Search a number
-
+
2101110221200 = 245243385131721
BaseRepresentation
bin11110100100110011111…
…011011010100110010000
321102212022222120021101111
4132210303323122212100
5233411033204034300
64245123043543104
7304541320130044
oct36446373324620
97385288507344
102101110221200
11740091a42571
1229b26168aa94
13123198092c23
14739a1150024
15399c491b9ba
hex1e933eda990

2101110221200 has 120 divisors (see below), whose sum is σ = 5166814900896. Its totient is φ = 820659840000.

The previous prime is 2101110221159. The next prime is 2101110221233. The reversal of 2101110221200 is 21220111012.

It is a super-2 number, since 2×21011102212002 (a number of 25 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, 66221340 + ... + 66253060.

Almost surely, 22101110221200 is an apocalyptic number.

2101110221200 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 2101110221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583407450448).

2101110221200 is an abundant number, since it is smaller than the sum of its proper divisors (3065704679696).

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

2101110221200 is a wasteful number, since it uses less digits than its factorization.

2101110221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35633 (or 35622 counting only the distinct ones).

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

Adding to 2101110221200 its reverse (21220111012), we get a palindrome (2122330332212).

The spelling of 2101110221200 in words is "two trillion, one hundred one billion, one hundred ten million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 172 200 215 344 400 430 688 860 1075 1720 2150 3440 3851 4300 7702 8600 15404 17200 19255 30808 31721 38510 61616 63442 77020 96275 126884 154040 158605 165593 192550 253768 308080 317210 331186 385100 507536 634420 662372 770200 793025 827965 1268840 1324744 1364003 1540400 1586050 1655930 2537680 2649488 2728006 3172100 3311860 4139825 5456012 6344200 6623720 6820015 8279650 10912024 12688400 13247440 13640030 16559300 21824048 27280060 33118600 34100075 54560120 66237200 68200150 109120240 122157571 136400300 244315142 272800600 488630284 545601200 610787855 977260568 1221575710 1954521136 2443151420 3053939275 4886302840 5252775553 6107878550 9772605680 10505551106 12215757100 21011102212 24431514200 26263877765 42022204424 48863028400 52527755530 84044408848 105055511060 131319388825 210111022120 262638777650 420222044240 525277555300 1050555110600 2101110221200