Search a number
-
+
102501772141 is a prime number
BaseRepresentation
bin101111101110110010…
…1001110101101101101
3100210120112011112110011
41133131211032231231
53134410423202031
6115031052413221
710256042454556
oct1373545165555
9323515145404
10102501772141
113a51a63a58a
1217a47777211
139886c0c6a2
144d6541332d
1529edbb56b1
hex17dd94eb6d

102501772141 has 2 divisors, whose sum is σ = 102501772142. Its totient is φ = 102501772140.

The previous prime is 102501772123. The next prime is 102501772159. The reversal of 102501772141 is 141277105201.

It is a balanced prime because it is at equal distance from previous prime (102501772123) and next prime (102501772159).

It can be written as a sum of positive squares in only one way, i.e., 98708444041 + 3793328100 = 314179^2 + 61590^2 .

It is a cyclic number.

It is not a de Polignac number, because 102501772141 - 219 = 102501247853 is a prime.

It is a super-2 number, since 2×1025017721412 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102501272141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51250886070 + 51250886071.

It is an arithmetic number, because the mean of its divisors is an integer number (51250886071).

Almost surely, 2102501772141 is an apocalyptic number.

It is an amenable number.

102501772141 is a deficient number, since it is larger than the sum of its proper divisors (1).

102501772141 is an equidigital number, since it uses as much as digits as its factorization.

102501772141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3920, while the sum is 31.

Adding to 102501772141 its reverse (141277105201), we get a palindrome (243778877342).

The spelling of 102501772141 in words is "one hundred two billion, five hundred one million, seven hundred seventy-two thousand, one hundred forty-one".