Search a number
-
+
100011322032 = 24388710872161
BaseRepresentation
bin101110100100100100…
…0111010101010110000
3100120010221221120011020
41131021020322222300
53114310344301112
6113540005415440
710140242132226
oct1351110725260
9316127846136
10100011322032
1139461869556
121747170a580
13957ac74c7b
144baa76ab16
15290522448c
hex174923aab0

100011322032 has 80 divisors (see below), whose sum is σ = 259011612672. Its totient is φ = 33253493760.

The previous prime is 100011322001. The next prime is 100011322039. The reversal of 100011322032 is 230223110001.

It is not an unprimeable number, because it can be changed into a prime (100011322039) 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 15 ways as a sum of consecutive naturals, for example, 46279032 + ... + 46281192.

Almost surely, 2100011322032 is an apocalyptic number.

100011322032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100011322032 is an abundant number, since it is smaller than the sum of its proper divisors (159000290640).

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

100011322032 is a wasteful number, since it uses less digits than its factorization.

100011322032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4146 (or 4140 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100011322032 its reverse (230223110001), we get a palindrome (330234432033).

The spelling of 100011322032 in words is "one hundred billion, eleven million, three hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 887 1087 1774 2161 2174 2661 3261 3548 4322 4348 5322 6483 6522 7096 8644 8696 10644 12966 13044 14192 17288 17392 21288 25932 26088 34576 42576 51864 52176 103728 964169 1916807 1928338 2349007 2892507 3833614 3856676 4698014 5750421 5785014 7047021 7667228 7713352 9396028 11500842 11570028 14094042 15334456 15426704 18792056 23001684 23140056 28188084 30668912 37584112 46003368 46280112 56376168 92006736 112752336 2083569209 4167138418 6250707627 8334276836 12501415254 16668553672 25002830508 33337107344 50005661016 100011322032