Search a number
-
+
100031130304 = 2671006122193
BaseRepresentation
bin101110100101001010…
…0011110101011000000
3100120012100012220222221
41131022110132223000
53114330432132204
6113541554140424
710140602402260
oct1351224365300
9316170186887
10100031130304
1139471a68826
1217478281714
1395820bc041
144bad2457a0
152906d38654
hex174a51eac0

100031130304 has 56 divisors (see below), whose sum is σ = 226889084448. Its totient is φ = 42864291840.

The previous prime is 100031130263. The next prime is 100031130307. The reversal of 100031130304 is 403031130001.

It is a tau number, because it is divible by the number of its divisors (56).

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

It is not an unprimeable number, because it can be changed into a prime (100031130307) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4496232 + ... + 4518424.

Almost surely, 2100031130304 is an apocalyptic number.

100031130304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100031130304 is an abundant number, since it is smaller than the sum of its proper divisors (126857954144).

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

100031130304 is a wasteful number, since it uses less digits than its factorization.

100031130304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32273 (or 32263 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 100031130304 its reverse (403031130001), we get a palindrome (503062260305).

The spelling of 100031130304 in words is "one hundred billion, thirty-one million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 10061 20122 22193 40244 44386 70427 80488 88772 140854 155351 160976 177544 281708 310702 321952 355088 563416 621404 643904 710176 1126832 1242808 1420352 2253664 2485616 4507328 4971232 9942464 223283773 446567546 893135092 1562986411 1786270184 3125972822 3572540368 6251945644 7145080736 12503891288 14290161472 25007782576 50015565152 100031130304