Search a number
-
+
130132123020 = 22355314121067
BaseRepresentation
bin111100100110001111…
…0101001110110001100
3110102220010112210100000
41321030132221312030
54113002310414040
6135440515004300
712254536536444
oct1711436516614
9412803483300
10130132123020
1150209211109
1221278b99690
13c36b384733
146426c5d124
1535b9761130
hex1e4c7a9d8c

130132123020 has 288 divisors, whose sum is σ = 432885712896. Its totient is φ = 32761843200.

The previous prime is 130132123003. The next prime is 130132123067. The reversal of 130132123020 is 20321231031.

130132123020 is a `hidden beast` number, since 1 + 301 + 321 + 23 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130132122984 and 130132123002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6166527 + ... + 6187593.

It is an arithmetic number, because the mean of its divisors is an integer number (1503075392).

Almost surely, 2130132123020 is an apocalyptic number.

130132123020 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 130132123020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216442856448).

130132123020 is an abundant number, since it is smaller than the sum of its proper divisors (302753589876).

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

130132123020 is a wasteful number, since it uses less digits than its factorization.

130132123020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21163 (or 21149 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 130132123020 its reverse (20321231031), we get a palindrome (150453354051).

The spelling of 130132123020 in words is "one hundred thirty billion, one hundred thirty-two million, one hundred twenty-three thousand, twenty".