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10222021000100 = 22527133191352021
BaseRepresentation
bin1001010010111111111111…
…1011100011101110100100
31100012012211012220122112002
42110233333323203232210
52314434144334000400
633423533121344432
72103342131612630
oct224577773435644
940165735818462
1010222021000100
113291153404558
12119111a198118
13591c17770070
14274a69a99dc0
1512ad71792ed5
hex94bffee3ba4

10222021000100 has 144 divisors (see below), whose sum is σ = 27309292260096. Its totient is φ = 3234078144000.

The previous prime is 10222021000063. The next prime is 10222021000159. The reversal of 10222021000100 is 100012022201.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28862090 + ... + 29214110.

Almost surely, 210222021000100 is an apocalyptic number.

10222021000100 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 10222021000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13654646130048).

10222021000100 is an abundant number, since it is smaller than the sum of its proper divisors (17087271259996).

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

10222021000100 is a wasteful number, since it uses less digits than its factorization.

10222021000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355246 (or 355239 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10222021000100 its reverse (100012022201), we get a palindrome (10322033022301).

The spelling of 10222021000100 in words is "ten trillion, two hundred twenty-two billion, twenty-one million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 3191 4550 6382 9100 12764 15955 22337 31910 41483 44674 63820 79775 82966 89348 111685 159550 165932 207415 223370 290381 319100 352021 414830 446740 558425 580762 704042 829660 1037075 1116850 1161524 1408084 1451905 1760105 2074150 2233700 2464147 2903810 3520210 4148300 4576273 4928294 5807620 7040420 7259525 8800525 9152546 9856588 12320735 14519050 17601050 18305092 22881365 24641470 29038100 32033911 35202100 45762730 49282940 61603675 64067822 91525460 114406825 123207350 128135644 160169555 228813650 246414700 320339110 457627300 640678220 800847775 1123299011 1601695550 2246598022 3203391100 4493196044 5616495055 7863093077 11232990110 14602887143 15726186154 22465980220 28082475275 29205774286 31452372308 39315465385 56164950550 58411548572 73014435715 78630930770 102220210001 112329901100 146028871430 157261861540 196577326925 204440420002 292057742860 365072178575 393154653850 408880840004 511101050005 730144357150 786309307700 1022202100010 1460288714300 2044404200020 2555505250025 5111010500050 10222021000100