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10000022200100 = 2252197174129149
BaseRepresentation
bin1001000110000100111111…
…0001010101111100100100
31022101222210202000010122022
42101201033301111330210
52302320021140400400
633133540300522312
72051322605135522
oct221411761257444
938358722003568
1010000022200100
113205a92917309
1211560a3250398
13576cc892c18a
1426800a06b312
151251cbd7ab85
hex9184fc55f24

10000022200100 has 72 divisors (see below), whose sum is σ = 23163876792000. Its totient is φ = 3736109059200.

The previous prime is 10000022200079. The next prime is 10000022200159. The reversal of 10000022200100 is 100222000001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36929675 + ... + 37199474.

It is an arithmetic number, because the mean of its divisors is an integer number (321720511000).

Almost surely, 210000022200100 is an apocalyptic number.

10000022200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000022200100 is an abundant number, since it is smaller than the sum of its proper divisors (13163854591900).

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

10000022200100 is a wasteful number, since it uses less digits than its factorization.

10000022200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74129253 (or 74129246 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 10000022200100 its reverse (100222000001), we get a palindrome (10100244200101).

The spelling of 10000022200100 in words is "ten trillion, twenty-two million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 71 76 95 100 142 190 284 355 380 475 710 950 1349 1420 1775 1900 2698 3550 5396 6745 7100 13490 26980 33725 67450 134900 74129149 148258298 296516596 370645745 741291490 1408453831 1482582980 1853228725 2816907662 3706457450 5263169579 5633815324 7042269155 7412914900 10526339158 14084538310 21052678316 26315847895 28169076620 35211345775 52631695790 70422691550 100000222001 105263391580 131579239475 140845383100 200000444002 263158478950 400000888004 500001110005 526316957900 1000002220010 2000004440020 2500005550025 5000011100050 10000022200100