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101223140257 is a prime number
BaseRepresentation
bin101111001000101011…
…1101000101110100001
3100200021102012022020201
41132101113220232201
53124301110442012
6114300135105201
710212255332041
oct1362127505641
9320242168221
10101223140257
1139a23907518
121774b512201
139712046785
144c83695721
1529767e6857
hex17915e8ba1

101223140257 has 2 divisors, whose sum is σ = 101223140258. Its totient is φ = 101223140256.

The previous prime is 101223140143. The next prime is 101223140279. The reversal of 101223140257 is 752041322101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74075964561 + 27147175696 = 272169^2 + 164764^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101223140257 is a prime.

It is a super-2 number, since 2×1012231402572 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101223140287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50611570128 + 50611570129.

It is an arithmetic number, because the mean of its divisors is an integer number (50611570129).

Almost surely, 2101223140257 is an apocalyptic number.

It is an amenable number.

101223140257 is a deficient number, since it is larger than the sum of its proper divisors (1).

101223140257 is an equidigital number, since it uses as much as digits as its factorization.

101223140257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3360, while the sum is 28.

Adding to 101223140257 its reverse (752041322101), we get a palindrome (853264462358).

The spelling of 101223140257 in words is "one hundred one billion, two hundred twenty-three million, one hundred forty thousand, two hundred fifty-seven".