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530103303112100 = 225289241247145929
BaseRepresentation
bin111100010001000000100101…
…1000100111000010110100100
32120111221101021122022020010112
41320202001023010320112210
51023440203031044041400
65115234032345112152
7216441462011456054
oct17042011304702644
92514841248266115
10530103303112100
111439a8603929a33
124b5556a3788658
13199a36b0a44373
1494c91cb413564
15414430b8cb835
hex1e2204b1385a4

530103303112100 has 72 divisors (see below), whose sum is σ = 1168075923121800. Its totient is φ = 208788879974400.

The previous prime is 530103303112073. The next prime is 530103303112109. The reversal of 530103303112100 is 1211303301035.

It can be written as a sum of positive squares in 12 ways, for example, as 53771979711844 + 476331323400256 = 7332938^2 + 21825016^2 .

It is not an unprimeable number, because it can be changed into a prime (530103303112109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121428065 + ... + 125717864.

It is an arithmetic number, because the mean of its divisors is an integer number (16223276710025).

Almost surely, 2530103303112100 is an apocalyptic number.

530103303112100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

530103303112100 is an abundant number, since it is smaller than the sum of its proper divisors (637972620009700).

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

530103303112100 is a wasteful number, since it uses less digits than its factorization.

530103303112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247146273 (or 247146266 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 23.

Adding to 530103303112100 its reverse (1211303301035), we get a palindrome (531314606413135).

The spelling of 530103303112100 in words is "five hundred thirty trillion, one hundred three billion, three hundred three million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 241 356 445 482 890 964 1205 1780 2225 2410 4450 4820 6025 8900 12050 21449 24100 42898 85796 107245 214490 428980 536225 1072450 2144900 247145929 494291858 988583716 1235729645 2471459290 4942918580 6178648225 12357296450 21995987681 24714592900 43991975362 59562168889 87983950724 109979938405 119124337778 219959876810 238248675556 297810844445 439919753620 549899692025 595621688890 1099799384050 1191243377780 1489054222225 2199598768100 2978108444450 5301033031121 5956216888900 10602066062242 21204132124484 26505165155605 53010330311210 106020660622420 132525825778025 265051651556050 530103303112100