Search a number
-
+
11188002000 = 243537266381
BaseRepresentation
bin10100110101101101…
…10101110011010000
31001212201012101111110
422122312311303100
5140403112031000
65050101413320
7544151306430
oct123266656320
931781171443
1011188002000
11482137654a
122202a0a240
131093b70836
14781c4c2c0
15457328850
hex29adb5cd0

11188002000 has 160 divisors (see below), whose sum is σ = 41223147264. Its totient is φ = 2557248000.

The previous prime is 11188001983. The next prime is 11188002029. The reversal of 11188002000 is 20088111.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 91191 + ... + 175190.

Almost surely, 211188002000 is an apocalyptic number.

11188002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11188002000 is an abundant number, since it is smaller than the sum of its proper divisors (30035145264).

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

11188002000 is a wasteful number, since it uses less digits than its factorization.

11188002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266414 (or 266398 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

The spelling of 11188002000 in words is "eleven billion, one hundred eighty-eight million, two thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 750 840 875 1000 1050 1200 1400 1500 1680 1750 2000 2100 2625 2800 3000 3500 4200 5250 6000 7000 8400 10500 14000 21000 42000 266381 532762 799143 1065524 1331905 1598286 1864667 2131048 2663810 3196572 3729334 3995715 4262096 5327620 5594001 6393144 6659525 7458668 7991430 9323335 10655240 11188002 12786288 13319050 14917336 15982860 18646670 19978575 21310480 22376004 26638100 27970005 29834672 31965720 33297625 37293340 39957150 44752008 46616675 53276200 55940010 63931440 66595250 74586680 79914300 89504016 93233350 99892875 106552400 111880020 133190500 139850025 149173360 159828600 186466700 199785750 223760040 233083375 266381000 279700050 319657200 372933400 399571500 447520080 466166750 532762000 559400100 699250125 745866800 799143000 932333500 1118800200 1398500250 1598286000 1864667000 2237600400 2797000500 3729334000 5594001000 11188002000