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232101009 = 32712729009
BaseRepresentation
bin11011101010110…
…01010010010001
3121011201221201200
431311121102101
5433404213014
635010421413
75515553220
oct1565312221
9534657650
10232101009
1110a018a18
1265891869
133911669a
1422b7acb7
151559aa09
hexdd59491

232101009 has 24 divisors (see below), whose sum is σ = 386181120. Its totient is φ = 131580288.

The previous prime is 232100987. The next prime is 232101011. The reversal of 232101009 is 900101232.

It is a happy number.

232101009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 232101009 - 25 = 232100977 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 232100982 and 232101000.

It is not an unprimeable number, because it can be changed into a prime (232101019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6504 + ... + 22505.

It is an arithmetic number, because the mean of its divisors is an integer number (16090880).

Almost surely, 2232101009 is an apocalyptic number.

It is an amenable number.

232101009 is a deficient number, since it is larger than the sum of its proper divisors (154080111).

232101009 is a wasteful number, since it uses less digits than its factorization.

232101009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29149 (or 29146 counting only the distinct ones).

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

The square root of 232101009 is about 15234.8616337662. The cubic root of 232101009 is about 614.5525279600.

The spelling of 232101009 in words is "two hundred thirty-two million, one hundred one thousand, nine".

Divisors: 1 3 7 9 21 63 127 381 889 1143 2667 8001 29009 87027 203063 261081 609189 1827567 3684143 11052429 25789001 33157287 77367003 232101009