Search a number
-
+
130102303200320 = 26511353322132507
BaseRepresentation
bin11101100101001111001101…
…100100010001010001000000
3122001122122210012112022220002
4131211033031210101101000
5114023044004104402240
61140412101210335132
736255403233440633
oct3545171544212100
9561578705468802
10130102303200320
113850009343a870
121271284612a4a8
1357797962ba649
14241adb1081c1a
1510093d5ad7d15
hex7653cd911440

130102303200320 has 224 divisors, whose sum is σ = 339043378133376. Its totient is φ = 47159808819200.

The previous prime is 130102303200197. The next prime is 130102303200377. The reversal of 130102303200320 is 23002303201031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 130102303200292 and 130102303200301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4002269507 + ... + 4002302013.

It is an arithmetic number, because the mean of its divisors is an integer number (1513586509524).

Almost surely, 2130102303200320 is an apocalyptic number.

130102303200320 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 130102303200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169521689066688).

130102303200320 is an abundant number, since it is smaller than the sum of its proper divisors (208941074933056).

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

130102303200320 is a wasteful number, since it uses less digits than its factorization.

130102303200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36109 (or 36099 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 130102303200320 its reverse (23002303201031), we get a palindrome (153104606401351).

The spelling of 130102303200320 in words is "one hundred thirty trillion, one hundred two billion, three hundred three million, two hundred thousand, three hundred twenty".