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102153217 is a prime number
BaseRepresentation
bin1100001011010…
…11110000000001
321010012220212111
412011223300001
5202122400332
614045255321
72350200535
oct605536001
9233186774
10102153217
1152732251
122a264541
13182188ba
14d7d1bc5
158e7c947
hex616bc01

102153217 has 2 divisors, whose sum is σ = 102153218. Its totient is φ = 102153216.

The previous prime is 102153211. The next prime is 102153257. The reversal of 102153217 is 712351201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75620416 + 26532801 = 8696^2 + 5151^2 .

It is a cyclic number.

It is not a de Polignac number, because 102153217 - 27 = 102153089 is a prime.

It is not a weakly prime, because it can be changed into another prime (102153211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51076608 + 51076609.

It is an arithmetic number, because the mean of its divisors is an integer number (51076609).

Almost surely, 2102153217 is an apocalyptic number.

It is an amenable number.

102153217 is a deficient number, since it is larger than the sum of its proper divisors (1).

102153217 is an equidigital number, since it uses as much as digits as its factorization.

102153217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 102153217 is about 10107.0874637553. The cubic root of 102153217 is about 467.4667035682.

The spelling of 102153217 in words is "one hundred two million, one hundred fifty-three thousand, two hundred seventeen".