Search a number
-
+
100013100432 = 2437297658037
BaseRepresentation
bin101110100100100111…
…1101100110110010000
3100120011002021220122220
41131021033230312100
53114311323203212
6113540111501040
710140263220120
oct1351117546620
9316132256586
10100013100432
1139462873703
1217472227780
13957b44858b
144baaab0c80
15290547638c
hex17493ecd90

100013100432 has 40 divisors (see below), whose sum is σ = 295276773696. Its totient is φ = 28575171456.

The previous prime is 100013100413. The next prime is 100013100437. The reversal of 100013100432 is 234001310001.

It is not an unprimeable number, because it can be changed into a prime (100013100437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148828683 + ... + 148829354.

Almost surely, 2100013100432 is an apocalyptic number.

100013100432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100013100432 is an abundant number, since it is smaller than the sum of its proper divisors (195263673264).

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

100013100432 is a wasteful number, since it uses less digits than its factorization.

100013100432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297658055 (or 297658049 counting only the distinct ones).

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

Adding to 100013100432 its reverse (234001310001), we get a palindrome (334014410433).

The spelling of 100013100432 in words is "one hundred billion, thirteen million, one hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 297658037 595316074 892974111 1190632148 1785948222 2083606259 2381264296 3571896444 4167212518 4762528592 6250818777 7143792888 8334425036 12501637554 14287585776 16668850072 25003275108 33337700144 50006550216 100013100432