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11331011000001 = 3721131310972707
BaseRepresentation
bin1010010011100011010011…
…1000101011011011000001
31111010020022122020201201010
42210320310320223123001
52441121402304000001
640033221122031133
72246432005231500
oct244706470533301
944106278221633
1011331011000001
113679500346530
1213300387a84a9
13642681c069b4
142b25d10d4837
15149b2b5e78d6
hexa4e34e2b6c1

11331011000001 has 96 divisors (see below), whose sum is σ = 19797422837760. Its totient is φ = 5694450249600.

The previous prime is 11331010999967. The next prime is 11331011000011. The reversal of 11331011000001 is 10000011013311.

It is not a de Polignac number, because 11331011000001 - 26 = 11331010999937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11331011000011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155808490 + ... + 155881196.

It is an arithmetic number, because the mean of its divisors is an integer number (206223154560).

Almost surely, 211331011000001 is an apocalyptic number.

11331011000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11331011000001 is a deficient number, since it is larger than the sum of its proper divisors (8466411837759).

11331011000001 is a wasteful number, since it uses less digits than its factorization.

11331011000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75875 (or 75868 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 11331011000001 its reverse (10000011013311), we get a palindrome (21331022013312).

The spelling of 11331011000001 in words is "eleven trillion, three hundred thirty-one billion, eleven million, one", and thus it is an aban number.

Divisors: 1 3 7 11 21 31 33 49 77 93 147 217 231 341 539 651 1023 1519 1617 2387 3109 4557 7161 9327 16709 21763 34199 50127 65289 72707 96379 102597 152341 218121 239393 289137 457023 508949 674653 718179 799777 1060169 1526847 1675751 2023959 2253917 2399331 3180507 3562643 4722571 5027253 5598439 6761751 7421183 10687929 14167713 15777419 16795317 22263549 24793087 39189073 47332257 51948281 74379261 110441933 117567219 155844843 173551609 226046063 331325799 520654827 678138189 1214861263 1582322441 2486506693 3644583789 4746967323 7007427953 7459520079 11076257087 17405546851 21022283859 33228771261 49051995671 52216640553 77081707483 121838827957 147155987013 231245122449 343363969697 365516483871 539571952381 1030091909091 1618715857143 3777003666667 11331011000001