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20022110220300 = 223526171013106781
BaseRepresentation
bin1001000110101110000101…
…10001000111000000001100
32121220002120021202001221220
410203113002301013000030
510111020240204022200
6110330010324523340
74134356361550356
oct443270261070014
977802507661856
1020022110220300
11641a369275881
1222b4504250550
13b230ccc17426
144d310a8d00d6
1524ac4aed74a0
hex1235c2c4700c

20022110220300 has 144 divisors (see below), whose sum is σ = 58082353553952. Its totient is φ = 5325263820800.

The previous prime is 20022110220289. The next prime is 20022110220367. The reversal of 20022110220300 is 302201122002.

It is a happy number.

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 20022110220300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187452910 + ... + 187559690.

It is an arithmetic number, because the mean of its divisors is an integer number (403349677458).

Almost surely, 220022110220300 is an apocalyptic number.

20022110220300 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 20022110220300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29041176776976).

20022110220300 is an abundant number, since it is smaller than the sum of its proper divisors (38060243333652).

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

20022110220300 is a wasteful number, since it uses less digits than its factorization.

20022110220300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108428 (or 108421 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20022110220300 its reverse (302201122002), we get a palindrome (20324311342302).

The spelling of 20022110220300 in words is "twenty trillion, twenty-two billion, one hundred ten million, two hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 617 1013 1234 1851 2026 2468 3039 3085 3702 4052 5065 6078 6170 7404 9255 10130 12156 12340 15195 15425 18510 20260 25325 30390 30850 37020 46275 50650 60780 61700 75975 92550 101300 106781 151950 185100 213562 303900 320343 427124 533905 625021 640686 1067810 1250042 1281372 1601715 1875063 2135620 2500084 2669525 3125105 3203430 3750126 5339050 6250210 6406860 7500252 8008575 9375315 10678100 12500420 15625525 16017150 18750630 31251050 32034300 37501260 46876575 62502100 65883877 93753150 108169153 131767754 187506300 197651631 216338306 263535508 324507459 329419385 395303262 432676612 540845765 649014918 658838770 790606524 988258155 1081691530 1298029836 1317677540 1622537295 1647096925 1976516310 2163383060 2704228825 3245074590 3294193850 3953032620 4941290775 5408457650 6490149180 6588387700 8112686475 9882581550 10816915300 16225372950 19765163100 32450745900 66740367401 133480734802 200221102203 266961469604 333701837005 400442204406 667403674010 800884408812 1001105511015 1334807348020 1668509185025 2002211022030 3337018370050 4004422044060 5005527555075 6674036740100 10011055110150 20022110220300