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127106661 = 31117892153
BaseRepresentation
bin1111001001101…
…11111001100101
322212011200120010
413210313321211
5230014403121
620340200433
73102250233
oct744677145
9285150503
10127106661
1165826130
1236699119
1320444856
1412c49953
15b25b376
hex7937e65

127106661 has 16 divisors (see below), whose sum is σ = 185071680. Its totient is φ = 76955520.

The previous prime is 127106657. The next prime is 127106663. The reversal of 127106661 is 166601721.

It is not a de Polignac number, because 127106661 - 22 = 127106657 is a prime.

It is a super-2 number, since 2×1271066612 = 32312206541137842, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127106663) 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, 57961 + ... + 60113.

It is an arithmetic number, because the mean of its divisors is an integer number (11566980).

Almost surely, 2127106661 is an apocalyptic number.

127106661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

127106661 is a deficient number, since it is larger than the sum of its proper divisors (57965019).

127106661 is a wasteful number, since it uses less digits than its factorization.

127106661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3956.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 127106661 is about 11274.1589930247. The cubic root of 127106661 is about 502.7932478086.

The spelling of 127106661 in words is "one hundred twenty-seven million, one hundred six thousand, six hundred sixty-one".

Divisors: 1 3 11 33 1789 2153 5367 6459 19679 23683 59037 71049 3851717 11555151 42368887 127106661