2110320232220220 is an apocalyptic number.

110320232220220 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 110320232220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128095922586240).

110320232220220 is an abundant number, since it is smaller than the sum of its proper divisors (145871612952260).

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

110320232220220 is a wasteful number, since it uses less digits than its factorization.

110320232220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9761035 (or 9761033 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 110320232220220 its reverse (22022232023011), we get a palindrome (132342464243231).

The spelling of 110320232220220 in words is "one hundred ten trillion, three hundred twenty billion, two hundred thirty-two million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 110 166 220 332 415 619 830 913 1238 1660 1826 2476 3095 3652 4565 6190 6809 9130 12380 13618 18260 27236 34045 51377 68090 102754 136180 205508 256885 513770 565147 1027540 1130294 2260588 2825735 5651470 9760313 11302940 19520626 39041252 48801565 97603130 107363443 195206260 214726886 429453772 536817215 810105979 1073634430 1620211958 2147268860 3240423916 4050529895 6041633747 8101059790 8911165769 12083267494 16202119580 17822331538 24166534988 30208168735 35644663076 44555828845 60416337470 66457971217 89111657690 120832674940 132915942434 178223315380 265831884868 332289856085 501455601001 664579712170 1002911202002 1329159424340 2005822404004 2507278005005 5014556010010 5516011611011 10029112020020 11032023222022 22064046444044 27580058055055 55160116110110 110320232220220