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103241401344 = 2103233472
BaseRepresentation
bin110000000100110101…
…0101100010000000000
3100212111001220120222100
41200021222230100000
53142414244320334
6115232313310400
710313263301124
oct1401152542000
9325431816870
10103241401344
113a86a096994
1218013405400
1399742158c3
144dd5745584
152a43ab4c99
hex1809aac400

103241401344 has 99 divisors (see below), whose sum is σ = 298196399527. Its totient is φ = 34403518464.

The previous prime is 103241401337. The next prime is 103241401379. The reversal of 103241401344 is 443104142301.

The square root of 103241401344 is 321312.

It is a perfect power (a square), and thus also a powerful number.

103241401344 is a `hidden beast` number, since 10 + 3 + 241 + 401 + 3 + 4 + 4 = 666.

103241401344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30844279 + ... + 30847625.

Almost surely, 2103241401344 is an apocalyptic number.

103241401344 is the 321312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103241401344

103241401344 is an abundant number, since it is smaller than the sum of its proper divisors (194954998183).

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

103241401344 is an frugal number, since it uses more digits than its factorization.

103241401344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6720 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 103241401344 its reverse (443104142301), we get a palindrome (546345543645).

The spelling of 103241401344 in words is "one hundred three billion, two hundred forty-one million, four hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 3347 4608 6694 9216 10041 13388 20082 26776 30123 40164 53552 60246 80328 107104 120492 160656 214208 240984 321312 428416 481968 642624 856832 963936 1285248 1713664 1927872 2570496 3427328 3855744 5140992 7711488 10281984 11202409 15422976 22404818 30845952 33607227 44809636 67214454 89619272 100821681 134428908 179238544 201643362 268857816 358477088 403286724 537715632 716954176 806573448 1075431264 1433908352 1613146896 2150862528 2867816704 3226293792 4301725056 5735633408 6452587584 8603450112 11471266816 12905175168 17206900224 25810350336 34413800448 51620700672 103241401344