Search a number
-
+
13134020340 = 22357239130843
BaseRepresentation
bin11000011101101100…
…10011111011110100
31020220022222100210210
430032312103323310
5203344302122330
610011135345420
7643321221330
oct141666237364
936808870723
1013134020340
11562a8a2971
122666682270
13131409738c
148c84947c0
1551d0c68b0
hex30ed93ef4

13134020340 has 96 divisors (see below), whose sum is σ = 42205040640. Its totient is φ = 2989478016.

The previous prime is 13134020329. The next prime is 13134020353. The reversal of 13134020340 is 4302043131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34959 + ... + 165801.

It is an arithmetic number, because the mean of its divisors is an integer number (439635840).

Almost surely, 213134020340 is an apocalyptic number.

13134020340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13134020340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21102520320).

13134020340 is an abundant number, since it is smaller than the sum of its proper divisors (29071020300).

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

13134020340 is a wasteful number, since it uses less digits than its factorization.

13134020340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131101 (or 131099 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13134020340 its reverse (4302043131), we get a palindrome (17436063471).

The spelling of 13134020340 in words is "thirteen billion, one hundred thirty-four million, twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 239 420 478 717 956 1195 1434 1673 2390 2868 3346 3585 4780 5019 6692 7170 8365 10038 14340 16730 20076 25095 33460 50190 100380 130843 261686 392529 523372 654215 785058 915901 1308430 1570116 1831802 1962645 2616860 2747703 3663604 3925290 4579505 5495406 7850580 9159010 10990812 13738515 18318020 27477030 31271477 54954060 62542954 93814431 125085908 156357385 187628862 218900339 312714770 375257724 437800678 469072155 625429540 656701017 875601356 938144310 1094501695 1313402034 1876288620 2189003390 2626804068 3283505085 4378006780 6567010170 13134020340