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13130430141 = 3232151157349
BaseRepresentation
bin11000011101010001…
…00111011010111101
31020220002012221222110
430032220213122331
5203342342231031
610010530404233
7643245546303
oct141650473275
936802187873
1013130430141
115628870564
122665430679
13131340b1ba
148c7bdc273
1551cb17c46
hex30ea276bd

13130430141 has 48 divisors (see below), whose sum is σ = 18593187200. Its totient is φ = 8240918400.

The previous prime is 13130430119. The next prime is 13130430143. The reversal of 13130430141 is 14103403131.

It is not a de Polignac number, because 13130430141 - 25 = 13130430109 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 (13130430143) 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 47 ways as a sum of consecutive naturals, for example, 37622835 + ... + 37623183.

Almost surely, 213130430141 is an apocalyptic number.

It is an amenable number.

13130430141 is a deficient number, since it is larger than the sum of its proper divisors (5462757059).

13130430141 is a wasteful number, since it uses less digits than its factorization.

13130430141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 13130430141 its reverse (14103403131), we get a palindrome (27233833272).

The spelling of 13130430141 in words is "thirteen billion, one hundred thirty million, four hundred thirty thousand, one hundred forty-one".

Divisors: 1 3 23 69 151 157 349 453 471 529 1047 1587 3473 3611 8027 10419 10833 23707 24081 52699 54793 71121 79879 83053 158097 164379 184621 239637 249159 545261 553863 1212077 1260239 1635783 3636231 3780717 8273743 12541003 24821229 27877771 28985497 37623009 83633313 86956491 190296089 570888267 4376810047 13130430141