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11022111112000 = 26531937138673
BaseRepresentation
bin1010000001100100100100…
…0001000111101101000000
31110000200222212121112210111
42200121021001013231000
52421041240421041000
635235253221241104
72215215121424602
oct240311101075500
943020885545714
1011022111112000
11356a4a641669a
1212a01aa863194
1361c4c42aa591
142a1689d9b172
15141a9c934cba
hexa0649047b40

11022111112000 has 112 divisors (see below), whose sum is σ = 27437693401872. Its totient is φ = 4386000076800.

The previous prime is 11022111111887. The next prime is 11022111112007. The reversal of 11022111112000 is 21111122011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1685468641536 + 9336642470464 = 1298256^2 + 3055592^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11022111112007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2025337 + ... + 5113336.

Almost surely, 211022111112000 is an apocalyptic number.

11022111112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11022111112000 is an abundant number, since it is smaller than the sum of its proper divisors (16415582289872).

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

11022111112000 is an equidigital number, since it uses as much as digits as its factorization.

11022111112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7138893 (or 7138873 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11022111112000 its reverse (21111122011), we get a palindrome (11043222234011).

The spelling of 11022111112000 in words is "eleven trillion, twenty-two billion, one hundred eleven million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 193 200 250 320 386 400 500 772 800 965 1000 1544 1600 1930 2000 3088 3860 4000 4825 6176 7720 8000 9650 12352 15440 19300 24125 30880 38600 48250 61760 77200 96500 154400 193000 308800 386000 772000 1544000 7138673 14277346 28554692 35693365 57109384 71386730 114218768 142773460 178466825 228437536 285546920 356933650 456875072 571093840 713867300 892334125 1142187680 1377763889 1427734600 1784668250 2284375360 2755527778 2855469200 3569336500 5511055556 5710938400 6888819445 7138673000 11022111112 11421876800 13777638890 14277346000 22044222224 27555277780 28554692000 34444097225 44088444448 55110555560 57109384000 68888194450 88176888896 110221111120 137776388900 172220486125 220442222240 275552777800 344440972250 440884444480 551105555600 688881944500 1102211111200 1377763889000 2204422222400 2755527778000 5511055556000 11022111112000