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11331130120101 = 32111919331212397
BaseRepresentation
bin1010010011100011101111…
…1111000101011110100101
31111010020121221101122202200
42210320323333011132211
52441122123302320401
640033241015125113
72246434652566431
oct244707377053645
944106557348680
1011331130120101
1136795616071a0
121330070673799
136426a07b326c
142b2602c619c1
15149b36cc7686
hexa4e3bfc57a5

11331130120101 has 48 divisors (see below), whose sum is σ = 18892240261440. Its totient is φ = 6472202434560.

The previous prime is 11331130120081. The next prime is 11331130120109. The reversal of 11331130120101 is 10102103113311.

11331130120101 is a `hidden beast` number, since 1 + 1 + 331 + 1 + 301 + 20 + 10 + 1 = 666.

It is not a de Polignac number, because 11331130120101 - 25 = 11331130120069 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331130120109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15243166 + ... + 15969231.

It is an arithmetic number, because the mean of its divisors is an integer number (393588338780).

Almost surely, 211331130120101 is an apocalyptic number.

11331130120101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11331130120101 is a deficient number, since it is larger than the sum of its proper divisors (7561110141339).

11331130120101 is a wasteful number, since it uses less digits than its factorization.

11331130120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31212626 (or 31212623 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 11331130120101 its reverse (10102103113311), we get a palindrome (21433233233412).

The spelling of 11331130120101 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty million, one hundred twenty thousand, one hundred one".

Divisors: 1 3 9 11 19 33 57 99 171 193 209 579 627 1737 1881 2123 3667 6369 11001 19107 33003 40337 121011 363033 31212397 93637191 280911573 343336367 593035543 1030009101 1779106629 3090027303 5337319887 6023992621 6523390973 18071977863 19570172919 54215933589 58710518757 66263918831 114455859799 198791756493 343367579397 596375269479 1030102738191 1259014457789 3777043373367 11331130120101