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1100133132033 = 313174973333667
BaseRepresentation
bin10000000000100101000…
…010110110011100000001
310220011122011120120112210
4100000211002312130001
5121011033040211113
62201221051012333
7142324216221405
oct20004502663401
93804564516483
101100133132033
11394622522071
1215926843a0a9
137c98554c520
143b365041105
151d93c4ec6c3
hex100250b6701

1100133132033 has 32 divisors (see below), whose sum is σ = 1672941949056. Its totient is φ = 637051143168.

The previous prime is 1100133132023. The next prime is 1100133132127. The reversal of 1100133132033 is 3302313310011.

It is not a de Polignac number, because 1100133132033 - 222 = 1100128937729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1100133132013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3130266 + ... + 3463932.

It is an arithmetic number, because the mean of its divisors is an integer number (52279435908).

Almost surely, 21100133132033 is an apocalyptic number.

1100133132033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1100133132033 is a deficient number, since it is larger than the sum of its proper divisors (572808817023).

1100133132033 is a wasteful number, since it uses less digits than its factorization.

1100133132033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338673.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1100133132033 its reverse (3302313310011), we get a palindrome (4402446442044).

The spelling of 1100133132033 in words is "one trillion, one hundred billion, one hundred thirty-three million, one hundred thirty-two thousand, thirty-three".

Divisors: 1 3 13 17 39 51 221 663 4973 14919 64649 84541 193947 253623 333667 1001001 1099033 3297099 4337671 5672339 13013013 17017017 73740407 221221221 1659325991 4977977973 21571237883 28208541847 64713713649 84625625541 366711044011 1100133132033