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212100525 = 34527131151
BaseRepresentation
bin11001010010001…
…10010110101101
3112210002211020000
430221012112231
5413244204100
633014014513
75153552610
oct1451062655
9483084200
10212100525
11a97a829a
125b047439
1334c32c90
1420252177
1513949900
hexca465ad

212100525 has 120 divisors (see below), whose sum is σ = 483969024. Its totient is φ = 89424000.

The previous prime is 212100437. The next prime is 212100527. The reversal of 212100525 is 525001212.

212100525 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 212100525 - 213 = 212092333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212100498 and 212100507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212100527) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 183700 + ... + 184850.

Almost surely, 2212100525 is an apocalyptic number.

212100525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

212100525 is an abundant number, since it is smaller than the sum of its proper divisors (271868499).

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

212100525 is a wasteful number, since it uses less digits than its factorization.

212100525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 212100525 is about 14563.6714121131. The cubic root of 212100525 is about 596.3674267357.

Adding to 212100525 its reverse (525001212), we get a palindrome (737101737).

The spelling of 212100525 in words is "two hundred twelve million, one hundred thousand, five hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 21 25 27 35 39 45 63 65 75 81 91 105 117 135 175 189 195 225 273 315 325 351 405 455 525 567 585 675 819 945 975 1053 1151 1365 1575 1755 2025 2275 2457 2835 2925 3453 4095 4725 5265 5755 6825 7371 8057 8775 10359 12285 14175 14963 17265 20475 24171 26325 28775 31077 36855 40285 44889 51795 61425 72513 74815 86325 93231 104741 120855 134667 155385 184275 201425 217539 224445 258975 314223 362565 374075 404001 466155 523705 604275 652617 673335 776925 942669 1087695 1122225 1212003 1571115 1812825 2020005 2330775 2618525 2828007 3263085 3366675 4713345 5438475 6060015 7855575 8484021 10100025 14140035 16315425 23566725 30300075 42420105 70700175 212100525