Search a number
-
+
127312762031 = 7133314226711
BaseRepresentation
bin111011010010001101…
…1101001010010101111
3110011121122102102010122
41312210123221102233
54041214031341111
6134253042155155
712124633423220
oct1664433512257
9404548372118
10127312762031
1149aa180a504
1220810952abb
13c00c238bb0
14623a639247
1534a1e9ecdb
hex1da46e94af

127312762031 has 16 divisors (see below), whose sum is σ = 157166059008. Its totient is φ = 100426629600.

The previous prime is 127312762013. The next prime is 127312762061. The reversal of 127312762031 is 130267213721.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-127312762031 is a prime.

It is a super-2 number, since 2×1273127620312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 127312761982 and 127312762000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127312762061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2083235 + ... + 2143476.

It is an arithmetic number, because the mean of its divisors is an integer number (9822878688).

Almost surely, 2127312762031 is an apocalyptic number.

127312762031 is a deficient number, since it is larger than the sum of its proper divisors (29853296977).

127312762031 is a wasteful number, since it uses less digits than its factorization.

127312762031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4227062.

The product of its (nonzero) digits is 21168, while the sum is 35.

Adding to 127312762031 its reverse (130267213721), we get a palindrome (257579975752).

The spelling of 127312762031 in words is "one hundred twenty-seven billion, three hundred twelve million, seven hundred sixty-two thousand, thirty-one".

Divisors: 1 7 13 91 331 2317 4303 30121 4226711 29586977 54947243 384630701 1399041341 9793289387 18187537433 127312762031