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10222100200020 = 22351093674258889
BaseRepresentation
bin1001010011000000010010…
…1001101011101001010100
31100012020000201221102101110
42110300010221223221110
52314434330122400040
633423545031055020
72103344113034322
oct224600451535124
940166021842343
1010222100200020
113291194089635
121191140811470
13591c2acb0217
14274a763d4d12
1512ad786d9980
hex94c04a6ba54

10222100200020 has 96 divisors (see below), whose sum is σ = 28963177689600. Its totient is φ = 2693525197824.

The previous prime is 10222100200019. The next prime is 10222100200027. The reversal of 10222100200020 is 2000200122201.

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

It is a junction number, because it is equal to n+sod(n) for n = 10222100199969 and 10222100200005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222100200027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270736 + ... + 4529624.

It is an arithmetic number, because the mean of its divisors is an integer number (301699767600).

Almost surely, 210222100200020 is an apocalyptic number.

10222100200020 is a gapful number since it is divisible by the number (10) 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 10222100200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14481588844800).

10222100200020 is an abundant number, since it is smaller than the sum of its proper divisors (18741077489580).

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

10222100200020 is a wasteful number, since it uses less digits than its factorization.

10222100200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4259377 (or 4259375 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10222100200020 its reverse (2000200122201), we get a palindrome (12222300322221).

It can be divided in two parts, 102 and 22100200020, that added together give a palindrome (22100200122).

The spelling of 10222100200020 in words is "ten trillion, two hundred twenty-two billion, one hundred million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 218 327 367 436 545 654 734 1090 1101 1308 1468 1635 1835 2180 2202 3270 3670 4404 5505 6540 7340 11010 22020 40003 80006 120009 160012 200015 240018 400030 480036 600045 800060 1200090 2400180 4258889 8517778 12776667 17035556 21294445 25553334 42588890 51106668 63883335 85177780 127766670 255533340 464218901 928437802 1392656703 1563012263 1856875604 2321094505 2785313406 3126024526 4642189010 4689036789 5570626812 6252049052 6963283515 7815061315 9284378020 9378073578 13926567030 15630122630 18756147156 23445183945 27853134060 31260245260 46890367890 93780735780 170368336667 340736673334 511105010001 681473346668 851841683335 1022210020002 1703683366670 2044420040004 2555525050005 3407366733340 5111050100010 10222100200020