Search a number
-
+
127121293 = 132752197
BaseRepresentation
bin1111001001110…
…11011110001101
322212012102122001
413210323132031
5230020340133
620340352301
73102341005
oct744733615
9285172561
10127121293
1165836122
12366a5691
132044b400
1412c51005
15b26087d
hex793b78d

127121293 has 6 divisors (see below), whose sum is σ = 137652234. Its totient is φ = 117342576.

The previous prime is 127121237. The next prime is 127121303. The reversal of 127121293 is 392121721.

It can be written as a sum of positive squares in 3 ways, for example, as 3755844 + 123365449 = 1938^2 + 11107^2 .

It is a de Polignac number, because none of the positive numbers 2k-127121293 is a prime.

It is a super-3 number, since 3×1271212933 (a number of 25 digits) contains 333 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 (127121213) 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 5 ways as a sum of consecutive naturals, for example, 375930 + ... + 376267.

It is an arithmetic number, because the mean of its divisors is an integer number (22942039).

Almost surely, 2127121293 is an apocalyptic number.

127121293 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

127121293 is a deficient number, since it is larger than the sum of its proper divisors (10530941).

127121293 is an equidigital number, since it uses as much as digits as its factorization.

127121293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752223 (or 752210 counting only the distinct ones).

The product of its digits is 1512, while the sum is 28.

The square root of 127121293 is about 11274.8078919332. The cubic root of 127121293 is about 502.8125402371.

The spelling of 127121293 in words is "one hundred twenty-seven million, one hundred twenty-one thousand, two hundred ninety-three".

Divisors: 1 13 169 752197 9778561 127121293