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101022220093 is a prime number
BaseRepresentation
bin101111000010101100…
…1001011111100111101
3100122202102010111121011
41132011121023330331
53123343142020333
6114224200435221
710204265463004
oct1360531137475
9318672114534
10101022220093
11399304561a3
12176b4178b11
1396ac5296c2
144c64b13c3b
152963d599cd
hex178564bf3d

101022220093 has 2 divisors, whose sum is σ = 101022220094. Its totient is φ = 101022220092.

The previous prime is 101022220087. The next prime is 101022220127. The reversal of 101022220093 is 390022220101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88400371684 + 12621848409 = 297322^2 + 112347^2 .

It is a cyclic number.

It is not a de Polignac number, because 101022220093 - 29 = 101022219581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101022221093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50511110046 + 50511110047.

It is an arithmetic number, because the mean of its divisors is an integer number (50511110047).

Almost surely, 2101022220093 is an apocalyptic number.

It is an amenable number.

101022220093 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022220093 is an equidigital number, since it uses as much as digits as its factorization.

101022220093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 101022220093 its reverse (390022220101), we get a palindrome (491044440194).

The spelling of 101022220093 in words is "one hundred one billion, twenty-two million, two hundred twenty thousand, ninety-three".