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145231224305103 = 321967503175914327
BaseRepresentation
bin100001000001011001000111…
…100010001111010111001111
3201001012222011201200101202100
4201001121013202033113033
5123013432021410230403
61232514145310530143
742406416061151556
oct4101310742172717
9631188151611670
10145231224305103
1142303241a4a532
121435694b206953
136306326a101c1
1427c132ba18d9d
1511bcbe64e82a3
hex84164788f5cf

145231224305103 has 96 divisors (see below), whose sum is σ = 224704121241600. Its totient is φ = 90118763811648.

The previous prime is 145231224305099. The next prime is 145231224305171. The reversal of 145231224305103 is 301503422132541.

145231224305103 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 312 + 24 + 305 + 10 + 3 = 666.

It is not a de Polignac number, because 145231224305103 - 22 = 145231224305099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145231224105103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10136882926 + ... + 10136897252.

It is an arithmetic number, because the mean of its divisors is an integer number (2340667929600).

Almost surely, 2145231224305103 is an apocalyptic number.

145231224305103 is a deficient number, since it is larger than the sum of its proper divisors (79472896936497).

145231224305103 is a wasteful number, since it uses less digits than its factorization.

145231224305103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16681 (or 16678 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 145231224305103 its reverse (301503422132541), we get a palindrome (446734646437644).

The spelling of 145231224305103 in words is "one hundred forty-five trillion, two hundred thirty-one billion, two hundred twenty-four million, three hundred five thousand, one hundred three".

Divisors: 1 3 9 19 57 67 171 201 503 603 1273 1509 1759 3819 4527 5277 9557 11457 14327 15831 28671 33421 33701 42981 86013 100263 101103 117853 128943 272213 300789 303309 353559 640319 816639 884777 959909 1060677 1920957 2239207 2449917 2654331 2879727 5762871 6717621 7206481 7962993 8639181 16810763 18238271 20152863 21619443 25201193 50432289 54714813 59280059 64858329 75603579 136923139 151296867 164144439 177840177 226810737 410769417 478822667 482834227 533520531 1126321121 1232308251 1436468001 1448502681 1688479931 3378963363 4309404003 4345508043 5065439793 9173850313 10136890089 12676200079 15196319379 27521550939 32081118689 38028600237 82564652817 96243356067 114085800711 240847801501 288730068201 722543404503 849305405293 2167630213509 2547916215879 7643748647637 16136802700567 48410408101701 145231224305103