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11002311332001 = 32116113187138157
BaseRepresentation
bin1010000000011010110011…
…0110111101000010100001
31102221210212222211111202100
42200012230312331002201
52420230213200111001
635222220403241013
72213614350162513
oct240065466750241
942853788744670
1011002311332001
113562065a0a950
1212983a3979169
1361a68a236122
142a072c513bb3
151412de568586
hexa01acdbd0a1

11002311332001 has 48 divisors (see below), whose sum is σ = 17622651953088. Its totient is φ = 6558210057600.

The previous prime is 11002311331919. The next prime is 11002311332009. The reversal of 11002311332001 is 10023311320011.

11002311332001 is a `hidden beast` number, since 1 + 100 + 231 + 1 + 332 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 11002311332001 - 210 = 11002311330977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11002311332009) 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 47 ways as a sum of consecutive naturals, for example, 79567215 + ... + 79705371.

It is an arithmetic number, because the mean of its divisors is an integer number (367138582356).

Almost surely, 211002311332001 is an apocalyptic number.

11002311332001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11002311332001 is a deficient number, since it is larger than the sum of its proper divisors (6620340621087).

11002311332001 is a wasteful number, since it uses less digits than its factorization.

11002311332001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151422 (or 151419 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11002311332001 its reverse (10023311320011), we get a palindrome (21025622652012).

The spelling of 11002311332001 in words is "eleven trillion, two billion, three hundred eleven million, three hundred thirty-two thousand, one".

Divisors: 1 3 9 11 33 61 99 183 549 671 2013 6039 13187 39561 118683 138157 145057 414471 435171 804407 1243413 1305513 1519727 2413221 4559181 7239663 8427577 8848477 13677543 25282731 26545431 75848193 79636293 92703347 278110041 834330123 1821876359 5465629077 16396887231 20040639949 60121919847 111134457899 180365759541 333403373697 1000210121091 1222479036889 3667437110667 11002311332001