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2011000722129 = 34747831575791
BaseRepresentation
bin11101010000111000111…
…110111101001011010001
321010020202002122102210000
4131100320332331023101
5230422012141102004
64135501352400213
7265201321046160
oct35207076751321
97106662572700
102011000722129
11705951532183
122858b40a6069
131178376825c9
146d4938ab3d7
153749db60c39
hex1d438fbd2d1

2011000722129 has 160 divisors (see below), whose sum is σ = 3571753844736. Its totient is φ = 1103874894720.

The previous prime is 2011000722119. The next prime is 2011000722131. The reversal of 2011000722129 is 9212270001102.

It is not a de Polignac number, because 2011000722129 - 223 = 2010992333521 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2011000722119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 347260224 + ... + 347266014.

Almost surely, 22011000722129 is an apocalyptic number.

It is an amenable number.

2011000722129 is a deficient number, since it is larger than the sum of its proper divisors (1560753122607).

2011000722129 is a wasteful number, since it uses less digits than its factorization.

2011000722129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6097 (or 6088 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 2011000722129 in words is "two trillion, eleven billion, seven hundred twenty-two thousand, one hundred twenty-nine".

Divisors: 1 3 7 9 21 27 47 63 81 83 141 157 189 249 329 423 471 567 581 747 987 1099 1269 1413 1743 2241 2961 3297 3807 3901 4239 5229 5791 6723 7379 8883 9891 11703 12717 13031 15687 17373 22137 26649 27307 29673 35109 39093 40537 47061 51653 52119 66411 81921 89019 91217 105327 117279 121611 154959 156357 199233 245763 272177 273651 315981 351837 364833 464877 469071 480653 597699 612457 737289 816531 820953 909187 1055511 1094499 1394631 1441959 1837371 1905239 2211867 2449593 2462859 2727561 3283497 3364571 4183893 4287199 4325877 5512113 5715717 6364309 7348779 7388577 8182683 10093713 12861597 12977631 16536339 17147151 19092927 22046337 22590691 24548049 30281139 38584791 38932893 42731789 49609017 51441453 57278781 67772073 73644147 75462521 90843417 115754373 128195367 154324359 158134837 171836343 203316219 226387563 272530251 299122523 347263119 384586101 474404511 515509029 528237647 609948657 679162689 897367569 1153758303 1423213533 1584712941 1829845971 2037488067 2692102707 3461274909 3546738487 4269640599 4754138823 6112464201 8076308121 10640215461 12808921797 14262416469 24228924363 24827169409 31920646383 42787249407 74481508227 95761939149 223444524681 287285817447 670333574043 2011000722129