Search a number
-
+
130233302100 = 2232521118797001
BaseRepresentation
bin111100101001010000…
…0100111110001010100
3110110011011221012221100
41321102200213301110
54113204211131400
6135454531350100
712260205542256
oct1712240476124
9413134835840
10130233302100
1150260338490
12212a6a52330
13c38631bb05
146436479cd6
1535c359a100
hex1e52827c54

130233302100 has 216 divisors, whose sum is σ = 445619603520. Its totient is φ = 31550400000.

The previous prime is 130233302093. The next prime is 130233302117. The reversal of 130233302100 is 1203332031.

130233302100 is a `hidden beast` number, since 1 + 30 + 233 + 302 + 100 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18598600 + ... + 18605600.

It is an arithmetic number, because the mean of its divisors is an integer number (2063053720).

Almost surely, 2130233302100 is an apocalyptic number.

130233302100 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 130233302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222809801760).

130233302100 is an abundant number, since it is smaller than the sum of its proper divisors (315386301420).

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

130233302100 is a wasteful number, since it uses less digits than its factorization.

130233302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8911 (or 8901 counting only the distinct ones).

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

Adding to 130233302100 its reverse (1203332031), we get a palindrome (131436634131).

The spelling of 130233302100 in words is "one hundred thirty billion, two hundred thirty-three million, three hundred two thousand, one hundred".