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221300103321120 = 2535461041881919
BaseRepresentation
bin110010010100010101110010…
…000011000001011000100000
31002000120002020200212021101110
4302110111302003001120200
5213001240102422233440
62102355510341503320
764420255601254635
oct6224256203013040
91060502220767343
10221300103321120
116457093505222a
12209a1538a11b40
139663682ba43b5
143c90da704418c
151a8b7cbe59080
hexc945720c1620

221300103321120 has 48 divisors (see below), whose sum is σ = 697095325463040. Its totient is φ = 59013360885504.

The previous prime is 221300103321097. The next prime is 221300103321139. The reversal of 221300103321120 is 21123301003122.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 230520940480 + ... + 230520941439.

It is an arithmetic number, because the mean of its divisors is an integer number (14522819280480).

Almost surely, 2221300103321120 is an apocalyptic number.

221300103321120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221300103321120 is an abundant number, since it is smaller than the sum of its proper divisors (475795222141920).

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

221300103321120 is a wasteful number, since it uses less digits than its factorization.

221300103321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461041881937 (or 461041881929 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 221300103321120 its reverse (21123301003122), we get a palindrome (242423404324242).

The spelling of 221300103321120 in words is "two hundred twenty-one trillion, three hundred billion, one hundred three million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 461041881919 922083763838 1383125645757 1844167527676 2305209409595 2766251291514 3688335055352 4610418819190 5532502583028 6915628228785 7376670110704 9220837638380 11065005166056 13831256457570 14753340221408 18441675276760 22130010332112 27662512915140 36883350553520 44260020664224 55325025830280 73766701107040 110650051660560 221300103321120