Search a number
-
+
4130331413103 = 3271767285720147
BaseRepresentation
bin111100000110101010111…
…011111100101001101111
3112121212002220020110212100
4330012222323330221233
51020132404320204403
612441240440310143
7604256314512330
oct74065273745157
915555086213770
104130331413103
111352733450325
1256859b772353
1323c64754929c
14103ca2838287
157268ce852a3
hex3c1aaefca6f

4130331413103 has 96 divisors (see below), whose sum is σ = 7330083531264. Its totient is φ = 2187325679616.

The previous prime is 4130331413071. The next prime is 4130331413113. The reversal of 4130331413103 is 3013141330314.

4130331413103 is a `hidden beast` number, since 4 + 1 + 30 + 3 + 314 + 1 + 310 + 3 = 666.

It is not a de Polignac number, because 4130331413103 - 25 = 4130331413071 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130331413113) 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, 204999676 + ... + 205019822.

It is an arithmetic number, because the mean of its divisors is an integer number (76355036784).

Almost surely, 24130331413103 is an apocalyptic number.

4130331413103 is a deficient number, since it is larger than the sum of its proper divisors (3199752118161).

4130331413103 is a wasteful number, since it uses less digits than its factorization.

4130331413103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23101 (or 23098 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 4130331413103 its reverse (3013141330314), we get a palindrome (7143472743417).

The spelling of 4130331413103 in words is "four trillion, one hundred thirty billion, three hundred thirty-one million, four hundred thirteen thousand, one hundred three".

Divisors: 1 3 7 9 17 21 51 63 67 119 153 201 357 469 603 1071 1139 1407 2857 3417 4221 7973 8571 10251 19999 20147 23919 25713 48569 59997 60441 71757 141029 145707 179991 181323 191419 339983 342499 423087 437121 574257 1019949 1027497 1269261 1339933 1349849 1722771 2397493 3059847 3082491 3254123 4019799 4049547 7192479 9448943 9762369 12059397 12148641 21577437 22778861 22947433 28346829 29287107 57559979 68336583 68842299 85040487 160632031 172679937 205009749 206526897 402919853 481896093 518039811 978519643 1208759559 1445688279 2935558929 3626278677 3856518593 6849637501 8806676787 11569555779 20548912503 26995630151 34708667337 61646737509 65560816081 80986890453 196682448243 242960671359 458925712567 590047344729 1376777137701 4130331413103