Search a number
-
+
11120210202000 = 243534094531463
BaseRepresentation
bin1010000111010010000000…
…1011011100110110010000
31110101002012120100122202010
42201310200023130312100
52424143142302431000
635352315401222520
72225260114063464
oct241644013346620
943332176318663
1011120210202000
1135a8066834999
1212b7207a91a40
136288290281b3
142a63147984a4
151443ded31d50
hexa1d202dcd90

11120210202000 has 160 divisors (see below), whose sum is σ = 35939222242560. Its totient is φ = 2958138393600.

The previous prime is 11120210201957. The next prime is 11120210202091. The reversal of 11120210202000 is 20201202111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188269 + ... + 4719731.

It is an arithmetic number, because the mean of its divisors is an integer number (224620139016).

Almost surely, 211120210202000 is an apocalyptic number.

11120210202000 is a gapful number since it is divisible by the number (10) 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 11120210202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17969611121280).

11120210202000 is an abundant number, since it is smaller than the sum of its proper divisors (24819012040560).

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

11120210202000 is a wasteful number, since it uses less digits than its factorization.

11120210202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4531898 (or 4531882 counting only the distinct ones).

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

Adding to 11120210202000 its reverse (20201202111), we get a palindrome (11140411404111).

The spelling of 11120210202000 in words is "eleven trillion, one hundred twenty billion, two hundred ten million, two hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 409 500 600 750 818 1000 1200 1227 1500 1636 2000 2045 2454 3000 3272 4090 4908 6000 6135 6544 8180 9816 10225 12270 16360 19632 20450 24540 30675 32720 40900 49080 51125 61350 81800 98160 102250 122700 153375 163600 204500 245400 306750 409000 490800 613500 818000 1227000 2454000 4531463 9062926 13594389 18125852 22657315 27188778 36251704 45314630 54377556 67971945 72503408 90629260 108755112 113286575 135943890 181258520 217510224 226573150 271887780 339859725 362517040 453146300 543775560 566432875 679719450 906292600 1087551120 1132865750 1359438900 1699298625 1812585200 1853368367 2265731500 2718877800 3398597250 3706736734 4531463000 5437755600 5560105101 6797194500 7413473468 9062926000 9266841835 11120210202 13594389000 14826946936 18533683670 22240420404 27188778000 27800525505 29653893872 37067367340 44480840808 46334209175 55601051010 74134734680 88961681616 92668418350 111202102020 139002627525 148269469360 185336836700 222404204040 231671045875 278005255050 370673673400 444808408080 463342091750 556010510100 695013137625 741347346800 926684183500 1112021020200 1390026275250 1853368367000 2224042040400 2780052550500 3706736734000 5560105101000 11120210202000