Search a number
-
+
21110002112200 = 2352317643517831
BaseRepresentation
bin1001100110011000011100…
…01011010101011011001000
32202202002121100021012220111
410303030032023111123020
510231331241020042300
6112521445011404104
74306101350216251
oct463141613253310
982662540235814
1021110002112200
1167a9779945a61
12244b314bb3634
13ba18843389a1
1452da2dc77b28
152691bd9b09ba
hex13330e2d56c8

21110002112200 has 96 divisors (see below), whose sum is σ = 49312250688960. Its totient is φ = 8404256620800.

The previous prime is 21110002112183. The next prime is 21110002112219. The reversal of 21110002112200 is 221120001112.

It is a super-2 number, since 2×211100021122002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40507285 + ... + 41025115.

It is an arithmetic number, because the mean of its divisors is an integer number (513669278010).

Almost surely, 221110002112200 is an apocalyptic number.

21110002112200 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 21110002112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24656125344480).

21110002112200 is an abundant number, since it is smaller than the sum of its proper divisors (28202248576760).

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

21110002112200 is a wasteful number, since it uses less digits than its factorization.

21110002112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518807 (or 518798 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21110002112200 its reverse (221120001112), we get a palindrome (21331122113312).

The spelling of 21110002112200 in words is "twenty-one trillion, one hundred ten billion, two million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 317 634 643 1268 1286 1585 2536 2572 3170 3215 5144 6340 6430 7925 12680 12860 15850 16075 25720 31700 32150 63400 64300 128600 203831 407662 517831 815324 1019155 1035662 1630648 2038310 2071324 2589155 4076620 4142648 5095775 5178310 8153240 10191550 10356620 12945775 20383100 20713240 25891550 40766200 51783100 103566200 164152427 328304854 332965333 656609708 665930666 820762135 1313219416 1331861332 1641524270 1664826665 2663722664 3283048540 3329653330 4103810675 6566097080 6659306660 8207621350 8324133325 13318613320 16415242700 16648266650 32830485400 33296533300 66593066600 105550010561 211100021122 422200042244 527750052805 844400084488 1055500105610 2111000211220 2638750264025 4222000422440 5277500528050 10555001056100 21110002112200