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201212010 = 232531411759
BaseRepresentation
bin10111111111001…
…00000001101010
3112000121121222200
423333210001222
5403002241020
631544401030
74662162636
oct1377440152
9460547880
10201212010
11a364061a
1257476176
13328bcb7c
141ca19dc6
15129e8590
hexbfe406a

201212010 has 96 divisors (see below), whose sum is σ = 553512960. Its totient is φ = 50630400.

The previous prime is 201211999. The next prime is 201212021. The reversal of 201212010 is 10212102.

It is an interprime number because it is at equal distance from previous prime (201211999) and next prime (201212021).

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 201211983 and 201212001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113511 + ... + 115269.

It is an arithmetic number, because the mean of its divisors is an integer number (5765760).

Almost surely, 2201212010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201212010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276756480).

201212010 is an abundant number, since it is smaller than the sum of its proper divisors (352300950).

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

201212010 is a wasteful number, since it uses less digits than its factorization.

201212010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 1841 counting only the distinct ones).

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

The square root of 201212010 is about 14184.9219243533. The cubic root of 201212010 is about 585.9824822853.

Adding to 201212010 its reverse (10212102), we get a palindrome (211424112).

The spelling of 201212010 in words is "two hundred one million, two hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 41 45 62 82 90 93 123 155 186 205 246 279 310 369 410 465 558 615 738 930 1230 1271 1395 1759 1845 2542 2790 3518 3690 3813 5277 6355 7626 8795 10554 11439 12710 15831 17590 19065 22878 26385 31662 38130 52770 54529 57195 72119 79155 109058 114390 144238 158310 163587 216357 272645 327174 360595 432714 490761 545290 649071 721190 817935 981522 1081785 1298142 1635870 2163570 2235689 2453805 3245355 4471378 4907610 6490710 6707067 11178445 13414134 20121201 22356890 33535335 40242402 67070670 100606005 201212010