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21512106 = 23271121783
BaseRepresentation
bin101001000001…
…1111110101010
31111110221001200
41102003332222
521001341411
62045025030
7350564340
oct122037652
944427050
1021512106
1111163400
127255176
1345c2775
142bdd990
151d4de56
hex1483faa

21512106 has 144 divisors (see below), whose sum is σ = 62741952. Its totient is φ = 5195520.

The previous prime is 21512093. The next prime is 21512129. The reversal of 21512106 is 60121512.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 259141 + ... + 259223.

It is an arithmetic number, because the mean of its divisors is an integer number (435708).

Almost surely, 221512106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21512106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31370976).

21512106 is an abundant number, since it is smaller than the sum of its proper divisors (41229846).

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

21512106 is a wasteful number, since it uses less digits than its factorization.

21512106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 21512106 is about 4638.1144875908. The cubic root of 21512106 is about 278.1170685109.

Adding to 21512106 its reverse (60121512), we get a palindrome (81633618).

It can be divided in two parts, 215 and 12106, that added together give a palindrome (12321).

The spelling of 21512106 in words is "twenty-one million, five hundred twelve thousand, one hundred six".

Divisors: 1 2 3 6 7 9 11 14 17 18 21 22 33 34 42 51 63 66 77 83 99 102 119 121 126 153 154 166 187 198 231 238 242 249 306 357 363 374 462 498 561 581 693 714 726 747 847 913 1071 1089 1122 1162 1309 1386 1411 1494 1683 1694 1743 1826 2057 2142 2178 2541 2618 2739 2822 3366 3486 3927 4114 4233 5082 5229 5478 6171 6391 7623 7854 8217 8466 9877 10043 10458 11781 12342 12699 12782 14399 15246 15521 16434 18513 19173 19754 20086 23562 25398 28798 29631 30129 31042 37026 38346 43197 46563 57519 59262 60258 70301 86394 88893 90387 93126 108647 115038 129591 139689 140602 170731 177786 180774 210903 217294 259182 279378 325941 341462 421806 512193 632709 651882 977823 1024386 1195117 1265418 1536579 1955646 2390234 3073158 3585351 7170702 10756053 21512106