Search a number
-
+
130220313002300 = 225217617124149407
BaseRepresentation
bin11101100110111101000111…
…011111111100000100111100
3122002001221101111210101221202
4131212331013133330010330
5114032012200112033200
61140542215210115032
736300051515264513
oct3546750737740474
9562057344711852
10130220313002300
1138546140942734
121273169b41ba78
135787952080041
1424229a7d6167a
15100c4e0eb51d5
hex766f477fc13c

130220313002300 has 72 divisors (see below), whose sum is σ = 299685249166464. Its totient is φ = 48944661821440.

The previous prime is 130220313002291. The next prime is 130220313002323. The reversal of 130220313002300 is 3200313022031.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61025804 + ... + 63123603.

It is an arithmetic number, because the mean of its divisors is an integer number (4162295127312).

Almost surely, 2130220313002300 is an apocalyptic number.

130220313002300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130220313002300 is an abundant number, since it is smaller than the sum of its proper divisors (169464936164164).

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

130220313002300 is a wasteful number, since it uses less digits than its factorization.

130220313002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124150055 (or 124150048 counting only the distinct ones).

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

Adding to 130220313002300 its reverse (3200313022031), we get a palindrome (133420626024331).

The spelling of 130220313002300 in words is "one hundred thirty trillion, two hundred twenty billion, three hundred thirteen million, two thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 617 850 1234 1700 2468 3085 6170 10489 12340 15425 20978 30850 41956 52445 61700 104890 209780 262225 524450 1048900 124149407 248298814 496597628 620747035 1241494070 2110539919 2482988140 3103735175 4221079838 6207470350 8442159676 10552699595 12414940700 21105399190 42210798380 52763497975 76600184119 105526995950 153200368238 211053991900 306400736476 383000920595 766001841190 1302203130023 1532003682380 1915004602975 2604406260046 3830009205950 5208812520092 6511015650115 7660018411900 13022031300230 26044062600460 32555078250575 65110156501150 130220313002300