Search a number
-
+
210101222221002 = 235779781748719
BaseRepresentation
bin101111110001011000000000…
…101101111010010011001010
31000112220110222102022220200000
4233301120000231322103022
5210014244300342033002
62022503100302023430
762153212101445140
oct5761300055722312
91015813872286600
10210101222221002
1160a43478686172
121b693036277b76
1390305ca1cb618
1439c4d4c249590
15194533569661c
hexbf1600b7a4ca

210101222221002 has 96 divisors (see below), whose sum is σ = 546348545433600. Its totient is φ = 59269060803888.

The previous prime is 210101222221001. The next prime is 210101222221019. The reversal of 210101222221002 is 200122222101012.

It is a happy number.

210101222221002 is a `hidden beast` number, since 210 + 10 + 1 + 222 + 221 + 0 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (210101222221001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 390605602 + ... + 391143117.

It is an arithmetic number, because the mean of its divisors is an integer number (5691130681600).

Almost surely, 2210101222221002 is an apocalyptic number.

210101222221002 is an abundant number, since it is smaller than the sum of its proper divisors (336247323212598).

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

210101222221002 is an equidigital number, since it uses as much as digits as its factorization.

210101222221002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781748822 (or 781748810 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 210101222221002 its reverse (200122222101012), we get a palindrome (410223444322014).

The spelling of 210101222221002 in words is "two hundred ten trillion, one hundred one billion, two hundred twenty-two million, two hundred twenty-one thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 79 81 126 158 162 189 237 243 378 474 486 553 567 711 1106 1134 1422 1659 1701 2133 3318 3402 4266 4977 6399 9954 12798 14931 19197 29862 38394 44793 89586 134379 268758 781748719 1563497438 2345246157 4690492314 5472241033 7035738471 10944482066 14071476942 16416723099 21107215413 32833446198 42214430826 49250169297 61758148801 63321646239 98500338594 123516297602 126643292478 147750507891 185274446403 189964938717 295501015782 370548892806 379929877434 432307041607 443251523673 555823339209 864614083214 886503047346 1111646678418 1296921124821 1329754571019 1667470017627 2593842249642 2659509142038 3334940035254 3890763374463 5002410052881 7781526748926 10004820105762 11672290123389 15007230158643 23344580246778 30014460317286 35016870370167 70033740740334 105050611110501 210101222221002