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10129231 = 72372151
BaseRepresentation
bin100110101000…
…111101001111
3201001121200201
4212220331033
510043113411
61001034331
7152045200
oct46507517
921047621
1010129231
115799272
1234859a7
132138638
1414b95a7
15d513c1
hex9a8f4f

10129231 has 18 divisors (see below), whose sum is σ = 12190248. Its totient is φ = 8391600.

The previous prime is 10129213. The next prime is 10129253. The reversal of 10129231 is 13292101.

It is not a de Polignac number, because 10129231 - 25 = 10129199 is a prime.

It is a super-3 number, since 3×101292313 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10129199 and 10129208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10129271) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 67006 + ... + 67156.

It is an arithmetic number, because the mean of its divisors is an integer number (677236).

Almost surely, 210129231 is an apocalyptic number.

10129231 is a deficient number, since it is larger than the sum of its proper divisors (2061017).

10129231 is an equidigital number, since it uses as much as digits as its factorization.

10129231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 10129231 is about 3182.6452834081. The cubic root of 10129231 is about 216.3675654629.

The spelling of 10129231 in words is "ten million, one hundred twenty-nine thousand, two hundred thirty-one".

Divisors: 1 7 37 49 151 259 1057 1369 1813 5587 7399 9583 39109 67081 206719 273763 1447033 10129231