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1005233141 = 11732574871
BaseRepresentation
bin111011111010101…
…010001111110101
32121001112010122002
4323322222033311
54024314430031
6243425345045
733624224603
oct7372521765
92531463562
101005233141
114764785a0
12240798185
13130350113
1497710873
155d3b6ccb
hex3beaa3f5

1005233141 has 16 divisors (see below), whose sum is σ = 1116194688. Its totient is φ = 897638400.

The previous prime is 1005233113. The next prime is 1005233143. The reversal of 1005233141 is 1413325001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1005233141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005233143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203936 + ... + 208806.

It is an arithmetic number, because the mean of its divisors is an integer number (69762168).

Almost surely, 21005233141 is an apocalyptic number.

1005233141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1005233141 is a deficient number, since it is larger than the sum of its proper divisors (110961547).

1005233141 is a wasteful number, since it uses less digits than its factorization.

1005233141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5212.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 1005233141 is about 31705.4118566531. The cubic root of 1005233141 is about 1001.7413462864.

Adding to 1005233141 its reverse (1413325001), we get a palindrome (2418558142).

The spelling of 1005233141 in words is "one billion, five million, two hundred thirty-three thousand, one hundred forty-one".

Divisors: 1 11 73 257 803 2827 4871 18761 53581 206371 355583 1251847 3911413 13770317 91384831 1005233141