Search a number
-
+
100300404132 = 22328334796737
BaseRepresentation
bin101110101101001011…
…1101011010110100100
3100120220002220110020200
41131122113223112210
53120403400413012
6114024413430500
710150352240205
oct1353227532644
9316802813220
10100300404132
113959aa66185
121753249b430
1395c5b1c476
144bd6cdb5ac
1529207c83dc
hex175a5eb5a4

100300404132 has 72 divisors (see below), whose sum is σ = 257333914656. Its totient is φ = 32935125504.

The previous prime is 100300404077. The next prime is 100300404143. The reversal of 100300404132 is 231404003001.

100300404132 is a `hidden beast` number, since 100 + 30 + 0 + 404 + 132 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 988468 + ... + 1085204.

It is an arithmetic number, because the mean of its divisors is an integer number (3574082148).

Almost surely, 2100300404132 is an apocalyptic number.

100300404132 is a gapful number since it is divisible by the number (12) 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 100300404132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128666957328).

100300404132 is an abundant number, since it is smaller than the sum of its proper divisors (157033510524).

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

100300404132 is a wasteful number, since it uses less digits than its factorization.

100300404132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97177 (or 97172 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100300404132 its reverse (231404003001), we get a palindrome (331704407133).

The spelling of 100300404132 in words is "one hundred billion, three hundred million, four hundred four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 347 498 694 747 996 1041 1388 1494 2082 2988 3123 4164 6246 12492 28801 57602 86403 96737 115204 172806 193474 259209 290211 345612 386948 518418 580422 870633 1036836 1160844 1741266 3482532 8029171 16058342 24087513 32116684 33567739 48175026 67135478 72262539 96350052 100703217 134270956 144525078 201406434 289050156 302109651 402812868 604219302 1208438604 2786122337 5572244674 8358367011 11144489348 16716734022 25075101033 33433468044 50150202066 100300404132