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2011520082 = 23111319163757
BaseRepresentation
bin111011111100101…
…0101110001010010
312012012000210210210
41313321111301102
513104422120312
6531333504550
7100563432015
oct16771256122
95165023723
102011520082
119424a58a0
124817a2156
1326097ba90
1415121737c
15bb8dae3c
hex77e55c52

2011520082 has 128 divisors (see below), whose sum is σ = 5012259840. Its totient is φ = 529079040.

The previous prime is 2011520057. The next prime is 2011520089. The reversal of 2011520082 is 2800251102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2011520089) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2656848 + ... + 2657604.

It is an arithmetic number, because the mean of its divisors is an integer number (39158280).

Almost surely, 22011520082 is an apocalyptic number.

2011520082 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011520082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506129920).

2011520082 is an abundant number, since it is smaller than the sum of its proper divisors (3000739758).

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

2011520082 is a wasteful number, since it uses less digits than its factorization.

2011520082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968.

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 2011520082 is about 44849.9730434702. The cubic root of 2011520082 is about 1262.3354856966.

Adding to 2011520082 its reverse (2800251102), we get a palindrome (4811771184).

The spelling of 2011520082 in words is "two billion, eleven million, five hundred twenty thousand, eighty-two".

Divisors: 1 2 3 6 11 13 19 22 26 33 38 39 57 66 78 114 143 163 209 247 286 326 418 429 489 494 627 741 757 858 978 1254 1482 1514 1793 2119 2271 2717 3097 3586 4238 4542 5379 5434 6194 6357 8151 8327 9291 9841 10758 12714 14383 16302 16654 18582 19682 23309 24981 28766 29523 34067 40261 43149 46618 49962 59046 68134 69927 80522 86298 102201 108251 120783 123391 139854 158213 186979 204402 216502 241566 246782 316426 324753 370173 373958 442871 474639 560937 649506 740346 885742 949278 1121874 1328613 1357301 1604083 2056769 2344429 2657226 2714602 3208166 4071903 4113538 4688858 4812249 6170307 7033287 8143806 9624498 12340614 14066574 17644913 25788719 30477577 35289826 51577438 52934739 60955154 77366157 91432731 105869478 154732314 182865462 335253347 670506694 1005760041 2011520082