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128101761 = 3214233529
BaseRepresentation
bin1111010001010…
…10110110000001
322221001020120200
413220222312001
5230243224021
620413355413
73113563344
oct750526601
9287036520
10128101761
1166345827
1236a98b69
1320702778
141302845b
15b3a6126
hex7a2ad81

128101761 has 6 divisors (see below), whose sum is σ = 185035890. Its totient is φ = 85401168.

The previous prime is 128101747. The next prime is 128101763. The reversal of 128101761 is 167101821.

It can be written as a sum of positive squares in only one way, i.e., 126697536 + 1404225 = 11256^2 + 1185^2 .

It is a de Polignac number, because none of the positive numbers 2k-128101761 is a prime.

It is a super-2 number, since 2×1281017612 = 32820122342602242, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (128101763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7116756 + ... + 7116773.

It is an arithmetic number, because the mean of its divisors is an integer number (30839315).

Almost surely, 2128101761 is an apocalyptic number.

It is an amenable number.

128101761 is a deficient number, since it is larger than the sum of its proper divisors (56934129).

128101761 is a wasteful number, since it uses less digits than its factorization.

128101761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14233535 (or 14233532 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The square root of 128101761 is about 11318.2048488265. The cubic root of 128101761 is about 504.1019375254.

The spelling of 128101761 in words is "one hundred twenty-eight million, one hundred one thousand, seven hundred sixty-one".

Divisors: 1 3 9 14233529 42700587 128101761