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130214144130 = 23574371832447
BaseRepresentation
bin111100101000101011…
…1100010100010000010
3110110002211212220010220
41321101113202202002
54113134310103010
6135453005003510
712256553651160
oct1712127424202
9413084786126
10130214144130
1150250542854
12212a0553596
13c382371a35
146433ad0230
1535c1a63970
hex1e515e2882

130214144130 has 256 divisors, whose sum is σ = 375230693376. Its totient is φ = 28304720640.

The previous prime is 130214144089. The next prime is 130214144131. The reversal of 130214144130 is 31441412031.

130214144130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 130214144130.

It is not an unprimeable number, because it can be changed into a prime (130214144131) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53212567 + ... + 53215013.

It is an arithmetic number, because the mean of its divisors is an integer number (1465744896).

Almost surely, 2130214144130 is an apocalyptic number.

130214144130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130214144130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187615346688).

130214144130 is an abundant number, since it is smaller than the sum of its proper divisors (245016549246).

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

130214144130 is a wasteful number, since it uses less digits than its factorization.

130214144130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2661.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 130214144130 its reverse (31441412031), we get a palindrome (161655556161).

The spelling of 130214144130 in words is "one hundred thirty billion, two hundred fourteen million, one hundred forty-four thousand, one hundred thirty".