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127412214226 = 21125326936929
BaseRepresentation
bin111011010101001011…
…1000001100111010010
3110011212120120002220021
41312222113001213102
54041420011323401
6134310553534054
712130251644263
oct1665227014722
9404776502807
10127412214226
114a042967400
122083a11432a
13c026a1a24b
14624992696a
1534aaa972a1
hex1daa5c19d2

127412214226 has 48 divisors (see below), whose sum is σ = 214837320600. Its totient is φ = 56609146880.

The previous prime is 127412214211. The next prime is 127412214233. The reversal of 127412214226 is 622412214721.

127412214226 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 105979547025 + 21432667201 = 325545^2 + 146399^2 .

It is a junction number, because it is equal to n+sod(n) for n = 127412214191 and 127412214200.

It is an unprimeable number.

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, 3431730 + ... + 3468658.

Almost surely, 2127412214226 is an apocalyptic number.

127412214226 is a deficient number, since it is larger than the sum of its proper divisors (87425106374).

127412214226 is a wasteful number, since it uses less digits than its factorization.

127412214226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37275 (or 37264 counting only the distinct ones).

The product of its digits is 21504, while the sum is 34.

Adding to 127412214226 its reverse (622412214721), we get a palindrome (749824428947).

The spelling of 127412214226 in words is "one hundred twenty-seven billion, four hundred twelve million, two hundred fourteen thousand, two hundred twenty-six".

Divisors: 1 2 11 22 53 106 121 242 269 538 583 1166 2959 5918 6413 12826 14257 28514 32549 36929 65098 73858 156827 313654 406219 812438 1725097 1957237 3450194 3914474 4468409 8936818 9933901 19867802 21529607 43059214 109272911 218545822 236825677 473651354 526496753 1052993506 1202002021 2404004042 5791464283 11582928566 63706107113 127412214226