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221031003000 = 23353161345677
BaseRepresentation
bin1100110111011001111…
…0010111001101111000
3210010112000211022222110
43031312132113031320
512110132414044000
6245312405252320
721653232345363
oct3156636271570
9703460738873
10221031003000
118581426a015
1236a06a040a0
1317ac649a652
14a9ab2a50da
155b39997850
hex3376797378

221031003000 has 128 divisors (see below), whose sum is σ = 690059373120. Its totient is φ = 58903769600.

The previous prime is 221031002953. The next prime is 221031003013. The reversal of 221031003000 is 300130122.

It is a happy number.

221031003000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4816162 + ... + 4861838.

Almost surely, 2221031003000 is an apocalyptic number.

221031003000 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 221031003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345029686560).

221031003000 is an abundant number, since it is smaller than the sum of its proper divisors (469028370120).

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

221031003000 is a wasteful number, since it uses less digits than its factorization.

221031003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47314 (or 47300 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 221031003000 its reverse (300130122), we get a palindrome (221331133122).

The spelling of 221031003000 in words is "two hundred twenty-one billion, thirty-one million, three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 1613 3000 3226 4839 6452 8065 9678 12904 16130 19356 24195 32260 38712 40325 45677 48390 64520 80650 91354 96780 120975 137031 161300 182708 193560 201625 228385 241950 274062 322600 365416 403250 456770 483900 548124 604875 685155 806500 913540 967800 1096248 1141925 1209750 1370310 1613000 1827080 2283850 2419500 2740620 3425775 4567700 4839000 5481240 5709625 6851550 9135400 11419250 13703100 17128875 22838500 27406200 34257750 45677000 68515500 73677001 137031000 147354002 221031003 294708004 368385005 442062006 589416008 736770010 884124012 1105155015 1473540020 1768248024 1841925025 2210310030 2947080040 3683850050 4420620060 5525775075 7367700100 8841240120 9209625125 11051550150 14735400200 18419250250 22103100300 27628875375 36838500500 44206200600 55257750750 73677001000 110515501500 221031003000