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21100212 = 22327313773
BaseRepresentation
bin101000001111…
…1011010110100
31110201000001100
41100133122310
520400201322
62032130100
7344230440
oct120373264
943630040
1021100212
1110a019a1
127096930
1344aa143
142b33820
151cbbdac
hex141f6b4

21100212 has 144 divisors (see below), whose sum is σ = 65508352. Its totient is φ = 5598720.

The previous prime is 21100207. The next prime is 21100217. The reversal of 21100212 is 21200112.

It is an interprime number because it is at equal distance from previous prime (21100207) and next prime (21100217).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 21100194 and 21100203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100217) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 289008 + ... + 289080.

Almost surely, 221100212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21100212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32754176).

21100212 is an abundant number, since it is smaller than the sum of its proper divisors (44408140).

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

21100212 is a wasteful number, since it uses less digits than its factorization.

21100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 21100212 is about 4593.4967073026. The cubic root of 21100212 is about 276.3305742866.

Adding to 21100212 its reverse (21200112), we get a palindrome (42300324).

It can be divided in two parts, 21100 and 212, that added together give a palindrome (21312).

The spelling of 21100212 in words is "twenty-one million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 37 42 62 63 73 74 84 93 111 124 126 146 148 186 217 219 222 252 259 279 292 333 372 434 438 444 511 518 558 651 657 666 777 868 876 1022 1036 1116 1147 1302 1314 1332 1533 1554 1953 2044 2263 2294 2331 2604 2628 2701 3066 3108 3441 3906 4526 4588 4599 4662 5402 6132 6789 6882 7812 8029 8103 9052 9198 9324 10323 10804 13578 13764 15841 16058 16206 18396 18907 20367 20646 24087 24309 27156 31682 32116 32412 37814 40734 41292 47523 48174 48618 56721 63364 72261 75628 81468 83731 95046 96348 97236 113442 142569 144522 167462 170163 190092 226884 251193 285138 289044 334924 340326 502386 570276 586117 680652 753579 1004772 1172234 1507158 1758351 2344468 3014316 3516702 5275053 7033404 10550106 21100212