Search a number
-
+
112301130123 = 32713373705941
BaseRepresentation
bin110100010010110101…
…0110100000110001011
3101201212110101111110200
41220211222310012023
53314443042130443
6123331310543243
711053632566430
oct1504552640613
9351773344420
10112301130123
1143699073246
1219921507b23
13a789179570
145614a67b87
152dc413ddd3
hex1a25ab418b

112301130123 has 48 divisors (see below), whose sum is σ = 205042358976. Its totient is φ = 57634778880.

The previous prime is 112301130083. The next prime is 112301130133. The reversal of 112301130123 is 321031103211.

112301130123 is a `hidden beast` number, since 112 + 301 + 130 + 123 = 666.

It is not a de Polignac number, because 112301130123 - 210 = 112301129099 is a prime.

It is a super-2 number, since 2×1123011301232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112301130096 and 112301130105.

It is not an unprimeable number, because it can be changed into a prime (112301130133) 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, 1822668 + ... + 1883273.

It is an arithmetic number, because the mean of its divisors is an integer number (4271715812).

Almost surely, 2112301130123 is an apocalyptic number.

112301130123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

112301130123 is a deficient number, since it is larger than the sum of its proper divisors (92741228853).

112301130123 is a wasteful number, since it uses less digits than its factorization.

112301130123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3706004 (or 3706001 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 112301130123 its reverse (321031103211), we get a palindrome (433332233334).

The spelling of 112301130123 in words is "one hundred twelve billion, three hundred one million, one hundred thirty thousand, one hundred twenty-three".

Divisors: 1 3 7 9 13 21 37 39 63 91 111 117 259 273 333 481 777 819 1443 2331 3367 4329 10101 30303 3705941 11117823 25941587 33353469 48177233 77824761 137119817 144531699 233474283 337240631 411359451 433595097 959838719 1011721893 1234078353 1782557621 2879516157 3035165679 5347672863 8638548471 12477903347 16043018589 37433710041 112301130123