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11340014130 = 2325294344833
BaseRepresentation
bin10101000111110101…
…01110001000110010
31002021022020101221100
422203322232020302
5141211020423010
65113131505230
7551005346454
oct124372561062
932238211840
1011340014130
11489a162505
1222458b8216
1310b94c5543
147980dc2d4
154658542c0
hex2a3eae232

11340014130 has 48 divisors (see below), whose sum is σ = 30500734680. Its totient is φ = 2919727104.

The previous prime is 11340014113. The next prime is 11340014149. The reversal of 11340014130 is 3141004311.

11340014130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5500150569 + 5839863561 = 74163^2 + 76419^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2169807 + ... + 2175026.

Almost surely, 211340014130 is an apocalyptic number.

11340014130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11340014130 is an abundant number, since it is smaller than the sum of its proper divisors (19160720550).

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

11340014130 is a wasteful number, since it uses less digits than its factorization.

11340014130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4344875 (or 4344872 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11340014130 its reverse (3141004311), we get a palindrome (14481018441).

The spelling of 11340014130 in words is "eleven billion, three hundred forty million, fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 4344833 8689666 13034499 21724165 26068998 39103497 43448330 65172495 78206994 126000157 130344990 195517485 252000314 378000471 391034970 630000785 756000942 1134001413 1260001570 1890002355 2268002826 3780004710 5670007065 11340014130