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3313201332132 = 223292033370337
BaseRepresentation
bin110000001101101010001…
…100000011111110100100
3102201201221200211110102100
4300031222030003332210
5413240414020112012
611014021431012100
7461241134440266
oct60155214037644
912651850743370
103313201332132
11106813686021a
1245615450a030
131b0583662c33
14b6507411b36
155b2b5d738dc
hex3036a303fa4

3313201332132 has 18 divisors (see below), whose sum is σ = 8375036700758. Its totient is φ = 1104400444032.

The previous prime is 3313201332121. The next prime is 3313201332143. The reversal of 3313201332132 is 2312331023133.

3313201332132 is a `hidden beast` number, since 3 + 3 + 1 + 320 + 1 + 332 + 1 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3313201332121) and next prime (3313201332143).

It can be written as a sum of positive squares in only one way, i.e., 2782844530596 + 530356801536 = 1668186^2 + 728256^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 3313201332096 and 3313201332105.

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 5 ways as a sum of consecutive naturals, for example, 46016685133 + ... + 46016685204.

Almost surely, 23313201332132 is an apocalyptic number.

It is an amenable number.

3313201332132 is an abundant number, since it is smaller than the sum of its proper divisors (5061835368626).

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

3313201332132 is a wasteful number, since it uses less digits than its factorization.

3313201332132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92033370347 (or 92033370342 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 3313201332132 its reverse (2312331023133), we get a palindrome (5625532355265).

The spelling of 3313201332132 in words is "three trillion, three hundred thirteen billion, two hundred one million, three hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 92033370337 184066740674 276100111011 368133481348 552200222022 828300333033 1104400444044 1656600666066 3313201332132