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1141222005 = 325721147051
BaseRepresentation
bin100010000000101…
…1010101001110101
32221112102002021200
41010001122221311
54314123101010
6305124203113
740165140600
oct10401325165
92845362250
101141222005
1153620aa90
1227a239499
131525847c1
14ab7cd337
156a2c9cc0
hex4405aa75

1141222005 has 72 divisors (see below), whose sum is σ = 2510318304. Its totient is φ = 474264000.

The previous prime is 1141221997. The next prime is 1141222013. The reversal of 1141222005 is 5002221411.

It is an interprime number because it is at equal distance from previous prime (1141221997) and next prime (1141222013).

It is not a de Polignac number, because 1141222005 - 23 = 1141221997 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 730 + ... + 47780.

It is an arithmetic number, because the mean of its divisors is an integer number (34865532).

Almost surely, 21141222005 is an apocalyptic number.

1141222005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1141222005 is an abundant number, since it is smaller than the sum of its proper divisors (1369096299).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1141222005 is a wasteful number, since it uses less digits than its factorization.

1141222005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47087 (or 47077 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1141222005 is about 33781.9775176054. The cubic root of 1141222005 is about 1045.0170567182.

Adding to 1141222005 its reverse (5002221411), we get a palindrome (6143443416).

The spelling of 1141222005 in words is "one billion, one hundred forty-one million, two hundred twenty-two thousand, five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 49 55 63 77 99 105 147 165 231 245 315 385 441 495 539 693 735 1155 1617 2205 2695 3465 4851 8085 24255 47051 141153 235255 329357 423459 517561 705765 988071 1552683 1646785 2117295 2305499 2587805 2964213 3622927 4658049 4940355 6916497 7763415 10868781 11527495 14821065 18114635 20749491 23290245 25360489 32606343 34582485 54343905 76081467 103747455 126802445 163031715 228244401 380407335 1141222005