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201300221034 = 234115310320693
BaseRepresentation
bin1011101101111001101…
…1011001110001101010
3201020120221212202110000
42323132123121301222
511244230324033114
6232250454203430
720354256434613
oct2733633316152
9636527782400
10201300221034
11784097aa540
123301b053576
1315ca0803933
149a58a5cc0a
1553826a9e09
hex2ede6d9c6a

201300221034 has 160 divisors (see below), whose sum is σ = 506243447424. Its totient is φ = 59265198720.

The previous prime is 201300221033. The next prime is 201300221053. The reversal of 201300221034 is 430122003102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201300220998 and 201300221016.

It is not an unprimeable number, because it can be changed into a prime (201300221033) 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 79 ways as a sum of consecutive naturals, for example, 9717592 + ... + 9738284.

Almost surely, 2201300221034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201300221034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253121723712).

201300221034 is an abundant number, since it is smaller than the sum of its proper divisors (304943226390).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201300221034 is a wasteful number, since it uses less digits than its factorization.

201300221034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20874 (or 20865 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 201300221034 its reverse (430122003102), we get a palindrome (631422224136).

The spelling of 201300221034 in words is "two hundred one billion, three hundred million, two hundred twenty-one thousand, thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 53 54 66 81 99 103 106 159 162 198 206 297 309 318 477 583 594 618 891 927 954 1133 1166 1431 1749 1782 1854 2266 2781 2862 3399 3498 4293 5247 5459 5562 6798 8343 8586 10197 10494 10918 15741 16377 16686 20394 20693 30591 31482 32754 41386 47223 49131 60049 61182 62079 91773 94446 98262 120098 124158 147393 180147 183546 186237 227623 294786 360294 372474 442179 455246 540441 558711 682869 884358 1080882 1096729 1117422 1365738 1621323 1676133 2048607 2131379 2193458 3242646 3290187 3352266 4097214 4262758 4863969 6145821 6394137 6580374 9727938 9870561 12064019 12291642 12788274 18437463 19182411 19741122 23445169 24128038 29611683 36192057 36874926 38364822 46890338 57547233 59223366 70335507 72384114 88835049 108576171 112963087 115094466 140671014 172641699 177670098 211006521 217152342 225926174 325728513 338889261 345283398 422013042 633019563 651457026 677778522 977185539 1016667783 1242593957 1266039126 1899058689 1954371078 2033335566 2485187914 3050003349 3727781871 3798117378 6100006698 7455563742 9150010047 11183345613 18300020094 22366691226 33550036839 67100073678 100650110517 201300221034