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102031004081 is a prime number
BaseRepresentation
bin101111100000110000…
…1011001000110110001
3100202100201100001002002
41133001201121012301
53132424414112311
6114512234303345
710241265140126
oct1370141310661
9322321301062
10102031004081
113a2a8929576
1217935b87b55
139810520ac6
144d1caaa74d
1529c26c393b
hex17c18591b1

102031004081 has 2 divisors, whose sum is σ = 102031004082. Its totient is φ = 102031004080.

The previous prime is 102031004077. The next prime is 102031004143. The reversal of 102031004081 is 180400130201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97916423056 + 4114581025 = 312916^2 + 64145^2 .

It is a cyclic number.

It is not a de Polignac number, because 102031004081 - 22 = 102031004077 is a prime.

It is a super-2 number, since 2×1020310040812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102031084081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51015502040 + 51015502041.

It is an arithmetic number, because the mean of its divisors is an integer number (51015502041).

Almost surely, 2102031004081 is an apocalyptic number.

It is an amenable number.

102031004081 is a deficient number, since it is larger than the sum of its proper divisors (1).

102031004081 is an equidigital number, since it uses as much as digits as its factorization.

102031004081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 102031004081 its reverse (180400130201), we get a palindrome (282431134282).

The spelling of 102031004081 in words is "one hundred two billion, thirty-one million, four thousand, eighty-one".