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212202002137 is a prime number
BaseRepresentation
bin1100010110100000111…
…0011001011011011001
3202021201201111121200111
43011220032121123121
511434042203032022
6241252333204321
721221364154156
oct3055016313331
9667651447614
10212202002137
1181aa3552a94
12351620306a1
131701a28c398
14a3b088322d
1557be7e7477
hex31683996d9

212202002137 has 2 divisors, whose sum is σ = 212202002138. Its totient is φ = 212202002136.

The previous prime is 212202002119. The next prime is 212202002191. The reversal of 212202002137 is 731200202212.

212202002137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 176033950096 + 36168052041 = 419564^2 + 190179^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212202002137 is a prime.

It is not a weakly prime, because it can be changed into another prime (212202005137) 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, 106101001068 + 106101001069.

It is an arithmetic number, because the mean of its divisors is an integer number (106101001069).

Almost surely, 2212202002137 is an apocalyptic number.

It is an amenable number.

212202002137 is a deficient number, since it is larger than the sum of its proper divisors (1).

212202002137 is an equidigital number, since it uses as much as digits as its factorization.

212202002137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 22.

Adding to 212202002137 its reverse (731200202212), we get a palindrome (943402204349).

The spelling of 212202002137 in words is "two hundred twelve billion, two hundred two million, two thousand, one hundred thirty-seven".