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22103030300020 = 22531347421244033
BaseRepresentation
bin1010000011010010000110…
…10001001111110101110100
32220021000210011222220000121
411001221003101033311310
510344114001224100040
6115001554132021324
74440614460436255
oct501510321176564
986230704886017
1022103030300020
11705192a41a1aa
12258b870161844
13c443cb0ba777
14565b143c0b2c
15284e3d129c4a
hex141a4344fd74

22103030300020 has 96 divisors (see below), whose sum is σ = 48166079947776. Its totient is φ = 8511055257600.

The previous prime is 22103030299981. The next prime is 22103030300033. The reversal of 22103030300020 is 2000303030122.

It is a super-2 number, since 2×221030303000202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22103030299967 and 22103030300003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90451924 + ... + 90695956.

It is an arithmetic number, because the mean of its divisors is an integer number (501729999456).

Almost surely, 222103030300020 is an apocalyptic number.

22103030300020 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 22103030300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24083039973888).

22103030300020 is an abundant number, since it is smaller than the sum of its proper divisors (26063049647756).

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

22103030300020 is a wasteful number, since it uses less digits than its factorization.

22103030300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244841 (or 244839 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 22103030300020 its reverse (2000303030122), we get a palindrome (24103333330142).

The spelling of 22103030300020 in words is "twenty-two trillion, one hundred three billion, thirty million, three hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 347 421 620 694 842 1388 1684 1735 2105 3470 4210 6940 8420 10757 13051 21514 26102 43028 52204 53785 65255 107570 130510 146087 215140 244033 261020 292174 488066 584348 730435 976132 1220165 1460870 2440330 2921740 4528697 4880660 7565023 9057394 15130046 18114788 22643485 30260092 37825115 45286970 75650230 84679451 90573940 102737893 151300460 169358902 205475786 338717804 410951572 423397255 513689465 846794510 1027378930 1693589020 2054757860 2625062981 3184874683 5250125962 6369749366 10500251924 12739498732 13125314905 15924373415 26250629810 31848746830 35650048871 52501259620 63697493660 71300097742 142600195484 178250244355 356500488710 713000977420 1105151515001 2210303030002 4420606060004 5525757575005 11051515150010 22103030300020