Search a number
-
+
13011104340 = 22325135560301
BaseRepresentation
bin11000001111000010…
…11011001001010100
31020120202200120202100
430013201123021110
5203121320314330
65551025042100
7640266363543
oct140741331124
936522616670
1013011104340
11557747a2a3
122631486330
1312c478c110
148b601a15a
155123e7060
hex30785b254

13011104340 has 72 divisors (see below), whose sum is σ = 42502948488. Its totient is φ = 3202732800.

The previous prime is 13011104339. The next prime is 13011104363. The reversal of 13011104340 is 4340111031.

It can be written as a sum of positive squares in 4 ways, for example, as 51984 + 13011052356 = 228^2 + 114066^2 .

It is a super-2 number, since 2×130111043402 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2777811 + ... + 2782490.

It is an arithmetic number, because the mean of its divisors is an integer number (590318729).

Almost surely, 213011104340 is an apocalyptic number.

13011104340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13011104340 is an abundant number, since it is smaller than the sum of its proper divisors (29491844148).

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

13011104340 is a wasteful number, since it uses less digits than its factorization.

13011104340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5560329 (or 5560324 counting only the distinct ones).

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

Adding to 13011104340 its reverse (4340111031), we get a palindrome (17351215371).

The spelling of 13011104340 in words is "thirteen billion, eleven million, one hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 5560301 11120602 16680903 22241204 27801505 33361806 50042709 55603010 66723612 72283913 83404515 100085418 111206020 144567826 166809030 200170836 216851739 250213545 289135652 333618060 361419565 433703478 500427090 650555217 722839130 867406956 1000854180 1084258695 1301110434 1445678260 2168517390 2602220868 3252776085 4337034780 6505552170 13011104340