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13114040130 = 234597166909
BaseRepresentation
bin11000011011010100…
…00101111101000010
31020211221101021010000
430031222011331002
5203324143241010
610005143220430
7642656334102
oct141552057502
936757337100
1013114040130
11561a5964a4
12265ba47716
13130cbbcc79
148c5973202
1551b47b7c0
hex30da85f42

13114040130 has 80 divisors (see below), whose sum is σ = 35625938040. Its totient is φ = 3461004288.

The previous prime is 13114040113. The next prime is 13114040201. The reversal of 13114040130 is 3104041131.

13114040130 is a `hidden beast` number, since 131 + 1 + 404 + 0 + 130 = 666.

13114040130 is digitally balanced in base 5, 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 10257030729 + 2857009401 = 101277^2 + 53451^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4885 + ... + 162024.

Almost surely, 213114040130 is an apocalyptic number.

13114040130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13114040130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17812969020).

13114040130 is an abundant number, since it is smaller than the sum of its proper divisors (22511897910).

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

13114040130 is a wasteful number, since it uses less digits than its factorization.

13114040130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167025 (or 167016 counting only the distinct ones).

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

Adding to 13114040130 its reverse (3104041131), we get a palindrome (16218081261).

The spelling of 13114040130 in words is "thirteen billion, one hundred fourteen million, forty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 97 135 162 194 270 291 405 485 582 810 873 970 1455 1746 2619 2910 4365 5238 7857 8730 13095 15714 26190 39285 78570 166909 333818 500727 834545 1001454 1502181 1669090 2503635 3004362 4506543 5007270 7510905 9013086 13519629 15021810 16190173 22532715 27039258 32380346 45065430 48570519 67598145 80950865 97141038 135196290 145711557 161901730 242852595 291423114 437134671 485705190 728557785 874269342 1311404013 1457115570 2185673355 2622808026 4371346710 6557020065 13114040130