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11000222120100 = 22352347105669761
BaseRepresentation
bin1010000000010011000001…
…0101001111100010100100
31102221121111101121112210210
42200010300111033202210
52420211423330320400
635221233212215420
72213511521156643
oct240046025174244
942847441545723
1011000222120100
113561193680044
121297b0016a570
1361a416454775
142a05b0c7535a
1514121ae32950
hexa013054f8a4

11000222120100 has 72 divisors (see below), whose sum is σ = 31919030988768. Its totient is φ = 2924938956800.

The previous prime is 11000222120033. The next prime is 11000222120171. The reversal of 11000222120100 is 102122200011.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 52730781 + ... + 52938980.

It is an arithmetic number, because the mean of its divisors is an integer number (443319874844).

Almost surely, 211000222120100 is an apocalyptic number.

11000222120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000222120100 is an abundant number, since it is smaller than the sum of its proper divisors (20918808868668).

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

11000222120100 is a wasteful number, since it uses less digits than its factorization.

11000222120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105670125 (or 105670118 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11000222120100 its reverse (102122200011), we get a palindrome (11102344320111).

The spelling of 11000222120100 in words is "eleven trillion, two hundred twenty-two million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 347 694 1041 1388 1735 2082 3470 4164 5205 6940 8675 10410 17350 20820 26025 34700 52050 104100 105669761 211339522 317009283 422679044 528348805 634018566 1056697610 1268037132 1585046415 2113395220 2641744025 3170092830 5283488050 6340185660 7925232075 10566976100 15850464150 31700928300 36667407067 73334814134 110002221201 146669628268 183337035335 220004442402 366674070670 440008884804 550011106005 733348141340 916685176675 1100022212010 1833370353350 2200044424020 2750055530025 3666740706700 5500111060050 11000222120100