Search a number
-
+
130122200112 = 24319487292973
BaseRepresentation
bin111100100101111100…
…0110011010000110000
3110102212102212122122220
41321023320303100300
54112442240400422
6135435522201040
712254356310622
oct1711370632060
9412772778586
10130122200112
1150203653963
12212757b3180
13c3692bbca8
1464257d8c12
1535b8950e5c
hex1e4be33430

130122200112 has 80 divisors (see below), whose sum is σ = 354568853760. Its totient is φ = 41006704896.

The previous prime is 130122200083. The next prime is 130122200129. The reversal of 130122200112 is 211002221031.

It is a junction number, because it is equal to n+sod(n) for n = 130122200091 and 130122200100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297658 + ... + 590630.

It is an arithmetic number, because the mean of its divisors is an integer number (4432110672).

Almost surely, 2130122200112 is an apocalyptic number.

130122200112 is a gapful number since it is divisible by the number (12) 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 130122200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177284426880).

130122200112 is an abundant number, since it is smaller than the sum of its proper divisors (224446653648).

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

130122200112 is a wasteful number, since it uses less digits than its factorization.

130122200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293490 (or 293484 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 130122200112 its reverse (211002221031), we get a palindrome (341124421143).

The spelling of 130122200112 in words is "one hundred thirty billion, one hundred twenty-two million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 487 912 974 1461 1948 2922 3896 5844 7792 9253 11688 18506 23376 27759 37012 55518 74024 111036 148048 222072 292973 444144 585946 878919 1171892 1757838 2343784 3515676 4687568 5566487 7031352 11132974 14062704 16699461 22265948 33398922 44531896 66797844 89063792 133595688 142677851 267191376 285355702 428033553 570711404 856067106 1141422808 1712134212 2282845616 2710879169 3424268424 5421758338 6848536848 8132637507 10843516676 16265275014 21687033352 32530550028 43374066704 65061100056 130122200112