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102501361 is a prime number
BaseRepresentation
bin1100001110000…
…00101111110001
321010212121102201
412013000233301
5202220020421
614100543201
72353150534
oct607005761
9233777381
10102501361
115294a876
122a3b1b01
131830b1c1
14d882a1b
158eeab91
hex61c0bf1

102501361 has 2 divisors, whose sum is σ = 102501362. Its totient is φ = 102501360.

The previous prime is 102501331. The next prime is 102501391. The reversal of 102501361 is 163105201.

It is a balanced prime because it is at equal distance from previous prime (102501331) and next prime (102501391).

It can be written as a sum of positive squares in only one way, i.e., 83631025 + 18870336 = 9145^2 + 4344^2 .

It is a cyclic number.

It is not a de Polignac number, because 102501361 - 27 = 102501233 is a prime.

It is not a weakly prime, because it can be changed into another prime (102501331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51250680 + 51250681.

It is an arithmetic number, because the mean of its divisors is an integer number (51250681).

Almost surely, 2102501361 is an apocalyptic number.

It is an amenable number.

102501361 is a deficient number, since it is larger than the sum of its proper divisors (1).

102501361 is an equidigital number, since it uses as much as digits as its factorization.

102501361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 102501361 is about 10124.2955804342. The cubic root of 102501361 is about 467.9971525017.

Adding to 102501361 its reverse (163105201), we get a palindrome (265606562).

It can be divided in two parts, 10250 and 1361, that added together give a palindrome (11611).

The spelling of 102501361 in words is "one hundred two million, five hundred one thousand, three hundred sixty-one".