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1332221331033 = 33172902442987
BaseRepresentation
bin10011011000101110100…
…101000100011001011001
311201100200210110122221000
4103120232211010121121
5133311342130043113
62500003010335213
7165151454321115
oct23305645043131
94640623418830
101332221331033
11473aa023509a
1219623a28a509
139882174c0a8
14486a0a24745
15249c2a81373
hex1362e944659

1332221331033 has 16 divisors (see below), whose sum is σ = 2089758951360. Its totient is φ = 835903579968.

The previous prime is 1332221331029. The next prime is 1332221331061. The reversal of 1332221331033 is 3301331222331.

1332221331033 is a `hidden beast` number, since 1 + 3 + 322 + 2 + 1 + 331 + 0 + 3 + 3 = 666.

It is not a de Polignac number, because 1332221331033 - 22 = 1332221331029 is a prime.

It is a super-3 number, since 3×13322213310333 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1332221330988 and 1332221331006.

It is not an unprimeable number, because it can be changed into a prime (1332221531033) 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 15 ways as a sum of consecutive naturals, for example, 1451221035 + ... + 1451221952.

It is an arithmetic number, because the mean of its divisors is an integer number (130609934460).

Almost surely, 21332221331033 is an apocalyptic number.

It is an amenable number.

1332221331033 is a deficient number, since it is larger than the sum of its proper divisors (757537620327).

1332221331033 is a wasteful number, since it uses less digits than its factorization.

1332221331033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2902443013 (or 2902443007 counting only the distinct ones).

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

Adding to 1332221331033 its reverse (3301331222331), we get a palindrome (4633552553364).

The spelling of 1332221331033 in words is "one trillion, three hundred thirty-two billion, two hundred twenty-one million, three hundred thirty-one thousand, thirty-three".

Divisors: 1 3 9 17 27 51 153 459 2902442987 8707328961 26121986883 49341530779 78365960649 148024592337 444073777011 1332221331033