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11001211011100 = 22527313711000111
BaseRepresentation
bin1010000000010110101101…
…0001100100000000011100
31102221201001022101102020101
42200011223101210000130
52420220440004323400
635221515255430444
72213545156462042
oct240055321440034
942851038342211
1011001211011100
1135616508a6532
121298137385424
1361a5432a237b
142a0666330392
15141277b6c56a
hexa016b46401c

11001211011100 has 72 divisors (see below), whose sum is σ = 24376292192448. Its totient is φ = 4308523084800.

The previous prime is 11001211011071. The next prime is 11001211011107. The reversal of 11001211011100 is 111011210011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001211011107) 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, 4499956 + ... + 6500155.

It is an arithmetic number, because the mean of its divisors is an integer number (338559613784).

Almost surely, 211001211011100 is an apocalyptic number.

11001211011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001211011100 is an abundant number, since it is smaller than the sum of its proper divisors (13375081181348).

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

11001211011100 is a wasteful number, since it uses less digits than its factorization.

11001211011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11000335 (or 11000328 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 11001211011100 its reverse (111011210011), we get a palindrome (11112222221111).

The spelling of 11001211011100 in words is "eleven trillion, one billion, two hundred eleven million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 137 146 274 292 365 548 685 730 1370 1460 1825 2740 3425 3650 6850 7300 10001 13700 20002 40004 50005 100010 200020 250025 500050 1000100 11000111 22000222 44000444 55000555 110001110 220002220 275002775 550005550 803008103 1100011100 1507015207 1606016206 3014030414 3212032412 4015040515 6028060828 7535076035 8030081030 15070152070 16060162060 20075202575 30140304140 37675380175 40150405150 75350760350 80300810300 110012110111 150701520700 220024220222 440048440444 550060550555 1100121101110 2200242202220 2750302752775 5500605505550 11001211011100