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100221142093 is a prime number
BaseRepresentation
bin101110101010110100…
…1010100010001001101
3100120200120202112011121
41131111221110101031
53120223103021333
6114012502520541
710145400436432
oct1352551242115
9316616675147
10100221142093
113955a249466
121750ba36151
1395b2589c57
144bca587b89
15291886d32d
hex1755a5444d

100221142093 has 2 divisors, whose sum is σ = 100221142094. Its totient is φ = 100221142092.

The previous prime is 100221142067. The next prime is 100221142121. The reversal of 100221142093 is 390241122001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70938060964 + 29283081129 = 266342^2 + 171123^2 .

It is a cyclic number.

It is not a de Polignac number, because 100221142093 - 221 = 100219044941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100221142493) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110571046 + 50110571047.

It is an arithmetic number, because the mean of its divisors is an integer number (50110571047).

Almost surely, 2100221142093 is an apocalyptic number.

It is an amenable number.

100221142093 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221142093 is an equidigital number, since it uses as much as digits as its factorization.

100221142093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 100221142093 its reverse (390241122001), we get a palindrome (490462264094).

The spelling of 100221142093 in words is "one hundred billion, two hundred twenty-one million, one hundred forty-two thousand, ninety-three".