Search a number
-
+
100111304112 = 2432085652169
BaseRepresentation
bin101110100111100011…
…0010100010110110000
3100120101221002011210020
41131033012110112300
53120011443212422
6113553540403440
710142565021201
oct1351706242660
9316357064706
10100111304112
1139503248576
121749b0a6580
1395958b0571
144bb9b555a8
15290ddc395c
hex174f1945b0

100111304112 has 20 divisors (see below), whose sum is σ = 258620869080. Its totient is φ = 33370434688.

The previous prime is 100111304093. The next prime is 100111304113. The reversal of 100111304112 is 211403111001.

It is a super-2 number, since 2×1001113041122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100111304091 and 100111304100.

It is not an unprimeable number, because it can be changed into a prime (100111304113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1042826037 + ... + 1042826132.

It is an arithmetic number, because the mean of its divisors is an integer number (12931043454).

Almost surely, 2100111304112 is an apocalyptic number.

100111304112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100111304112 is an abundant number, since it is smaller than the sum of its proper divisors (158509564968).

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

100111304112 is a wasteful number, since it uses less digits than its factorization.

100111304112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085652180 (or 2085652174 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 100111304112 its reverse (211403111001), we get a palindrome (311514415113).

The spelling of 100111304112 in words is "one hundred billion, one hundred eleven million, three hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 2085652169 4171304338 6256956507 8342608676 12513913014 16685217352 25027826028 33370434704 50055652056 100111304112