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13123430340 = 22351918163601
BaseRepresentation
bin11000011100011011…
…11010011111000100
31020212121001100001120
430032031322133010
5203334044232330
610010120353540
7643132213566
oct141615723704
936777040046
1013123430340
11562491a4a9
1226630158b0
131311b2a0c7
148c6cd9336
1551c1d3c10
hex30e37a7c4

13123430340 has 96 divisors (see below), whose sum is σ = 38893895040. Its totient is φ = 3297024000.

The previous prime is 13123430339. The next prime is 13123430389. The reversal of 13123430340 is 4303432131.

It is a self number, because there is not a number n which added to its sum of digits gives 13123430340.

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, 174540 + ... + 238140.

It is an arithmetic number, because the mean of its divisors is an integer number (405144740).

Almost surely, 213123430340 is an apocalyptic number.

13123430340 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 13123430340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19446947520).

13123430340 is an abundant number, since it is smaller than the sum of its proper divisors (25770464700).

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

13123430340 is a wasteful number, since it uses less digits than its factorization.

13123430340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63813 (or 63811 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13123430340 its reverse (4303432131), we get a palindrome (17426862471).

The spelling of 13123430340 in words is "thirteen billion, one hundred twenty-three million, four hundred thirty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 181 190 228 285 362 380 543 570 724 905 1086 1140 1810 2172 2715 3439 3620 5430 6878 10317 10860 13756 17195 20634 34390 41268 51585 63601 68780 103170 127202 190803 206340 254404 318005 381606 636010 763212 954015 1208419 1272020 1908030 2416838 3625257 3816060 4833676 6042095 7250514 11511781 12084190 14501028 18126285 23023562 24168380 34535343 36252570 46047124 57558905 69070686 72505140 115117810 138141372 172676715 218723839 230235620 345353430 437447678 656171517 690706860 874895356 1093619195 1312343034 2187238390 2624686068 3280857585 4374476780 6561715170 13123430340