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11332032330109 = 293728137583893
BaseRepresentation
bin1010010011100111000111…
…0000101111100101111101
31111010022221211001200020011
42210321301300233211331
52441131000234030414
640033510324423221
72246466216341341
oct244716160574575
944108854050204
1011332032330109
1136799849089a7
121330282847b11
136427b56a183a
142b268a9d5621
15149b8b0dddc4
hexa4e71c2f97d

11332032330109 has 16 divisors (see below), whose sum is σ = 12082470243120. Its totient is φ = 10607677678080.

The previous prime is 11332032330079. The next prime is 11332032330127. The reversal of 11332032330109 is 90103323023311.

It can be written as a sum of positive squares in 8 ways, for example, as 700376503225 + 10631655826884 = 836885^2 + 3260622^2 .

It is a cyclic number.

It is not a de Polignac number, because 11332032330109 - 213 = 11332032321917 is a prime.

It is a super-3 number, since 3×113320323301093 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11332032430109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18490434 + ... + 19093459.

It is an arithmetic number, because the mean of its divisors is an integer number (755154390195).

Almost surely, 211332032330109 is an apocalyptic number.

It is an amenable number.

11332032330109 is a deficient number, since it is larger than the sum of its proper divisors (750437913011).

11332032330109 is a wasteful number, since it uses less digits than its factorization.

11332032330109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37584240.

The product of its (nonzero) digits is 8748, while the sum is 31.

The spelling of 11332032330109 in words is "eleven trillion, three hundred thirty-two billion, thirty-two million, three hundred thirty thousand, one hundred nine".

Divisors: 1 29 37 281 1073 8149 10397 301513 37583893 1089932897 1390604041 10561073933 40327517189 306271144057 390759735521 11332032330109