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11010001000011 = 31331731374791901
BaseRepresentation
bin1010000000110111011100…
…1100101101011001001011
31102222112201220022010012020
42200031313030231121023
52420341440224000021
635225531415415523
72214306042241626
oct240156714553113
942875656263166
1011010001000011
113565351597282
12129998b0845a3
1361b3143a1740
142a0c5b8b8dbd
151415de6b37c6
hexa037732d64b

11010001000011 has 128 divisors (see below), whose sum is σ = 16707080355840. Its totient is φ = 6403027968000.

The previous prime is 11010000999967. The next prime is 11010001000021. The reversal of 11010001000011 is 11000010001011.

11010001000011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11010001000011 - 225 = 11009967445579 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11010001000021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5791688161 + ... + 5791690061.

It is an arithmetic number, because the mean of its divisors is an integer number (130524065280).

Almost surely, 211010001000011 is an apocalyptic number.

11010001000011 is a deficient number, since it is larger than the sum of its proper divisors (5697079355829).

11010001000011 is a wasteful number, since it uses less digits than its factorization.

11010001000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2637.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 11010001000011 its reverse (11000010001011), we get a palindrome (22010011001022).

The spelling of 11010001000011 in words is "eleven trillion, ten billion, one million, eleven", and thus it is an aban number and an uban number.

Divisors: 1 3 13 31 39 73 93 137 219 403 411 479 949 1209 1437 1781 1901 2263 2847 4247 5343 5703 6227 6789 10001 12741 14849 18681 24713 29419 30003 34967 44547 55211 58931 65623 74139 88257 104901 130013 138773 165633 176793 193037 196869 260437 310031 390039 416319 454571 579111 766103 781311 853099 910579 930093 1083977 1363713 1804049 2034313 2298309 2559297 2731737 3251931 3385681 4030403 4301963 4790479 5412147 6102939 8073547 10157043 11837527 12091209 12905889 14091701 14371437 19011901 24220641 26446069 28227949 35512581 42275103 55925519 57035703 62276227 66472267 79338207 84683847 104956111 124749323 148504849 167776557 186828681 199416801 247154713 314868333 366963337 374247969 445514547 589368931 741464139 864139471 1100890011 1621741199 1768106793 1930563037 2060640277 2592418413 3867229013 4865223597 5791689111 6181920831 7661796103 9106700579 11601687039 22985388309 26788323601 27320101737 50273977169 80364970803 118387107527 150821931507 282307717949 355161322581 846923153847 3670000333337 11010001000011