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232101120105 = 325171877161641
BaseRepresentation
bin1101100000101001001…
…1100000100001101001
3211012002112012112210200
43120022103200201221
512300320341320410
6254343100302413
722524452653311
oct3301223404151
9735075175720
10232101120105
118a485038928
1238b96241a09
1318b6baa4bba
14b33b5c8441
1560867873c0
hex360a4e0869

232101120105 has 48 divisors (see below), whose sum is σ = 426203401104. Its totient is φ = 116442869760.

The previous prime is 232101120103. The next prime is 232101120107. The reversal of 232101120105 is 501021101232.

It is an interprime number because it is at equal distance from previous prime (232101120103) and next prime (232101120107).

It can be written as a sum of positive squares in 8 ways, for example, as 1191078144 + 230910041961 = 34512^2 + 480531^2 .

It is not a de Polignac number, because 232101120105 - 21 = 232101120103 is a prime.

It is a super-2 number, since 2×2321011201052 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (232101120103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1355085 + ... + 1516725.

It is an arithmetic number, because the mean of its divisors is an integer number (8879237523).

Almost surely, 2232101120105 is an apocalyptic number.

It is an amenable number.

232101120105 is a deficient number, since it is larger than the sum of its proper divisors (194102280999).

232101120105 is a wasteful number, since it uses less digits than its factorization.

232101120105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163546 (or 163543 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 232101120105 its reverse (501021101232), we get a palindrome (733122221337).

The spelling of 232101120105 in words is "two hundred thirty-two billion, one hundred one million, one hundred twenty thousand, one hundred five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 1877 5631 9385 16893 28155 31909 84465 95727 159545 161641 287181 478635 484923 808205 1435905 1454769 2424615 2747897 7273845 8243691 13739485 24731073 41218455 123655365 303400157 910200471 1517000785 2730601413 4551002355 5157802669 13653007065 15473408007 25789013345 46420224021 77367040035 232101120105