Search a number
-
+
112321242405 = 355599154333
BaseRepresentation
bin110100010011011011…
…1100010010100100101
3101201220212020022100000
41220212313202110211
53320013214224110
6123333310011513
711054265544011
oct1504667422445
9351825208300
10112321242405
11436a945a969
12199281a6b99
13a79039bb18
1456175c1541
152dc5cb31c0
hex1a26de2525

112321242405 has 48 divisors (see below), whose sum is σ = 202239273600. Its totient is φ = 59804267328.

The previous prime is 112321242347. The next prime is 112321242413. The reversal of 112321242405 is 504242123211.

112321242405 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 212 + 42 + 405 = 666.

It is not a de Polignac number, because 112321242405 - 211 = 112321240357 is a prime.

It is a super-2 number, since 2×1123212424052 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 650619 + ... + 804951.

It is an arithmetic number, because the mean of its divisors is an integer number (4213318200).

Almost surely, 2112321242405 is an apocalyptic number.

112321242405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112321242405 is a deficient number, since it is larger than the sum of its proper divisors (89918031195).

112321242405 is an equidigital number, since it uses as much as digits as its factorization.

112321242405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154952 (or 154940 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 112321242405 its reverse (504242123211), we get a palindrome (616563365616).

The spelling of 112321242405 in words is "one hundred twelve billion, three hundred twenty-one million, two hundred forty-two thousand, four hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 599 1215 1797 2995 5391 8985 16173 26955 48519 80865 145557 154333 242595 462999 727785 771665 1388997 2314995 4166991 6944985 12500973 20834955 37502919 62504865 92445467 187514595 277336401 462227335 832009203 1386682005 2496027609 4160046015 7488082827 12480138045 22464248481 37440414135 112321242405