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32100012 = 223271759127
BaseRepresentation
bin111101001110…
…0111010101100
32020101211221100
41322130322230
531204200022
63104003100
7536563020
oct172347254
966354840
1032100012
111713523a
12a900490
13685bab9
144398380
152c411ac
hex1e9ceac

32100012 has 144 divisors (see below), whose sum is σ = 100638720. Its totient is φ = 8418816.

The previous prime is 32099999. The next prime is 32100017. The reversal of 32100012 is 21000123.

It is a happy number.

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 = 32099967 and 32100003.

It is not an unprimeable number, because it can be changed into a prime (32100017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252693 + ... + 252819.

It is an arithmetic number, because the mean of its divisors is an integer number (698880).

Almost surely, 232100012 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 32100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50319360).

32100012 is an abundant number, since it is smaller than the sum of its proper divisors (68538708).

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

32100012 is a wasteful number, since it uses less digits than its factorization.

32100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 32100012 is about 5665.6872486928. The cubic root of 32100012 is about 317.8106146574.

Adding to 32100012 its reverse (21000123), we get a palindrome (53100135).

It can be divided in two parts, 3 and 2100012, that multiplied together give a palindrome (6300036).

The spelling of 32100012 in words is "thirty-two million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 59 63 68 84 102 118 119 126 127 153 177 204 236 238 252 254 306 354 357 381 413 476 508 531 612 708 714 762 826 889 1003 1062 1071 1143 1239 1428 1524 1652 1778 2006 2124 2142 2159 2286 2478 2667 3009 3556 3717 4012 4284 4318 4572 4956 5334 6018 6477 7021 7434 7493 8001 8636 9027 10668 12036 12954 14042 14868 14986 15113 16002 18054 19431 21063 22479 25908 28084 29972 30226 32004 36108 38862 42126 44958 45339 52451 60452 63189 67437 77724 84252 89916 90678 104902 126378 127381 134874 136017 157353 181356 209804 252756 254762 269748 272034 314706 382143 472059 509524 544068 629412 764286 891667 944118 1146429 1528572 1783334 1888236 2292858 2675001 3566668 4585716 5350002 8025003 10700004 16050006 32100012