Search a number
-
+
110300010331103 = 19229472394012339
BaseRepresentation
bin11001000101000100111000…
…111011110011101111011111
3112110112120121100220200110122
4121011010320323303233133
5103424123410121043403
61030331043014225155
732142625036331105
oct3105047073635737
9473476540820418
10110300010331103
1132165a7635339a
1210454a6a3551bb
1349713282a9538
141d347985b1c75
15cb4252c62838
hex645138ef3bdf

110300010331103 has 96 divisors (see below), whose sum is σ = 123862722048000. Its totient is φ = 98044542489600.

The previous prime is 110300010331073. The next prime is 110300010331151. The reversal of 110300010331103 is 301133010003011.

It is not a de Polignac number, because 110300010331103 - 214 = 110300010314719 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110300010331403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47156907908 + ... + 47156910246.

It is an arithmetic number, because the mean of its divisors is an integer number (1290236688000).

Almost surely, 2110300010331103 is an apocalyptic number.

110300010331103 is a deficient number, since it is larger than the sum of its proper divisors (13562711716897).

110300010331103 is a wasteful number, since it uses less digits than its factorization.

110300010331103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3093 (or 3074 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 110300010331103 its reverse (301133010003011), we get a palindrome (411433020334114).

The spelling of 110300010331103 in words is "one hundred ten trillion, three hundred billion, ten million, three hundred thirty-one thousand, one hundred three".

Divisors: 1 19 29 47 239 361 401 551 893 1363 2339 4541 6931 7619 10469 11233 11629 16967 18847 25897 44441 67831 86279 95839 109933 131689 144761 213427 220951 325757 358093 492043 546563 559021 844379 937939 1288789 1820941 2088727 2502091 2779331 3188057 4055113 4198069 4504433 6189383 6803767 10384697 10621399 16211609 17820841 24486991 26273987 27200231 34597879 39685813 44083133 52807289 60573083 85584227 117598277 130628557 197309243 201806581 224167421 308020571 338595979 499205753 516804389 761945623 837579527 1003338491 1150888577 1278410857 1626100313 2481942583 4259180999 5852390849 6500855209 9484909307 9819283391 10535868787 14476966837 15914011013 24289806283 47156909077 80924438981 123516248971 200181506953 275062369903 305540194823 461506319377 2346808730449 3803448632107 5805263701637 110300010331103