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22110021002000 = 245323347446397
BaseRepresentation
bin1010000011011111000111…
…11100101010001100010000
32220021200211101020100022202
411001233203330222030100
510344222310334031000
6115005111535022332
74441252634431511
oct501574374521420
986250741210282
1022110021002000
1170548974a3058
1225910a136a9a8
13c44c734b9509
145661b89daa08
152851ebc08dd5
hex141be3f2a310

22110021002000 has 80 divisors (see below), whose sum is σ = 53691482690352. Its totient is φ = 8806051097600.

The previous prime is 22110021001969. The next prime is 22110021002039. The reversal of 22110021002000 is 20012001122.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8664686765056 + 13445334236944 = 2943584^2 + 3666788^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23257199 + ... + 24189198.

Almost surely, 222110021002000 is an apocalyptic number.

22110021002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22110021002000 is an abundant number, since it is smaller than the sum of its proper divisors (31581461688352).

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

22110021002000 is a wasteful number, since it uses less digits than its factorization.

22110021002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47446653 (or 47446637 counting only the distinct ones).

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

Adding to 22110021002000 its reverse (20012001122), we get a palindrome (22130033003122).

The spelling of 22110021002000 in words is "twenty-two trillion, one hundred ten billion, twenty-one million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 233 250 400 466 500 932 1000 1165 1864 2000 2330 3728 4660 5825 9320 11650 18640 23300 29125 46600 58250 93200 116500 233000 466000 47446397 94892794 189785588 237231985 379571176 474463970 759142352 948927940 1186159925 1897855880 2372319850 3795711760 4744639700 5930799625 9489279400 11055010501 11861599250 18978558800 22110021002 23723198500 44220042004 47446397000 55275052505 88440084008 94892794000 110550105010 176880168016 221100210020 276375262525 442200420040 552750525050 884400840080 1105501050100 1381876312625 2211002100200 2763752625250 4422004200400 5527505250500 11055010501000 22110021002000