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112003312100 = 22524174336767
BaseRepresentation
bin110100001001111101…
…0101110100111100100
3101201002200222202221112
41220103322232213210
53313340321441400
6123241551404152
711043355305341
oct1502372564744
9351080882845
10112003312100
1143555a4a149
1219859823658
13a73c563994
1455c72a17c8
152da7e11835
hex1a13eae9e4

112003312100 has 72 divisors (see below), whose sum is σ = 249317042688. Its totient is φ = 43648595200.

The previous prime is 112003312081. The next prime is 112003312103. The reversal of 112003312100 is 1213300211.

It is not an unprimeable number, because it can be changed into a prime (112003312103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3027917 + ... + 3064683.

It is an arithmetic number, because the mean of its divisors is an integer number (3462736704).

Almost surely, 2112003312100 is an apocalyptic number.

112003312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112003312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124658521344).

112003312100 is an abundant number, since it is smaller than the sum of its proper divisors (137313730588).

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

112003312100 is a wasteful number, since it uses less digits than its factorization.

112003312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37565 (or 37558 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 112003312100 its reverse (1213300211), we get a palindrome (113216612311).

The spelling of 112003312100 in words is "one hundred twelve billion, three million, three hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 743 820 1025 1486 2050 2972 3715 4100 7430 14860 18575 30463 36767 37150 60926 73534 74300 121852 147068 152315 183835 304630 367670 609260 735340 761575 919175 1507447 1523150 1838350 3014894 3046300 3676700 6029788 7537235 15074470 27317881 30148940 37686175 54635762 75372350 109271524 136589405 150744700 273178810 546357620 682947025 1120033121 1365894050 2240066242 2731788100 4480132484 5600165605 11200331210 22400662420 28000828025 56001656050 112003312100