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13148384130 = 234572331277
BaseRepresentation
bin11000011111011010…
…00110101110000010
31020221100000010020000
430033231012232002
5203411441243010
610012411300430
7643554264300
oct141755065602
936840003200
1013148384130
115637a13672
12266b44a716
13131705626b
148ca353270
1551e4b27c0
hex30fb46b82

13148384130 has 120 divisors (see below), whose sum is σ = 41126838588. Its totient is φ = 3005335872.

The previous prime is 13148384129. The next prime is 13148384131. The reversal of 13148384130 is 3148384131.

It is a happy number.

13148384130 is a `hidden beast` number, since 1 + 3 + 148 + 384 + 130 = 666.

13148384130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13148384129) and next prime (13148384131).

It can be written as a sum of positive squares in 2 ways, for example, as 12873852369 + 274531761 = 113463^2 + 16569^2 .

It is not an unprimeable number, because it can be changed into a prime (13148384131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 125949 + ... + 205328.

Almost surely, 213148384130 is an apocalyptic number.

13148384130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13148384130 is an abundant number, since it is smaller than the sum of its proper divisors (27978454458).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13148384130 is a wasteful number, since it uses less digits than its factorization.

13148384130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331310 (or 331294 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Subtracting from 13148384130 its reverse (3148384131), we obtain a palindrome (9999999999).

The spelling of 13148384130 in words is "thirteen billion, one hundred forty-eight million, three hundred eighty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 81 90 98 105 126 135 147 162 189 210 245 270 294 315 378 405 441 490 567 630 735 810 882 945 1134 1323 1470 1890 2205 2646 2835 3969 4410 5670 6615 7938 13230 19845 39690 331277 662554 993831 1656385 1987662 2318939 2981493 3312770 4637878 4969155 5962986 6956817 8944479 9938310 11594695 13913634 14907465 16232573 17888958 20870451 23189390 26833437 29814930 32465146 34784085 41740902 44722395 48697719 53666874 62611353 69568170 81162865 89444790 97395438 104352255 125222706 134167185 146093157 162325730 187834059 208704510 243488595 268334370 292186314 313056765 375668118 438279471 486977190 626113530 730465785 876558942 939170295 1314838413 1460931570 1878340590 2191397355 2629676826 4382794710 6574192065 13148384130