Search a number
-
+
103230320130 = 23357476119051
BaseRepresentation
bin110000000100100000…
…0011010111000000010
3100212110022001121102000
41200021000122320002
53142403430221010
6115231240004430
710313100146310
oct1401100327002
9325408047360
10103230320130
113a863908463
121800b760716
139971b35b82
144dd409d0b0
152a42b267c0
hex180901ae02

103230320130 has 256 divisors, whose sum is σ = 326584811520. Its totient is φ = 22713696000.

The previous prime is 103230320099. The next prime is 103230320159. The reversal of 103230320130 is 31023032301.

103230320130 is a `hidden beast` number, since 10 + 323 + 0 + 320 + 13 + 0 = 666.

It is a super-4 number, since 4×1032303201304 (a number of 45 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5409105 + ... + 5428155.

It is an arithmetic number, because the mean of its divisors is an integer number (1275721920).

Almost surely, 2103230320130 is an apocalyptic number.

103230320130 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 103230320130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163292405760).

103230320130 is an abundant number, since it is smaller than the sum of its proper divisors (223354491390).

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

103230320130 is a wasteful number, since it uses less digits than its factorization.

103230320130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19182 (or 19176 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103230320130 its reverse (31023032301), we get a palindrome (134253352431).

The spelling of 103230320130 in words is "one hundred three billion, two hundred thirty million, three hundred twenty thousand, one hundred thirty".