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212003031101 is a prime number
BaseRepresentation
bin1100010101110001011…
…1011000100000111101
3202021012212002211201212
43011130113120200331
511433140233443401
6241220504414205
721213430013531
oct3053427304075
9667185084655
10212003031101
1181a01203114
1235107477365
1316cb7ca5544
14a39228bbc1
1557ac0e2dbb
hex315c5d883d

212003031101 has 2 divisors, whose sum is σ = 212003031102. Its totient is φ = 212003031100.

The previous prime is 212003031089. The next prime is 212003031113. The reversal of 212003031101 is 101130300212.

212003031101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (212003031089) and next prime (212003031113).

It can be written as a sum of positive squares in only one way, i.e., 170611128601 + 41391902500 = 413051^2 + 203450^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212003031101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212003931101) 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, 106001515550 + 106001515551.

It is an arithmetic number, because the mean of its divisors is an integer number (106001515551).

Almost surely, 2212003031101 is an apocalyptic number.

It is an amenable number.

212003031101 is a deficient number, since it is larger than the sum of its proper divisors (1).

212003031101 is an equidigital number, since it uses as much as digits as its factorization.

212003031101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 212003031101 its reverse (101130300212), we get a palindrome (313133331313).

The spelling of 212003031101 in words is "two hundred twelve billion, three million, thirty-one thousand, one hundred one".