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11020122002000 = 245352611047341
BaseRepresentation
bin1010000001011101001001…
…1101010001001001010000
31110000111212020202021211202
42200113102131101021100
52421023202213031000
635234324003530332
72215114616320226
oct240272235211120
943014766667752
1011020122002000
113569675637931
12129b9346899a8
1361c268176c07
142a153bb38b16
151419d2ec3dd5
hexa05d2751250

11020122002000 has 80 divisors (see below), whose sum is σ = 26651745388944. Its totient is φ = 4407206720000.

The previous prime is 11020122001981. The next prime is 11020122002041. The reversal of 11020122002000 is 20022102011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 258100577296 + 10762021424704 = 508036^2 + 3280552^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9998330 + ... + 11045670.

Almost surely, 211020122002000 is an apocalyptic number.

11020122002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11020122002000 is an abundant number, since it is smaller than the sum of its proper divisors (15631623386944).

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

11020122002000 is a wasteful number, since it uses less digits than its factorization.

11020122002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052625 (or 1052609 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 11020122002000 its reverse (20022102011), we get a palindrome (11040144104011).

The spelling of 11020122002000 in words is "eleven trillion, twenty billion, one hundred twenty-two million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 5261 10522 21044 26305 42088 52610 84176 105220 131525 210440 263050 420880 526100 657625 1047341 1052200 1315250 2094682 2104400 2630500 4189364 5236705 5261000 8378728 10473410 10522000 16757456 20946820 26183525 41893640 52367050 83787280 104734100 130917625 209468200 261835250 418936400 523670500 1047341000 2094682000 5510061001 11020122002 22040244004 27550305005 44080488008 55100610010 88160976016 110201220020 137751525025 220402440040 275503050050 440804880080 551006100100 688757625125 1102012200200 1377515250250 2204024400400 2755030500500 5510061001000 11020122002000