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1320133101 = 37374793547
BaseRepresentation
bin100111010101111…
…1010000111101101
310102000001201011120
41032223322013231
510200423224401
6334555011153
744466642360
oct11653720755
93360051146
101320133101
116181a95a1
1230a139ab9
13180666b61
14c74820d7
157ad6a836
hex4eafa1ed

1320133101 has 32 divisors (see below), whose sum is σ = 2070896640. Its totient is φ = 732234816.

The previous prime is 1320133069. The next prime is 1320133121. The reversal of 1320133101 is 1013310231.

It is not a de Polignac number, because 1320133101 - 25 = 1320133069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320133121) 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 31 ways as a sum of consecutive naturals, for example, 370410 + ... + 373956.

It is an arithmetic number, because the mean of its divisors is an integer number (64715520).

Almost surely, 21320133101 is an apocalyptic number.

It is an amenable number.

1320133101 is a deficient number, since it is larger than the sum of its proper divisors (750763539).

1320133101 is a wasteful number, since it uses less digits than its factorization.

1320133101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4073.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1320133101 is about 36333.6359452230. The cubic root of 1320133101 is about 1096.9981796128.

Adding to 1320133101 its reverse (1013310231), we get a palindrome (2333443332).

It can be divided in two parts, 1320 and 133101, that added together give a triangular number (134421 = T518).

The spelling of 1320133101 in words is "one billion, three hundred twenty million, one hundred thirty-three thousand, one hundred one".

Divisors: 1 3 7 21 37 111 259 479 777 1437 3353 3547 10059 10641 17723 24829 53169 74487 124061 131239 372183 393717 918673 1699013 2756019 5097039 11893091 35679273 62863481 188590443 440044367 1320133101