Search a number
-
+
123131011000130 = 25718179071229077
BaseRepresentation
bin11011111111110010101100…
…001010111110011101000010
3121010222012122212100200110122
4123333302230022332131002
5112114334302304001010
61113513334444500242
734635631144442660
oct3377625412763502
9533865585320418
10123131011000130
1136262628766411
121198774654a682
135392287420413
142259803803c30
15e37dc0863855
hex6ffcac2be742

123131011000130 has 64 divisors (see below), whose sum is σ = 254729935579392. Its totient is φ = 41977763377920.

The previous prime is 123131011000103. The next prime is 123131011000133. The reversal of 123131011000130 is 31000110131321.

It is a super-2 number, since 2×1231310110001302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123131011000099 and 123131011000108.

It is not an unprimeable number, because it can be changed into a prime (123131011000133) 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, 99567152 + ... + 100796228.

It is an arithmetic number, because the mean of its divisors is an integer number (3980155243428).

Almost surely, 2123131011000130 is an apocalyptic number.

123131011000130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123131011000130 is an abundant number, since it is smaller than the sum of its proper divisors (131598924579262).

123131011000130 is a wasteful number, since it uses less digits than its factorization.

123131011000130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237179.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 123131011000130 its reverse (31000110131321), we get a palindrome (154131121131451).

The spelling of 123131011000130 in words is "one hundred twenty-three trillion, one hundred thirty-one billion, eleven million, one hundred thirty", and thus it is an aban number.

Divisors: 1 2 5 7 10 14 35 70 181 362 905 1267 1810 2534 6335 7907 12670 15814 39535 55349 79070 110698 276745 553490 1229077 1431167 2458154 2862334 6145385 7155835 8603539 10018169 12290770 14311670 17207078 20036338 43017695 50090845 86035390 100181690 222462937 444925874 1112314685 1557240559 2224629370 3114481118 7786202795 9718311839 15572405590 19436623678 48591559195 68028182873 97183118390 136056365746 340140914365 680281828730 1759014442859 3518028885718 8795072214295 12313101100013 17590144428590 24626202200026 61565505500065 123131011000130