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212202131101 is a prime number
BaseRepresentation
bin1100010110100000111…
…0111000111010011101
3202021201201202011120221
43011220032320322131
511434042221143401
6241252340041341
721221365232152
oct3055016707235
9667651664527
10212202131101
1181aa3630974
1235162093251
131701a305cac
14a3b08b8229
1557be8207a1
hex31683b8e9d

212202131101 has 2 divisors, whose sum is σ = 212202131102. Its totient is φ = 212202131100.

The previous prime is 212202131087. The next prime is 212202131159. The reversal of 212202131101 is 101131202212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 190231184025 + 21970947076 = 436155^2 + 148226^2 .

It is a cyclic number.

It is not a de Polignac number, because 212202131101 - 211 = 212202129053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212202131501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106101065550 + 106101065551.

It is an arithmetic number, because the mean of its divisors is an integer number (106101065551).

Almost surely, 2212202131101 is an apocalyptic number.

It is an amenable number.

212202131101 is a deficient number, since it is larger than the sum of its proper divisors (1).

212202131101 is an equidigital number, since it uses as much as digits as its factorization.

212202131101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 212202131101 its reverse (101131202212), we get a palindrome (313333333313).

The spelling of 212202131101 in words is "two hundred twelve billion, two hundred two million, one hundred thirty-one thousand, one hundred one".