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10000100220220 = 22511412714090991
BaseRepresentation
bin1001000110000101010001…
…1010111101110100111100
31022102000000011210222010101
42101201110122331310330
52302320201124021340
633133552125050444
72051324543244445
oct221412432756474
938360004728111
1010000100220220
113206022965a50
1211561053b6a24
1357700bb48326
1426801657a2cc
151251d3b3cc9a
hex918546bdd3c

10000100220220 has 96 divisors (see below), whose sum is σ = 23554688274432. Its totient is φ = 3534615360000.

The previous prime is 10000100220101. The next prime is 10000100220221. The reversal of 10000100220220 is 2202200100001.

10000100220220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10000100220197 and 10000100220206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000100220221) 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, 398925 + ... + 4489915.

It is an arithmetic number, because the mean of its divisors is an integer number (245361336192).

Almost surely, 210000100220220 is an apocalyptic number.

10000100220220 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 10000100220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11777344137216).

10000100220220 is an abundant number, since it is smaller than the sum of its proper divisors (13554588054212).

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

10000100220220 is a wasteful number, since it uses less digits than its factorization.

10000100220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4091323 (or 4091321 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10000100220220 its reverse (2202200100001), we get a palindrome (12202300320221).

The spelling of 10000100220220 in words is "ten trillion, one hundred million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 271 410 451 542 820 902 1084 1355 1804 2255 2710 2981 4510 5420 5962 9020 11111 11924 14905 22222 29810 44444 55555 59620 111110 122221 222220 244442 488884 611105 1222210 2444420 4090991 8181982 16363964 20454955 40909910 45000901 81819820 90001802 167730631 180003604 225004505 335461262 450009010 670922524 838653155 900018020 1108658561 1677306310 1845036941 2217317122 3354612620 3690073882 4434634244 5543292805 7380147764 9225184705 11086585610 12195244171 18450369410 22173171220 24390488342 36900738820 45455001001 48780976684 60976220855 90910002002 121952441710 181820004004 227275005005 243904883420 454550010010 500005011011 909100020020 1000010022022 2000020044044 2500025055055 5000050110110 10000100220220