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332133002001 = 3276148493649
BaseRepresentation
bin1001101010101001010…
…10110110101100010001
31011202021220211122210100
410311110222312230101
520420202022031001
6412325122523013
732665364636043
oct4652452665421
91152256748710
10332133002001
1111894746a2a9
1254452806469
1325421098068
141210a987a93
15898d6bd586
hex4d54ab6b11

332133002001 has 12 divisors (see below), whose sum is σ = 480378096900. Its totient is φ = 221131034880.

The previous prime is 332133001961. The next prime is 332133002081. The reversal of 332133002001 is 100200331233.

332133002001 is a `hidden beast` number, since 332 + 1 + 330 + 0 + 2 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 144457765776 + 187675236225 = 380076^2 + 433215^2 .

It is not a de Polignac number, because 332133002001 - 223 = 332124613393 is a prime.

It is a super-2 number, since 2×3321330020012 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332133002081) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 24239976 + ... + 24253673.

It is an arithmetic number, because the mean of its divisors is an integer number (40031508075).

Almost surely, 2332133002001 is an apocalyptic number.

It is an amenable number.

332133002001 is a deficient number, since it is larger than the sum of its proper divisors (148245094899).

332133002001 is a wasteful number, since it uses less digits than its factorization.

332133002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48494416 (or 48494413 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 332133002001 its reverse (100200331233), we get a palindrome (432333333234).

The spelling of 332133002001 in words is "three hundred thirty-two billion, one hundred thirty-three million, two thousand, one".

Divisors: 1 3 9 761 2283 6849 48493649 145480947 436442841 36903666889 110711000667 332133002001