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530413603104100 = 2252972237432
BaseRepresentation
bin111100010011010001000101…
…0011001011010010101100100
32120120001001012222111001122211
41320212202022121122111210
51024010244024343312400
65120032351222533204
7216503055356050552
oct17046421231322544
92516031188431584
10530413603104100
11144008167109711
124b5a5862597204
13199c6a327576a1
1494da226488bd2
15414c41d454dba
hex1e2688a65a564

530413603104100 has 81 divisors (see below), whose sum is σ = 1163034786281067. Its totient is φ = 209969324858880.

The previous prime is 530413603104097. The next prime is 530413603104139. The reversal of 530413603104100 is 1401306314035.

The square root of 530413603104100 is 23030710.

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

It can be written as a sum of positive squares in 4 ways, for example, as 19502804775204 + 510910798328896 = 4416198^2 + 22603336^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22339776829 + ... + 22339800571.

Almost surely, 2530413603104100 is an apocalyptic number.

530413603104100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

530413603104100 is the 23030710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530413603104100

530413603104100 is an abundant number, since it is smaller than the sum of its proper divisors (632621183176967).

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

530413603104100 is an frugal number, since it uses more digits than its factorization.

530413603104100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47694 (or 23847 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

Adding to 530413603104100 its reverse (1401306314035), we get a palindrome (531814909418135).

The spelling of 530413603104100 in words is "five hundred thirty trillion, four hundred thirteen billion, six hundred three million, one hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 970 1940 2425 4850 9409 9700 18818 23743 37636 47045 47486 94090 94972 118715 188180 235225 237430 470450 474860 593575 940900 1187150 2303071 2374300 4606142 9212284 11515355 23030710 46061420 57576775 115153550 223397887 230307100 446795774 563730049 893591548 1116989435 1127460098 2233978870 2254920196 2818650245 4467957740 5584947175 5637300490 11169894350 11274600980 14093251225 22339788700 28186502450 54681814753 56373004900 109363629506 218727259012 273409073765 546818147530 1093636295060 1367045368825 2734090737650 5304136031041 5468181475300 10608272062082 21216544124164 26520680155205 53041360310410 106082720620820 132603400776025 265206801552050 530413603104100