Search a number
-
+
312210010127 is a prime number
BaseRepresentation
bin1001000101100010010…
…10101011000000001111
31002211212110012210211102
410202301022223000033
520103401230311002
6355232144013315
731361566204451
oct4426112530017
91084773183742
10312210010127
11110453458664
125061260123b
1323597643a82
141117a9ca2d1
1581c45b4a02
hex48b12ab00f

312210010127 has 2 divisors, whose sum is σ = 312210010128. Its totient is φ = 312210010126.

The previous prime is 312210010109. The next prime is 312210010183. The reversal of 312210010127 is 721010012213.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312210010127 is a prime.

It is a super-2 number, since 2×3122100101272 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312210010099 and 312210010108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (317210010127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156105005063 + 156105005064.

It is an arithmetic number, because the mean of its divisors is an integer number (156105005064).

Almost surely, 2312210010127 is an apocalyptic number.

312210010127 is a deficient number, since it is larger than the sum of its proper divisors (1).

312210010127 is an equidigital number, since it uses as much as digits as its factorization.

312210010127 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 20.

The spelling of 312210010127 in words is "three hundred twelve billion, two hundred ten million, ten thousand, one hundred twenty-seven".