Search a number
-
+
112443004100 = 22527496932327
BaseRepresentation
bin110100010111000100…
…0000001010011000100
3101202020100100102222102
41220232020001103010
53320240402112400
6123353335451232
711060304523250
oct1505610012304
9352210312872
10112443004100
1143761165269
1219960b26b18
13a7ac69186b
145629839260
152dd18159d5
hex1a2e2014c4

112443004100 has 72 divisors (see below), whose sum is σ = 278923397760. Its totient is φ = 38542936320.

The previous prime is 112443004081. The next prime is 112443004151. The reversal of 112443004100 is 1400344211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3462137 + ... + 3494463.

It is an arithmetic number, because the mean of its divisors is an integer number (3873936080).

Almost surely, 2112443004100 is an apocalyptic number.

112443004100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112443004100 is an abundant number, since it is smaller than the sum of its proper divisors (166480393660).

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

112443004100 is a wasteful number, since it uses less digits than its factorization.

112443004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37317 (or 37310 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 112443004100 its reverse (1400344211), we get a palindrome (113843348311).

The spelling of 112443004100 in words is "one hundred twelve billion, four hundred forty-three million, four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 4969 9938 19876 24845 32327 34783 49690 64654 69566 99380 124225 129308 139132 161635 173915 226289 248450 323270 347830 452578 496900 646540 695660 808175 869575 905156 1131445 1616350 1739150 2262890 3232700 3478300 4525780 5657225 11314450 22628900 160632863 321265726 642531452 803164315 1124430041 1606328630 2248860082 3212657260 4015821575 4497720164 5622150205 8031643150 11244300410 16063286300 22488600820 28110751025 56221502050 112443004100