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11202002100200 = 2352593439721481
BaseRepresentation
bin1010001100000010101101…
…0110110001111111101000
31110122220022210020120222002
42203000223112301333220
52432013200014201300
635454043445350132
72234214024540212
oct243005326617750
943586283216862
1011202002100200
11362981917167a
12130b033a08348
136334624744b2
142aa2734db5b2
151465ca7a85d5
hexa302b5b1fe8

11202002100200 has 96 divisors (see below), whose sum is σ = 26095723081560. Its totient is φ = 4472019148800.

The previous prime is 11202002100169. The next prime is 11202002100209. The reversal of 11202002100200 is 200120020211.

It is a happy number.

11202002100200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 1819579770724 + 9382422329476 = 1348918^2 + 3063074^2 .

It is not an unprimeable number, because it can be changed into a prime (11202002100209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 521473460 + ... + 521494940.

Almost surely, 211202002100200 is an apocalyptic number.

11202002100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11202002100200 is an abundant number, since it is smaller than the sum of its proper divisors (14893720981360).

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

11202002100200 is a wasteful number, since it uses less digits than its factorization.

11202002100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26487 (or 26478 counting only the distinct ones).

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

Adding to 11202002100200 its reverse (200120020211), we get a palindrome (11402122120411).

The spelling of 11202002100200 in words is "eleven trillion, two hundred two billion, two million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 593 1186 2372 2965 4397 4744 5930 8794 11860 14825 17588 21481 21985 23720 29650 35176 42962 43970 59300 85924 87940 107405 109925 118600 171848 175880 214810 219850 429620 439700 537025 859240 879400 1074050 2148100 2607421 4296200 5214842 10429684 12738233 13037105 20859368 25476466 26074210 50952932 52148420 63691165 65185525 94451957 101905864 104296840 127382330 130371050 188903914 254764660 260742100 318455825 377807828 472259785 509529320 521484200 636911650 755615656 944519570 1273823300 1889039140 2361298925 2547646600 3778078280 4722597850 9445195700 18890391400 56010010501 112020021002 224040042004 280050052505 448080084008 560100105010 1120200210020 1400250262525 2240400420040 2800500525050 5601001050100 11202002100200