Search a number
-
+
106131983 is a prime number
BaseRepresentation
bin1100101001101…
…11001000001111
321101201001201012
412110313020033
5204132210413
614310435435
72426051456
oct624671017
9241631635
10106131983
11549aa591
122b662b7b
1318cac8b9
1410149b9d
1594b67a8
hex653720f

106131983 has 2 divisors, whose sum is σ = 106131984. Its totient is φ = 106131982.

The previous prime is 106131979. The next prime is 106132057. The reversal of 106131983 is 389131601.

It is a weak prime.

It is an emirp because it is prime and its reverse (389131601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106131983 - 22 = 106131979 is a prime.

It is a super-2 number, since 2×1061319832 = 22527995631024578, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106131923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53065991 + 53065992.

It is an arithmetic number, because the mean of its divisors is an integer number (53065992).

Almost surely, 2106131983 is an apocalyptic number.

106131983 is a deficient number, since it is larger than the sum of its proper divisors (1).

106131983 is an equidigital number, since it uses as much as digits as its factorization.

106131983 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 106131983 is about 10302.0378081232. The cubic root of 106131983 is about 473.4586908711.

The spelling of 106131983 in words is "one hundred six million, one hundred thirty-one thousand, nine hundred eighty-three".