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20022300101100 = 223521130411995187
BaseRepresentation
bin1001000110101110011100…
…00101011100100111101100
32121220010001112001000110010
410203113032011130213230
510111021132311213400
6110330041230413220
74134364155530613
oct443271605344754
977803045030403
1020022300101100
11641a456477060
1222b4557961210
13b2313036a82b
144d3127bda87a
1524ac5c9e3450
hex1235ce15c9ec

20022300101100 has 144 divisors (see below), whose sum is σ = 63218473508736. Its totient is φ = 4852292352000.

The previous prime is 20022300101077. The next prime is 20022300101143. The reversal of 20022300101100 is 110100322002.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9037707 + ... + 11032893.

It is an arithmetic number, because the mean of its divisors is an integer number (439017177144).

Almost surely, 220022300101100 is an apocalyptic number.

20022300101100 is a gapful number since it is divisible by the number (20) 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 20022300101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31609236754368).

20022300101100 is an abundant number, since it is smaller than the sum of its proper divisors (43196173407636).

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

20022300101100 is a wasteful number, since it uses less digits than its factorization.

20022300101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998256 (or 1998249 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20022300101100 its reverse (110100322002), we get a palindrome (20132400423102).

The spelling of 20022300101100 in words is "twenty trillion, twenty-two billion, three hundred million, one hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3041 3300 6082 9123 12164 15205 18246 30410 33451 36492 45615 60820 66902 76025 91230 100353 133804 152050 167255 182460 200706 228075 304100 334510 401412 456150 501765 669020 836275 912300 1003530 1672550 1995187 2007060 2508825 3345100 3990374 5017650 5985561 7980748 9975935 10035300 11971122 19951870 21947057 23942244 29927805 39903740 43894114 49879675 59855610 65841171 87788228 99759350 109735285 119711220 131682342 149639025 199518700 219470570 263364684 299278050 329205855 438941140 548676425 598556100 658411710 1097352850 1316823420 1646029275 2194705700 3292058550 6067363667 6584117100 12134727334 18202091001 24269454668 30336818335 36404182002 60673636670 66741000337 72808364004 91010455005 121347273340 133482000674 151684091675 182020910010 200223001011 266964001348 303368183350 333705001685 364041820020 400446002022 455052275025 606736366700 667410003370 800892004044 910104550050 1001115005055 1334820006740 1668525008425 1820209100100 2002230010110 3337050016850 4004460020220 5005575025275 6674100033700 10011150050550 20022300101100