Search a number
-
+
21111102021200 = 2452239457483211
BaseRepresentation
bin1001100110011010011111…
…01111001001111001010000
32202202012102222221101101212
410303031033233021321100
510231341014104134300
6112522150102315252
74306140534253112
oct463151757117120
982665388841355
1021111102021200
1167aa1937a8964
12244b581428b28
13ba19cb187109
1452dad5d913b2
15269235329935
hex13334fbc9e50

21111102021200 has 120 divisors (see below), whose sum is σ = 51043191181440. Its totient is φ = 8390690380800.

The previous prime is 21111102021199. The next prime is 21111102021209. The reversal of 21111102021200 is 212020111112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21111102021209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43447595 + ... + 43930805.

It is an arithmetic number, because the mean of its divisors is an integer number (425359926512).

Almost surely, 221111102021200 is an apocalyptic number.

21111102021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21111102021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25521595590720).

21111102021200 is an abundant number, since it is smaller than the sum of its proper divisors (29932089160240).

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

21111102021200 is a wasteful number, since it uses less digits than its factorization.

21111102021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483925 (or 483914 counting only the distinct ones).

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

Adding to 21111102021200 its reverse (212020111112), we get a palindrome (21323122132312).

The spelling of 21111102021200 in words is "twenty-one trillion, one hundred eleven billion, one hundred two million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 239 400 457 478 914 956 1195 1828 1912 2285 2390 3656 3824 4570 4780 5975 7312 9140 9560 11425 11950 18280 19120 22850 23900 36560 45700 47800 91400 95600 109223 182800 218446 436892 483211 546115 873784 966422 1092230 1747568 1932844 2184460 2416055 2730575 3865688 4368920 4832110 5461150 7731376 8737840 9664220 10922300 12080275 19328440 21844600 24160550 38656880 43689200 48321100 96642200 115487429 193284400 220827427 230974858 441654854 461949716 577437145 883309708 923899432 1104137135 1154874290 1766619416 1847798864 2208274270 2309748580 2887185725 3533238832 4416548540 4619497160 5520685675 5774371450 8833097080 9238994320 11041371350 11548742900 17666194160 22082742700 23097485800 44165485400 46194971600 52777755053 88330970800 105555510106 211111020212 263888775265 422222040424 527777550530 844444080848 1055555101060 1319443876325 2111110202120 2638887752650 4222220404240 5277775505300 10555551010600 21111102021200