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212224100381 is a prime number
BaseRepresentation
bin1100010110100110001…
…0101100100000011101
3202021210021002022202222
43011221202230200131
511434113332203011
6241254442555125
721222053042426
oct3055142544035
9667707068688
10212224100381
1182004a767a7
1235169508aa5
1317021a28877
14a3b379664d
1557c170eddb
hex31698ac81d

212224100381 has 2 divisors, whose sum is σ = 212224100382. Its totient is φ = 212224100380.

The previous prime is 212224100359. The next prime is 212224100419. The reversal of 212224100381 is 183001422212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 205806488281 + 6417612100 = 453659^2 + 80110^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212224100381 is a prime.

It is a super-2 number, since 2×2122241003812 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212224100381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212224100681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106112050190 + 106112050191.

It is an arithmetic number, because the mean of its divisors is an integer number (106112050191).

Almost surely, 2212224100381 is an apocalyptic number.

It is an amenable number.

212224100381 is a deficient number, since it is larger than the sum of its proper divisors (1).

212224100381 is an equidigital number, since it uses as much as digits as its factorization.

212224100381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 212224100381 its reverse (183001422212), we get a palindrome (395225522593).

The spelling of 212224100381 in words is "two hundred twelve billion, two hundred twenty-four million, one hundred thousand, three hundred eighty-one".