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15145142103 = 3471312771609
BaseRepresentation
bin11100001101011100…
…01000011101010111
31110002111020221020000
432012232020131113
5222004124021403
610542500542343
71044211404150
oct160656103527
943074227200
1015145142103
116472046473
122b280b19b3
131574936a60
14a39606927
155d99347a3
hex386b88757

15145142103 has 80 divisors (see below), whose sum is σ = 27884324160. Its totient is φ = 7977429504.

The previous prime is 15145142093. The next prime is 15145142107. The reversal of 15145142103 is 30124154151.

15145142103 is a `hidden beast` number, since 1 + 514 + 5 + 1 + 42 + 103 = 666.

It is not a de Polignac number, because 15145142103 - 210 = 15145141079 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15145142107) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9411963 + ... + 9413571.

It is an arithmetic number, because the mean of its divisors is an integer number (348554052).

Almost surely, 215145142103 is an apocalyptic number.

15145142103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

15145142103 is a deficient number, since it is larger than the sum of its proper divisors (12739182057).

15145142103 is a wasteful number, since it uses less digits than its factorization.

15145142103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 15145142103 its reverse (30124154151), we get a palindrome (45269296254).

The spelling of 15145142103 in words is "fifteen billion, one hundred forty-five million, one hundred forty-two thousand, one hundred three".

Divisors: 1 3 7 9 13 21 27 39 63 81 91 117 189 273 351 567 819 1053 1277 1609 2457 3831 4827 7371 8939 11263 11493 14481 16601 20917 26817 33789 34479 43443 49803 62751 80451 101367 103437 116207 130329 146419 149409 188253 241353 304101 348621 439257 448227 564759 724059 912303 1045863 1317771 1344681 1694277 2054693 3137589 3953313 6164079 9412767 11859939 14382851 18492237 26711009 43148553 55476711 80133027 129445659 166430133 186977063 240399081 388336977 560931189 721197243 1165010931 1682793567 2163591729 5048380701 15145142103