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2213321231000 = 23531131662901
BaseRepresentation
bin100000001101010100001…
…110011100101010011000
321211120222011101012000102
4200031110032130222120
5242230340213343000
64412441415154532
7315623110023155
oct40152416345230
97746864335012
102213321231000
11783734152000
122b8b58975a48
1313093b677849
14791a7c3922c
153c890ba83d5
hex2035439ca98

2213321231000 has 128 divisors (see below), whose sum is σ = 5696703155520. Its totient is φ = 804843600000.

The previous prime is 2213321230969. The next prime is 2213321231039. The reversal of 2213321231000 is 1321233122.

It is a super-2 number, since 2×22133212310002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 499550 + ... + 2162450.

Almost surely, 22213321231000 is an apocalyptic number.

2213321231000 is a gapful number since it is divisible by the number (20) 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 2213321231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848351577760).

2213321231000 is an abundant number, since it is smaller than the sum of its proper divisors (3483381924520).

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

2213321231000 is a wasteful number, since it uses less digits than its factorization.

2213321231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662955 (or 1662919 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2213321231000 its reverse (1321233122), we get a palindrome (2214642464122).

The spelling of 2213321231000 in words is "two trillion, two hundred thirteen billion, three hundred twenty-one million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 125 200 220 242 250 275 440 484 500 550 605 968 1000 1100 1210 1331 1375 2200 2420 2662 2750 3025 4840 5324 5500 6050 6655 10648 11000 12100 13310 15125 24200 26620 30250 33275 53240 60500 66550 121000 133100 166375 266200 332750 665500 1331000 1662901 3325802 6651604 8314505 13303208 16629010 18291911 33258020 36583822 41572525 66516040 73167644 83145050 91459555 146335288 166290100 182919110 201211021 207862625 332580200 365838220 402422042 415725250 457297775 731676440 804844084 831450500 914595550 1006055105 1609688168 1662901000 1829191100 2012110210 2213321231 2286488875 3658382200 4024220420 4426642462 4572977750 5030275525 8048440840 8853284924 9145955500 10060551050 11066606155 17706569848 18291911000 20121102100 22133212310 25151377625 40242204200 44266424620 50302755250 55333030775 88532849240 100605510500 110666061550 201211021000 221332123100 276665153875 442664246200 553330307750 1106660615500 2213321231000