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201112002 = 232713592081
BaseRepresentation
bin10111111110010…
…11100111000010
3112000102112210200
423333023213002
5402441041002
631542310030
74661265240
oct1377134702
9460375720
10201112002
11a3582473
1257428316
13328864b0
141c9d1790
15129c8b1c
hexbfcb9c2

201112002 has 96 divisors (see below), whose sum is σ = 545650560. Its totient is φ = 52116480.

The previous prime is 201111991. The next prime is 201112019. The reversal of 201112002 is 200211102.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95602 + ... + 97682.

It is an arithmetic number, because the mean of its divisors is an integer number (5683860).

Almost surely, 2201112002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201112002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272825280).

201112002 is an abundant number, since it is smaller than the sum of its proper divisors (344538558).

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

201112002 is a wasteful number, since it uses less digits than its factorization.

201112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 2165 counting only the distinct ones).

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

The square root of 201112002 is about 14181.3963346350. The cubic root of 201112002 is about 585.8853829656.

Adding to 201112002 its reverse (200211102), we get a palindrome (401323104).

The spelling of 201112002 in words is "two hundred one million, one hundred twelve thousand, two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 59 63 78 91 117 118 126 177 182 234 273 354 413 531 546 767 819 826 1062 1239 1534 1638 2081 2301 2478 3717 4162 4602 5369 6243 6903 7434 10738 12486 13806 14567 16107 18729 27053 29134 32214 37458 43701 48321 54106 81159 87402 96642 122779 131103 162318 189371 243477 245558 262206 368337 378742 486954 568113 736674 859453 1105011 1136226 1596127 1704339 1718906 2210022 2578359 3192254 3408678 4788381 5156718 7735077 9576762 11172889 14365143 15470154 22345778 28730286 33518667 67037334 100556001 201112002