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10001222110000 = 24541190920201
BaseRepresentation
bin1001000110001001011101…
…0010101000101100110000
31022102002220100211212120201
42101202113102220230300
52302330000330010000
633134255323044544
72051364415200232
oct221422722505460
938362810755521
1010001222110000
113206549171390
121156379070754
1357715a3c1634
142680c1576252
1512524c39996a
hex918974a8b30

10001222110000 has 100 divisors (see below), whose sum is σ = 26415228127464. Its totient is φ = 3636808000000.

The previous prime is 10001222109979. The next prime is 10001222110003. The reversal of 10001222110000 is 1122210001.

It is a tau number, because it is divible by the number of its divisors (100).

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

It is not an unprimeable number, because it can be changed into a prime (10001222110003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45350101 + ... + 45570100.

Almost surely, 210001222110000 is an apocalyptic number.

10001222110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001222110000 is an abundant number, since it is smaller than the sum of its proper divisors (16414006017464).

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

10001222110000 is an equidigital number, since it uses as much as digits as its factorization.

10001222110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90920240 (or 90920219 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10001222110000 its reverse (1122210001), we get a palindrome (10002344320001).

The spelling of 10001222110000 in words is "ten trillion, one billion, two hundred twenty-two million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 90920201 181840402 363680804 454601005 727361608 909202010 1000122211 1454723216 1818404020 2000244422 2273005025 3636808040 4000488844 4546010050 5000611055 7273616080 8000977688 9092020100 10001222110 11365025125 16001955376 18184040200 20002444220 22730050250 25003055275 36368080400 40004888440 45460100500 50006110550 56825125625 80009776880 90920201000 100012221100 113650251250 125015276375 181840402000 200024442200 227300502500 250030552750 400048884400 454601005000 500061105500 625076381875 909202010000 1000122211000 1250152763750 2000244422000 2500305527500 5000611055000 10001222110000