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11020122000200 = 2352174049800497
BaseRepresentation
bin1010000001011101001001…
…1101010000101101001000
31110000111212020202012101002
42200113102131100231020
52421023202213001300
635234324003514132
72215114616312045
oct240272235205510
943014766665332
1011020122000200
113569675636545
12129b934688948
1361c268176151
142a153bb381cc
151419d2ec35d5
hexa05d2750b48

11020122000200 has 96 divisors (see below), whose sum is σ = 27135681453000. Its totient is φ = 4147721994240.

The previous prime is 11020122000161. The next prime is 11020122000233. The reversal of 11020122000200 is 200022102011.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 2365499368324 + 8654622631876 = 1538018^2 + 2941874^2 .

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, 13366352 + ... + 14166848.

Almost surely, 211020122000200 is an apocalyptic number.

11020122000200 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 11020122000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13567840726500).

11020122000200 is an abundant number, since it is smaller than the sum of its proper divisors (16115559452800).

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

11020122000200 is a wasteful number, since it uses less digits than its factorization.

11020122000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804579 (or 804570 counting only the distinct ones).

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

Adding to 11020122000200 its reverse (200022102011), we get a palindrome (11220144102211).

The spelling of 11020122000200 in words is "eleven trillion, twenty billion, one hundred twenty-two million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 4049 8098 16196 20245 32392 40490 68833 80980 101225 137666 161960 202450 275332 344165 404900 550664 688330 800497 809800 1376660 1600994 1720825 2753320 3201988 3441650 4002485 6403976 6883300 8004970 13608449 13766600 16009940 20012425 27216898 32019880 40024850 54433796 68042245 80049700 108867592 136084490 160099400 272168980 340211225 544337960 680422450 1360844900 2721689800 3241212353 6482424706 12964849412 16206061765 25929698824 32412123530 55100610001 64824247060 81030308825 110201220002 129648494120 162060617650 220402440004 275503050005 324121235300 440804880008 551006100010 648242470600 1102012200020 1377515250025 2204024400040 2755030500050 5510061000100 11020122000200