Search a number
-
+
123010022220 = 223517461261601
BaseRepresentation
bin111001010001111110…
…1111111101101001100
3102202111210001120201220
41302203331333231030
54003411031202340
6132302055403340
711613205636251
oct1624375775514
9382453046656
10123010022220
1148193a50398
121ba0b983550
13b7a499a5c7
145d4cddb428
1532ee378ed0
hex1ca3f7fb4c

123010022220 has 96 divisors (see below), whose sum is σ = 365481014976. Its totient is φ = 30806016000.

The previous prime is 123010022207. The next prime is 123010022257. The reversal of 123010022220 is 22220010321.

It is a happy number.

123010022220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 123010022220.

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, 339420 + ... + 601020.

It is an arithmetic number, because the mean of its divisors is an integer number (3807093906).

Almost surely, 2123010022220 is an apocalyptic number.

123010022220 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 123010022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182740507488).

123010022220 is an abundant number, since it is smaller than the sum of its proper divisors (242470992756).

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

123010022220 is a wasteful number, since it uses less digits than its factorization.

123010022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262091 (or 262089 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 123010022220 its reverse (22220010321), we get a palindrome (145230032541).

The spelling of 123010022220 in words is "one hundred twenty-three billion, ten million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 461 510 922 1020 1383 1844 2305 2766 4610 5532 6915 7837 9220 13830 15674 23511 27660 31348 39185 47022 78370 94044 117555 156740 235110 261601 470220 523202 784803 1046404 1308005 1569606 2616010 3139212 3924015 4447217 5232020 7848030 8894434 13341651 15696060 17788868 22236085 26683302 44472170 53366604 66708255 88944340 120598061 133416510 241196122 266833020 361794183 482392244 602990305 723588366 1205980610 1447176732 1808970915 2050167037 2411961220 3617941830 4100334074 6150501111 7235883660 8200668148 10250835185 12301002222 20501670370 24602004444 30752505555 41003340740 61505011110 123010022220