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20022211101000 = 2335340116643567
BaseRepresentation
bin1001000110101110010001…
…10001111100000101001000
32121220002211022120100021010
410203113020301330011020
510111020442020213000
6110330024331043520
74134362025201243
oct443271061740510
977802738510233
1020022211101000
11641a410208a59
1222b4531ba05a0
13b23117aa8a54
144d311a07025a
1524ac54cb2d50
hex1235c8c7c148

20022211101000 has 128 divisors (see below), whose sum is σ = 62625086184960. Its totient is φ = 5325941120000.

The previous prime is 20022211100993. The next prime is 20022211101037. The reversal of 20022211101000 is 10111222002.

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7118784 + ... + 9524783.

It is an arithmetic number, because the mean of its divisors is an integer number (489258485820).

Almost surely, 220022211101000 is an apocalyptic number.

20022211101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20022211101000 is an abundant number, since it is smaller than the sum of its proper divisors (42602875083960).

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

20022211101000 is a wasteful number, since it uses less digits than its factorization.

20022211101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16643992 (or 16643978 counting only the distinct ones).

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

Adding to 20022211101000 its reverse (10111222002), we get a palindrome (20032322323002).

The spelling of 20022211101000 in words is "twenty trillion, twenty-two billion, two hundred eleven million, one hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 401 500 600 750 802 1000 1203 1500 1604 2005 2406 3000 3208 4010 4812 6015 8020 9624 10025 12030 16040 20050 24060 30075 40100 48120 50125 60150 80200 100250 120300 150375 200500 240600 300750 401000 601500 1203000 16643567 33287134 49930701 66574268 83217835 99861402 133148536 166435670 199722804 249653505 332871340 399445608 416089175 499307010 665742680 832178350 998614020 1248267525 1664356700 1997228040 2080445875 2496535050 3328713400 4160891750 4993070100 6241337625 6674070367 8321783500 9986140200 12482675250 13348140734 16643567000 20022211101 24965350500 26696281468 33370351835 40044422202 49930701000 53392562936 66740703670 80088844404 100111055505 133481407340 160177688808 166851759175 200222111010 266962814680 333703518350 400444222020 500555277525 667407036700 800888444040 834258795875 1001110555050 1334814073400 1668517591750 2002221110100 2502776387625 3337035183500 4004442220200 5005552775250 6674070367000 10011105550500 20022211101000