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1233243242231 = 711313101100811
BaseRepresentation
bin10001111100100011000…
…001100111111011110111
311100220012211201210022012
4101330203001213323313
5130201140232222411
62342313310354435
7155045626412420
oct21744301477367
94326184653265
101233243242231
11436019729000
1217b0167bba1b
138c3a987bb40
14439915b6647
152212d40518b
hex11f23067ef7

1233243242231 has 64 divisors (see below), whose sum is σ = 1686054085632. Its totient is φ = 878256720000.

The previous prime is 1233243242219. The next prime is 1233243242249. The reversal of 1233243242231 is 1322423423321.

It is a de Polignac number, because none of the positive numbers 2k-1233243242231 is a prime.

It is a super-2 number, since 2×12332432422312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1233243242281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12182816 + ... + 12283626.

It is an arithmetic number, because the mean of its divisors is an integer number (26344595088).

Almost surely, 21233243242231 is an apocalyptic number.

1233243242231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1233243242231 is a deficient number, since it is larger than the sum of its proper divisors (452810843401).

1233243242231 is a wasteful number, since it uses less digits than its factorization.

1233243242231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100965 (or 100943 counting only the distinct ones).

The product of its digits is 41472, while the sum is 32.

Adding to 1233243242231 its reverse (1322423423321), we get a palindrome (2555666665552).

The spelling of 1233243242231 in words is "one trillion, two hundred thirty-three billion, two hundred forty-three million, two hundred forty-two thousand, two hundred thirty-one".

Divisors: 1 7 11 13 77 91 101 121 143 707 847 1001 1111 1313 1331 1573 7777 9191 9317 11011 12221 14443 17303 85547 100811 101101 121121 134431 158873 705677 941017 1108921 1112111 1310543 1747603 7762447 9173801 10181911 12198131 12233221 14415973 71273377 85386917 100911811 112001021 132364843 134179441 158575703 784007147 926553901 939256087 1110029921 1232011231 1456013273 1744332733 8624078617 10192092911 12210329131 13552123541 16016146003 94864864787 112113022021 176177606033 1233243242231