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11022110012001 = 3112317971228961
BaseRepresentation
bin1010000001100100100011…
…1100111011001001100001
31110000200222210112122212210
42200121020330323021201
52421041240130341001
635235253141512333
72215215106163604
oct240311074731141
943020883478783
1011022110012001
11356a4a5835200
1212a01aa4126a9
1361c4c3cb39aa
142a1689b9233b
15141a9c7b8dd6
hexa0648f3b261

11022110012001 has 48 divisors (see below), whose sum is σ = 16695635572224. Its totient is φ = 6456464256000.

The previous prime is 11022110011987. The next prime is 11022110012009. The reversal of 11022110012001 is 10021001122011.

It is not a de Polignac number, because 11022110012001 - 231 = 11019962528353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11022110012009) 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, 8354161 + ... + 9583121.

It is an arithmetic number, because the mean of its divisors is an integer number (347825741088).

Almost surely, 211022110012001 is an apocalyptic number.

11022110012001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11022110012001 is a deficient number, since it is larger than the sum of its proper divisors (5673525560223).

11022110012001 is a wasteful number, since it uses less digits than its factorization.

11022110012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229814 (or 1229803 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11022110012001 its reverse (10021001122011), we get a palindrome (21043111134012).

The spelling of 11022110012001 in words is "eleven trillion, twenty-two billion, one hundred ten million, twelve thousand, one".

Divisors: 1 3 11 31 33 93 121 341 363 797 1023 2391 3751 8767 11253 24707 26301 74121 96437 271777 289311 815331 1228961 2989547 3686883 8968641 13518571 38097791 40555713 114293373 148704281 419075701 446112843 979481917 1257227103 2938445751 4609832711 10774301087 13829498133 30363939427 32322903261 91091818281 118517311957 334003333697 355551935871 1002010001091 3674036670667 11022110012001