Search a number
-
+
1506103121 is a prime number
BaseRepresentation
bin101100111000101…
…0100111101010001
310212221222222002002
41121301110331101
511041030244441
6405241003345
752215444125
oct13161247521
93787888062
101506103121
11703179626
12360483555
131b004b1a3
14104051585
158c352b9b
hex59c54f51

1506103121 has 2 divisors, whose sum is σ = 1506103122. Its totient is φ = 1506103120.

The previous prime is 1506103111. The next prime is 1506103127. The reversal of 1506103121 is 1213016051.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1158653521 + 347449600 = 34039^2 + 18640^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1506103121 is a prime.

It is a super-2 number, since 2×15061031212 = 4536693222171881282, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1506103093 and 1506103102.

It is not a weakly prime, because it can be changed into another prime (1506103127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 753051560 + 753051561.

It is an arithmetic number, because the mean of its divisors is an integer number (753051561).

Almost surely, 21506103121 is an apocalyptic number.

It is an amenable number.

1506103121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1506103121 is an equidigital number, since it uses as much as digits as its factorization.

1506103121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 1506103121 is about 38808.5444328952. The cubic root of 1506103121 is about 1146.2646593732.

Adding to 1506103121 its reverse (1213016051), we get a palindrome (2719119172).

The spelling of 1506103121 in words is "one billion, five hundred six million, one hundred three thousand, one hundred twenty-one".