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128632031 = 1123677751
BaseRepresentation
bin1111010101011…
…00010011011111
322222001011222022
413222230103133
5230412211111
620433010355
73121232333
oct752542337
9288034868
10128632031
1166678170
12370b39bb
1320859c38
14131257c3
15b45d2db
hex7aac4df

128632031 has 16 divisors (see below), whose sum is σ = 146838528. Its totient is φ = 111540000.

The previous prime is 128632019. The next prime is 128632037. The reversal of 128632031 is 130236821.

It is not a de Polignac number, because 128632031 - 218 = 128369887 is a prime.

It is a super-2 number, since 2×1286320312 = 33092398798369922, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128632037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170906 + ... + 171656.

It is an arithmetic number, because the mean of its divisors is an integer number (9177408).

Almost surely, 2128632031 is an apocalyptic number.

128632031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

128632031 is a deficient number, since it is larger than the sum of its proper divisors (18206497).

128632031 is a wasteful number, since it uses less digits than its factorization.

128632031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462.

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 128632031 is about 11341.6061913646. The cubic root of 128632031 is about 504.7965471332.

Adding to 128632031 its reverse (130236821), we get a palindrome (258868852).

The spelling of 128632031 in words is "one hundred twenty-eight million, six hundred thirty-two thousand, thirty-one".

Divisors: 1 11 23 253 677 751 7447 8261 15571 17273 171281 190003 508427 5592697 11693821 128632031