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2121100002210 = 235727767354181
BaseRepresentation
bin11110110111011011011…
…010011000001110100010
321111202221002212100211010
4132313123122120032202
5234223003100032320
64302230410201350
7306146556353010
oct36673332301642
97452832770733
102121100002210
1174860a721942
122a3100123256
13125032600407
1474939d358b0
153a294819ae0
hex1eddb6983a2

2121100002210 has 128 divisors (see below), whose sum is σ = 5847661269504. Its totient is φ = 482345902080.

The previous prime is 2121100002209. The next prime is 2121100002251. The reversal of 2121100002210 is 122000011212.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 39121320 + ... + 39175500.

It is an arithmetic number, because the mean of its divisors is an integer number (45684853668).

Almost surely, 22121100002210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121100002210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2923830634752).

2121100002210 is an abundant number, since it is smaller than the sum of its proper divisors (3726561267294).

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

2121100002210 is a wasteful number, since it uses less digits than its factorization.

2121100002210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55148.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2121100002210 its reverse (122000011212), we get a palindrome (2243100013422).

The spelling of 2121100002210 in words is "two trillion, one hundred twenty-one billion, one hundred million, two thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 277 554 673 831 1346 1385 1662 1939 2019 2770 3365 3878 4038 4155 4711 5817 6730 8310 9422 9695 10095 11634 14133 19390 20190 23555 28266 29085 47110 54181 58170 70665 108362 141330 162543 186421 270905 325086 372842 379267 541810 559263 758534 812715 932105 1118526 1137801 1304947 1625430 1864210 1896335 2275602 2609894 2796315 3792670 3914841 5592630 5689005 6524735 7829682 11378010 13049470 15008137 19574205 30016274 36463813 39148410 45024411 72927626 75040685 90048822 105056959 109391439 150081370 182319065 210113918 218782878 225122055 255246691 315170877 364638130 450244110 510493382 525284795 546957195 630341754 765740073 1050569590 1093914390 1276233455 1531480146 1575854385 2552466910 3151708770 3828700365 7657400730 10100476201 20200952402 30301428603 50502381005 60602857206 70703333407 101004762010 141406666814 151507143015 212110000221 303014286030 353516667035 424220000442 707033334070 1060550001105 2121100002210