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900001011111101 is a prime number
BaseRepresentation
bin1100110010100010111101000…
…0100100001001010010111101
311101000122020220220102112020122
43030220233100210021102331
51420431104032321023401
612510050431240224325
7360366633025246064
oct31450572044112275
94330566826375218
10900001011111101
1124084a315881179
1284b3628576b0a5
132c82596753c123
1411c363d20a51db
156e0b1596a521b
hex3328bd09094bd

900001011111101 has 2 divisors, whose sum is σ = 900001011111102. Its totient is φ = 900001011111100.

The previous prime is 900001011110989. The next prime is 900001011111107. The reversal of 900001011111101 is 101111110100009.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 735950357844025 + 164050653267076 = 27128405^2 + 12808226^2 .

It is an emirp because it is prime and its reverse (101111110100009) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-900001011111101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 900001011111101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (900001011111107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 450000505555550 + 450000505555551.

It is an arithmetic number, because the mean of its divisors is an integer number (450000505555551).

Almost surely, 2900001011111101 is an apocalyptic number.

It is an amenable number.

900001011111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

900001011111101 is an equidigital number, since it uses as much as digits as its factorization.

900001011111101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 17.

The spelling of 900001011111101 in words is "nine hundred trillion, one billion, eleven million, one hundred eleven thousand, one hundred one".