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11022103220100 = 2235275399030577
BaseRepresentation
bin1010000001100100100010…
…0011000000111110000100
31110000200222022202121010220
42200121020203000332010
52421041231411020400
635235252340144340
72215214664355260
oct240311043007604
943020868677126
1011022103220100
11356a4a1a16365
1212a01a80980b0
1361c4c277640b
142a1688d050a0
15141a9bdc67a0
hexa06488c0f84

11022103220100 has 144 divisors (see below), whose sum is σ = 37134090016128. Its totient is φ = 2471803176960.

The previous prime is 11022103220071. The next prime is 11022103220119. The reversal of 11022103220100 is 102230122011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11022103220100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49403989 + ... + 49626588.

It is an arithmetic number, because the mean of its divisors is an integer number (257875625112).

Almost surely, 211022103220100 is an apocalyptic number.

11022103220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11022103220100 is an abundant number, since it is smaller than the sum of its proper divisors (26111986796028).

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

11022103220100 is a wasteful number, since it uses less digits than its factorization.

11022103220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99030654 (or 99030647 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11022103220100 its reverse (102230122011), we get a palindrome (11124333342111).

The spelling of 11022103220100 in words is "eleven trillion, twenty-two billion, one hundred three million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 53 60 70 75 84 100 105 106 140 150 159 175 210 212 265 300 318 350 371 420 525 530 636 700 742 795 1050 1060 1113 1325 1484 1590 1855 2100 2226 2650 3180 3710 3975 4452 5300 5565 7420 7950 9275 11130 15900 18550 22260 27825 37100 55650 111300 99030577 198061154 297091731 396122308 495152885 594183462 693214039 990305770 1188366924 1386428078 1485458655 1980611540 2079642117 2475764425 2772856156 2970917310 3466070195 4159284234 4951528850 5248620581 5941834620 6932140390 7427293275 8318568468 9903057700 10398210585 10497241162 13864280780 14854586550 15745861743 17330350975 20796421170 20994482324 26243102905 29709173100 31491723486 34660701950 36740344067 41592842340 51991052925 52486205810 62983446972 69321403900 73480688134 78729308715 103982105850 104972411620 110221032201 131215514525 146961376268 157458617430 183701720335 207964211700 220442064402 262431029050 314917234860 367403440670 393646543575 440884128804 524862058100 551105161005 734806881340 787293087150 918508601675 1102210322010 1574586174300 1837017203350 2204420644020 2755525805025 3674034406700 5511051610050 11022103220100