Search a number
-
+
202212210100093 is a prime number
BaseRepresentation
bin101101111110100100110010…
…111100111100011101111101
3222111222022001121012221112021
4231332210302330330131331
5203001021101241200333
61554023001253240141
760410231034025204
oct5576446274743575
9874868047187467
10202212210100093
1159481797a38246
121a81a0b8033051
1388aa6b66894cb
1437d11a206423b
15185a00c41382d
hexb7e932f3c77d

202212210100093 has 2 divisors, whose sum is σ = 202212210100094. Its totient is φ = 202212210100092.

The previous prime is 202212210100001. The next prime is 202212210100211. The reversal of 202212210100093 is 390001012212202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 201207047454009 + 1005162646084 = 14184747^2 + 1002578^2 .

It is a cyclic number.

It is not a de Polignac number, because 202212210100093 - 221 = 202212208002941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202212210100393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101106105050046 + 101106105050047.

It is an arithmetic number, because the mean of its divisors is an integer number (101106105050047).

Almost surely, 2202212210100093 is an apocalyptic number.

It is an amenable number.

202212210100093 is a deficient number, since it is larger than the sum of its proper divisors (1).

202212210100093 is an equidigital number, since it uses as much as digits as its factorization.

202212210100093 is an odious number, because the sum of its binary digits is odd.

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

Adding to 202212210100093 its reverse (390001012212202), we get a palindrome (592213222312295).

The spelling of 202212210100093 in words is "two hundred two trillion, two hundred twelve billion, two hundred ten million, one hundred thousand, ninety-three".