Search a number
-
+
2010122112110 = 257232961705779
BaseRepresentation
bin11101010000000100100…
…111010100110001101110
321010011110212101102102012
4131100010213110301232
5230413212230041420
64135234245001222
7265140462016010
oct35200447246156
97104425342365
102010122112110
1170554058a4a2
122856a99b3212
13117727637c18
146d40cd1c1b0
153744b95bdc5
hex1d4049d4c6e

2010122112110 has 128 divisors (see below), whose sum is σ = 4536866764800. Its totient is φ = 626053317120.

The previous prime is 2010122112007. The next prime is 2010122112127. The reversal of 2010122112110 is 112112210102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2495201 + ... + 3200979.

It is an arithmetic number, because the mean of its divisors is an integer number (35444271600).

Almost surely, 22010122112110 is an apocalyptic number.

2010122112110 is an abundant number, since it is smaller than the sum of its proper divisors (2526744652690).

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

2010122112110 is a wasteful number, since it uses less digits than its factorization.

2010122112110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705906.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2010122112110 its reverse (112112210102), we get a palindrome (2122234322212).

The spelling of 2010122112110 in words is "two trillion, ten billion, one hundred twenty-two million, one hundred twelve thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 23 29 35 46 58 61 70 115 122 145 161 203 230 290 305 322 406 427 610 667 805 854 1015 1334 1403 1610 1769 2030 2135 2806 3335 3538 4270 4669 6670 7015 8845 9338 9821 12383 14030 17690 19642 23345 24766 40687 46690 49105 61915 81374 98210 123830 203435 284809 406870 569618 705779 1411558 1424045 2848090 3528895 4940453 7057790 9880906 16232917 20467591 24702265 32465834 40935182 43052519 49404530 81164585 86105038 102337955 113630419 143273137 162329170 204675910 215262595 227260838 286546274 301367633 430525190 470754593 568152095 602735266 716365685 941509186 990207937 1136304190 1248523051 1432731370 1506838165 1980415874 2353772965 2497046102 3013676330 3295282151 4707545930 4951039685 6242615255 6590564302 6931455559 8739661357 9902079370 12485230510 13862911118 16476410755 17479322714 28716030173 32952821510 34657277795 43698306785 57432060346 69314555590 87396613570 143580150865 201012211211 287160301730 402024422422 1005061056055 2010122112110