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11002202202000 = 243536412860687
BaseRepresentation
bin1010000000011010011001…
…0110101001111110010000
31102221210121101111010112110
42200012212112221332100
52420230002230431000
635222201504225320
72213611553453322
oct240064626517620
942853541433473
1011002202202000
11356200a352969
12129837330b240
1361a670746a69
142a071bc27612
151412d4bad850
hexa01a65a9f90

11002202202000 has 160 divisors (see below), whose sum is σ = 35526449447424. Its totient is φ = 2929342464000.

The previous prime is 11002202201959. The next prime is 11002202202037. The reversal of 11002202202000 is 20220220011.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2415657 + ... + 5276343.

Almost surely, 211002202202000 is an apocalyptic number.

11002202202000 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 11002202202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17763224723712).

11002202202000 is an abundant number, since it is smaller than the sum of its proper divisors (24524247245424).

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

11002202202000 is a wasteful number, since it uses less digits than its factorization.

11002202202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2861354 (or 2861338 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 11002202202000 its reverse (20220220011), we get a palindrome (11022422422011).

The spelling of 11002202202000 in words is "eleven trillion, two billion, two hundred two 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 80 100 120 125 150 200 240 250 300 375 400 500 600 641 750 1000 1200 1282 1500 1923 2000 2564 3000 3205 3846 5128 6000 6410 7692 9615 10256 12820 15384 16025 19230 25640 30768 32050 38460 48075 51280 64100 76920 80125 96150 128200 153840 160250 192300 240375 256400 320500 384600 480750 641000 769200 961500 1282000 1923000 2860687 3846000 5721374 8582061 11442748 14303435 17164122 22885496 28606870 34328244 42910305 45770992 57213740 68656488 71517175 85820610 114427480 137312976 143034350 171641220 214551525 228854960 286068700 343282440 357585875 429103050 572137400 686564880 715171750 858206100 1072757625 1144274800 1430343500 1716412200 1833700367 2145515250 2860687000 3432824400 3667400734 4291030500 5501101101 5721374000 7334801468 8582061000 9168501835 11002202202 14669602936 17164122000 18337003670 22004404404 27505505505 29339205872 36674007340 44008808808 45842509175 55011011010 73348014680 88017617616 91685018350 110022022020 137527527525 146696029360 183370036700 220044044040 229212545875 275055055050 366740073400 440088088080 458425091750 550110110100 687637637625 733480146800 916850183500 1100220220200 1375275275250 1833700367000 2200440440400 2750550550500 3667400734000 5501101101000 11002202202000