Search a number
-
+
130211113120 = 255111917872179
BaseRepresentation
bin111100101000100101…
…1111110100010100000
3110110002122011220101021
41321101023332202200
54113133021104440
6135452420015224
712256516125334
oct1712113764240
9413078156337
10130211113120
1150249862590
122129b531514
13c38185023a
1464335417c4
1535c166584a
hex1e512fe8a0

130211113120 has 192 divisors, whose sum is σ = 353612044800. Its totient is φ = 44811740160.

The previous prime is 130211113117. The next prime is 130211113129. The reversal of 130211113120 is 21311112031.

It is a happy number.

It is a super-2 number, since 2×1302111131202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 130211113094 and 130211113103.

It is not an unprimeable number, because it can be changed into a prime (130211113129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59756191 + ... + 59758369.

It is an arithmetic number, because the mean of its divisors is an integer number (1841729400).

Almost surely, 2130211113120 is an apocalyptic number.

130211113120 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 130211113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176806022400).

130211113120 is an abundant number, since it is smaller than the sum of its proper divisors (223400931680).

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

130211113120 is a wasteful number, since it uses less digits than its factorization.

130211113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4011 (or 4003 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 130211113120 its reverse (21311112031), we get a palindrome (151522225151).

The spelling of 130211113120 in words is "one hundred thirty billion, two hundred eleven million, one hundred thirteen thousand, one hundred twenty".