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11112200222200 = 235271117222910903
BaseRepresentation
bin1010000110110100001010…
…1111110011010111111000
31110100022112100011112010121
42201231002233303113320
52424030241224102300
635344512503423024
72224554452266630
oct241550257632770
943308470145117
1011112200222200
1135a4726370580
1212b5751454a74
13627b506cc78c
142a5b94a536c0
151440c1a1481a
hexa1b42bf35f8

11112200222200 has 576 divisors, whose sum is σ = 34369739481600. Its totient is φ = 3245272473600.

The previous prime is 11112200222171. The next prime is 11112200222239. The reversal of 11112200222200 is 222200221111.

It is a happy number.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1019181949 + ... + 1019192851.

It is an arithmetic number, because the mean of its divisors is an integer number (59669686600).

Almost surely, 211112200222200 is an apocalyptic number.

11112200222200 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 11112200222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17184869740800).

11112200222200 is an abundant number, since it is smaller than the sum of its proper divisors (23257539259400).

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

11112200222200 is a wasteful number, since it uses less digits than its factorization.

11112200222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11200 (or 11174 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11112200222200 its reverse (222200221111), we get a palindrome (11334400443311).

The spelling of 11112200222200 in words is "eleven trillion, one hundred twelve billion, two hundred million, two hundred twenty-two thousand, two hundred".