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10021001102200 = 2352115039055667
BaseRepresentation
bin1001000111010011001000…
…1101100000001101111000
31022110222221210111210010101
42101310302031200031320
52303141002240232300
633151330115325144
72052664514642434
oct221646215401570
938428853453111
1010021001102200
113213978969a30
12115a178bb07b4
13578c90067c0a
1426903a36b9c4
15125a08a0bb6a
hex91d32360378

10021001102200 has 96 divisors (see below), whose sum is σ = 25467436229760. Its totient is φ = 3636755465600.

The previous prime is 10021001102197. The next prime is 10021001102219. The reversal of 10021001102200 is 220110012001.

It is a super-2 number, since 2×100210011022002 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3421234 + ... + 5634433.

It is an arithmetic number, because the mean of its divisors is an integer number (265285794060).

Almost surely, 210021001102200 is an apocalyptic number.

10021001102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021001102200 is an abundant number, since it is smaller than the sum of its proper divisors (15446435127560).

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

10021001102200 is a wasteful number, since it uses less digits than its factorization.

10021001102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9056197 (or 9056188 counting only the distinct ones).

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

Adding to 10021001102200 its reverse (220110012001), we get a palindrome (10241111114201).

The spelling of 10021001102200 in words is "ten trillion, twenty-one billion, one million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 503 550 1006 1100 2012 2200 2515 4024 5030 5533 10060 11066 12575 20120 22132 25150 27665 44264 50300 55330 100600 110660 138325 221320 276650 553300 1106600 9055667 18111334 36222668 45278335 72445336 90556670 99612337 181113340 199224674 226391675 362226680 398449348 452783350 498061685 796898696 905566700 996123370 1811133400 1992246740 2490308425 3984493480 4555000501 4980616850 9110001002 9961233700 18220002004 19922467400 22775002505 36440004008 45550005010 50105005511 91100010020 100210011022 113875012525 182200020040 200420022044 227750025050 250525027555 400840044088 455500050100 501050055110 911000100200 1002100110220 1252625137775 2004200220440 2505250275550 5010500551100 10021001102200