Search a number
-
+
100414111100 = 22521975097163
BaseRepresentation
bin101110110000100100…
…1011011110101111100
3100121012000212100212212
41131201021123311330
53121122003023400
6114043554515552
710153232601332
oct1354111336574
9317160770785
10100414111100
1139649169986
1217564595bb8
139613551bb4
144c08059b52
15292a789335
hex176125bd7c

100414111100 has 36 divisors (see below), whose sum is σ = 219004748424. Its totient is φ = 39961750080.

The previous prime is 100414111099. The next prime is 100414111117. The reversal of 100414111100 is 1111414001.

100414111100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2528882 + ... + 2568281.

It is an arithmetic number, because the mean of its divisors is an integer number (6083465234).

Almost surely, 2100414111100 is an apocalyptic number.

100414111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100414111100 is an abundant number, since it is smaller than the sum of its proper divisors (118590637324).

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

100414111100 is a wasteful number, since it uses less digits than its factorization.

100414111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5097374 (or 5097367 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100414111100 its reverse (1111414001), we get a palindrome (101525525101).

The spelling of 100414111100 in words is "one hundred billion, four hundred fourteen million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 197 394 788 985 1970 3940 4925 9850 19700 5097163 10194326 20388652 25485815 50971630 101943260 127429075 254858150 509716300 1004141111 2008282222 4016564444 5020705555 10041411110 20082822220 25103527775 50207055550 100414111100