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201003012 = 22337972741
BaseRepresentation
bin10111111101100…
…01000000000100
3112000020000022000
423332301000010
5402424044022
631540105300
74660332420
oct1376610004
9460200260
10201003012
11a35085a1
1257395230
13328489c2
141c9a3b80
15129a66ac
hexbfb1004

201003012 has 96 divisors (see below), whose sum is σ = 601923840. Its totient is φ = 56816640.

The previous prime is 201003007. The next prime is 201003013. The reversal of 201003012 is 210300102.

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 = 201002985 and 201003003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201003013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71962 + ... + 74702.

It is an arithmetic number, because the mean of its divisors is an integer number (6270040).

Almost surely, 2201003012 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 201003012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300961920).

201003012 is an abundant number, since it is smaller than the sum of its proper divisors (400920828).

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

201003012 is a wasteful number, since it uses less digits than its factorization.

201003012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2858 (or 2850 counting only the distinct ones).

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

The square root of 201003012 is about 14177.5531034096. The cubic root of 201003012 is about 585.7795262191.

Adding to 201003012 its reverse (210300102), we get a palindrome (411303114).

The spelling of 201003012 in words is "two hundred one million, three thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 97 108 126 189 194 252 291 378 388 582 679 756 873 1164 1358 1746 2037 2619 2716 2741 3492 4074 5238 5482 6111 8148 8223 10476 10964 12222 16446 18333 19187 24444 24669 32892 36666 38374 49338 57561 73332 74007 76748 98676 115122 148014 172683 230244 265877 296028 345366 518049 531754 690732 797631 1036098 1063508 1595262 1861139 2072196 2392893 3190524 3722278 4785786 5583417 7178679 7444556 9571572 11166834 14357358 16750251 22333668 28714716 33500502 50250753 67001004 100501506 201003012