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901018822141 is a prime number
BaseRepresentation
bin11010001110010001110…
…10000010010111111101
310012010200112212121110201
431013020322002113331
5104230241304302031
61525531120203501
7122045041423324
oct15071072022775
93163615777421
10901018822141
113181356a9a69
12126759469591
1366c72886549
14318768330bb
1518686bc9d61
hexd1c8e825fd

901018822141 has 2 divisors, whose sum is σ = 901018822142. Its totient is φ = 901018822140.

The previous prime is 901018822133. The next prime is 901018822159. The reversal of 901018822141 is 141228810109.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 746416514116 + 154602308025 = 863954^2 + 393195^2 .

It is an emirp because it is prime and its reverse (141228810109) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 901018822141 - 23 = 901018822133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 901018822141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (901018822741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 450509411070 + 450509411071.

It is an arithmetic number, because the mean of its divisors is an integer number (450509411071).

Almost surely, 2901018822141 is an apocalyptic number.

It is an amenable number.

901018822141 is a deficient number, since it is larger than the sum of its proper divisors (1).

901018822141 is an equidigital number, since it uses as much as digits as its factorization.

901018822141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 37.

The spelling of 901018822141 in words is "nine hundred one billion, eighteen million, eight hundred twenty-two thousand, one hundred forty-one".