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312122111993 is a prime number
BaseRepresentation
bin1001000101010111110…
…11010111011111111001
31002211122022211010020222
410202223323113133321
520103211230040433
6355215324025425
731356451114616
oct4425373273771
91084568733228
10312122111993
1111040888247a
12505a9092275
1323582379743
141116d06950d
1581bba00b98
hex48abed77f9

312122111993 has 2 divisors, whose sum is σ = 312122111994. Its totient is φ = 312122111992.

The previous prime is 312122111969. The next prime is 312122112011. The reversal of 312122111993 is 399111221213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 191294266384 + 120827845609 = 437372^2 + 347603^2 .

It is a cyclic number.

It is not a de Polignac number, because 312122111993 - 26 = 312122111929 is a prime.

It is not a weakly prime, because it can be changed into another prime (312122161993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156061055996 + 156061055997.

It is an arithmetic number, because the mean of its divisors is an integer number (156061055997).

Almost surely, 2312122111993 is an apocalyptic number.

It is an amenable number.

312122111993 is a deficient number, since it is larger than the sum of its proper divisors (1).

312122111993 is an equidigital number, since it uses as much as digits as its factorization.

312122111993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5832, while the sum is 35.

The spelling of 312122111993 in words is "three hundred twelve billion, one hundred twenty-two million, one hundred eleven thousand, nine hundred ninety-three".