Search a number
-
+
130123330101020 = 2256506166505051
BaseRepresentation
bin11101100101100010110010…
…110111100001111100011100
3122001201200001121100120002002
4131211202302313201330130
5114023420040001213040
61140425455502021432
736260046265235264
oct3545426267417434
9561650047316062
10130123330101020
1138508aa3596553
1212716933b77878
13577b767660819
14241c0078b87a4
151009c16a9aa15
hex7658b2de1f1c

130123330101020 has 12 divisors (see below), whose sum is σ = 273258993212184. Its totient is φ = 52049332040400.

The previous prime is 130123330100989. The next prime is 130123330101029. The reversal of 130123330101020 is 20101033321031.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 6506166505051 = 130123330101020 / (1 + 3 + 0 + 1 + 2 + 3 + 3 + 3 + 0 + 1 + 0 + 1 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 130123330100983 and 130123330101001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130123330101029) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3253083252506 + ... + 3253083252545.

It is an arithmetic number, because the mean of its divisors is an integer number (22771582767682).

Almost surely, 2130123330101020 is an apocalyptic number.

130123330101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130123330101020 is an abundant number, since it is smaller than the sum of its proper divisors (143135663111164).

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

130123330101020 is a wasteful number, since it uses less digits than its factorization.

130123330101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6506166505060 (or 6506166505058 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 130123330101020 its reverse (20101033321031), we get a palindrome (150224363422051).

The spelling of 130123330101020 in words is "one hundred thirty trillion, one hundred twenty-three billion, three hundred thirty million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 6506166505051 13012333010102 26024666020204 32530832525255 65061665050510 130123330101020