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112232112003 = 331111316212063
BaseRepresentation
bin110100010000110001…
…1100001111110000011
3101201200122112000102000
41220201203201332003
53314322410041003
6123320403355043
711052134132424
oct1504143417603
9351618460360
10112232112003
1143663112980
1219902382a83
13a777a9293b
14560981d64b
152dbd0591a3
hex1a218e1f83

112232112003 has 64 divisors (see below), whose sum is σ = 183192053760. Its totient is φ = 67343270400.

The previous prime is 112232111993. The next prime is 112232112017. The reversal of 112232112003 is 300211232211.

It is not a de Polignac number, because 112232112003 - 234 = 95052242819 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112232112803) 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 63 ways as a sum of consecutive naturals, for example, 54401350 + ... + 54403412.

It is an arithmetic number, because the mean of its divisors is an integer number (2862375840).

Almost surely, 2112232112003 is an apocalyptic number.

112232112003 is a deficient number, since it is larger than the sum of its proper divisors (70959941757).

112232112003 is a wasteful number, since it uses less digits than its factorization.

112232112003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3817 (or 3811 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112232112003 its reverse (300211232211), we get a palindrome (412443344214).

The spelling of 112232112003 in words is "one hundred twelve billion, two hundred thirty-two million, one hundred twelve thousand, three".

Divisors: 1 3 9 11 27 33 99 113 297 339 1017 1243 1621 2063 3051 3729 4863 6189 11187 14589 17831 18567 22693 33561 43767 53493 55701 68079 160479 183173 204237 233119 481437 549519 612711 699357 1648557 2014903 2098071 2564309 3344123 4945671 6044709 6294213 7692927 10032369 18134127 23078781 30097107 36785353 54402381 69236343 90291321 110356059 331068177 377885899 993204531 1133657697 3400973091 4156744889 10202919273 12470234667 37410704001 112232112003