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172021107217 is a prime number
BaseRepresentation
bin1010000000110101000…
…0011100101000010001
3121110000110001200000011
42200031100130220101
510304244400412332
6211005253154521
715266562200011
oct2401520345021
9543013050004
10172021107217
1166a54480a13
122940962ba41
13132b58b180b
14847c267c41
15471becbe47
hex280d41ca11

172021107217 has 2 divisors, whose sum is σ = 172021107218. Its totient is φ = 172021107216.

The previous prime is 172021107199. The next prime is 172021107229. The reversal of 172021107217 is 712701120271.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 165473222656 + 6547884561 = 406784^2 + 80919^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-172021107217 is a prime.

It is a super-2 number, since 2×1720211072172 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (172021107277) 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, 86010553608 + 86010553609.

It is an arithmetic number, because the mean of its divisors is an integer number (86010553609).

Almost surely, 2172021107217 is an apocalyptic number.

It is an amenable number.

172021107217 is a deficient number, since it is larger than the sum of its proper divisors (1).

172021107217 is an equidigital number, since it uses as much as digits as its factorization.

172021107217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2744, while the sum is 31.

Adding to 172021107217 its reverse (712701120271), we get a palindrome (884722227488).

The spelling of 172021107217 in words is "one hundred seventy-two billion, twenty-one million, one hundred seven thousand, two hundred seventeen".