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3001135005 = 3251159102761
BaseRepresentation
bin1011001011100001…
…1010111110011101
321202011011110021100
42302320122332131
522121242310010
61213444423313
7134241140511
oct26270327635
97664143240
103001135005
111300076170
126b90a7b39
1338a9c103b
14206820141
1512871a2c0
hexb2e1af9d

3001135005 has 48 divisors (see below), whose sum is σ = 5771113920. Its totient is φ = 1430419200.

The previous prime is 3001134989. The next prime is 3001135019. The reversal of 3001135005 is 5005311003.

It is a happy number.

3001135005 is a `hidden beast` number, since 300 + 11 + 350 + 0 + 5 = 666.

It is not a de Polignac number, because 3001135005 - 24 = 3001134989 is a prime.

It is a super-2 number, since 2×30011350052 = 18013622636472700050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22176 + ... + 80585.

It is an arithmetic number, because the mean of its divisors is an integer number (120231540).

Almost surely, 23001135005 is an apocalyptic number.

It is an amenable number.

3001135005 is a deficient number, since it is larger than the sum of its proper divisors (2769978915).

3001135005 is a wasteful number, since it uses less digits than its factorization.

3001135005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102842 (or 102839 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 3001135005 is about 54782.6159013970. The cubic root of 3001135005 is about 1442.4314318715.

Adding to 3001135005 its reverse (5005311003), we get a palindrome (8006446008).

The spelling of 3001135005 in words is "three billion, one million, one hundred thirty-five thousand, five".

Divisors: 1 3 5 9 11 15 33 45 55 59 99 165 177 295 495 531 649 885 1947 2655 3245 5841 9735 29205 102761 308283 513805 924849 1130371 1541415 3391113 4624245 5651855 6062899 10173339 16955565 18188697 30314495 50866695 54566091 66691889 90943485 200075667 272830455 333459445 600227001 1000378335 3001135005