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430825131 = 321129150061
BaseRepresentation
bin11001101011011…
…101111010101011
31010000200011222100
4121223131322223
51340242401011
6110430024443
713450644642
oct3153357253
91100604870
10430825131
1120120a330
12100348123
136b345019
144130a359
1527c51d56
hex19addeab

430825131 has 24 divisors (see below), whose sum is σ = 702290160. Its totient is φ = 252100800.

The previous prime is 430825117. The next prime is 430825141. The reversal of 430825131 is 131528034.

It is a happy number.

It is not a de Polignac number, because 430825131 - 25 = 430825099 is a prime.

It is a super-2 number, since 2×4308251312 = 371220587002334322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 430825095 and 430825104.

It is not an unprimeable number, because it can be changed into a prime (430825141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72160 + ... + 77901.

It is an arithmetic number, because the mean of its divisors is an integer number (29262090).

Almost surely, 2430825131 is an apocalyptic number.

430825131 is a deficient number, since it is larger than the sum of its proper divisors (271465029).

430825131 is a wasteful number, since it uses less digits than its factorization.

430825131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150107 (or 150104 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 430825131 is about 20756.3274930803. The cubic root of 430825131 is about 755.2667104434.

The spelling of 430825131 in words is "four hundred thirty million, eight hundred twenty-five thousand, one hundred thirty-one".

Divisors: 1 3 9 11 29 33 87 99 261 319 957 2871 150061 450183 1350549 1650671 4351769 4952013 13055307 14856039 39165921 47869459 143608377 430825131