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112304004225 = 35271311632919
BaseRepresentation
bin110100010010111010…
…1110001110010000001
3101201212122210111222220
41220211311301302001
53314444311113400
6123331452321253
711053666166640
oct1504565616201
9351778714886
10112304004225
114369a756636
1219922473229
13a78994480a
1456151b5357
152dc450a7a0
hex1a25d71c81

112304004225 has 48 divisors (see below), whose sum is σ = 213821076480. Its totient is φ = 50947041600.

The previous prime is 112304004221. The next prime is 112304004233. The reversal of 112304004225 is 522400403211.

It is not a de Polignac number, because 112304004225 - 22 = 112304004221 is a prime.

It is a super-2 number, since 2×1123040042252 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112304004195 and 112304004204.

It is not an unprimeable number, because it can be changed into a prime (112304004221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 747685 + ... + 885234.

It is an arithmetic number, because the mean of its divisors is an integer number (4454605760).

Almost surely, 2112304004225 is an apocalyptic number.

112304004225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112304004225 is a deficient number, since it is larger than the sum of its proper divisors (101517072255).

112304004225 is a wasteful number, since it uses less digits than its factorization.

112304004225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633070 (or 1633065 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 112304004225 its reverse (522400403211), we get a palindrome (634704407436).

The spelling of 112304004225 in words is "one hundred twelve billion, three hundred four million, four thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 131 175 393 525 655 917 1965 2751 3275 4585 9825 13755 22925 68775 1632919 4898757 8164595 11430433 24493785 34291299 40822975 57152165 122468925 171456495 213912389 285760825 641737167 857282475 1069561945 1497386723 3208685835 4492160169 5347809725 7486933615 16043429175 22460800845 37434668075 112304004225