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13043340400 = 24521912011429
BaseRepresentation
bin11000010010111000…
…11001010001110000
31020200000100100022111
430021130121101300
5203203043343100
65554140015104
7641140364326
oct141134312160
936600310274
1013043340400
115593697772
122640231494
1312cb367acc
148ba40bd16
155151636ba
hex309719470

13043340400 has 120 divisors (see below), whose sum is σ = 33036489200. Its totient is φ = 4935168000.

The previous prime is 13043340397. The next prime is 13043340403. The reversal of 13043340400 is 404334031.

It is an interprime number because it is at equal distance from previous prime (13043340397) and next prime (13043340403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13043340403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9126886 + ... + 9128314.

Almost surely, 213043340400 is an apocalyptic number.

13043340400 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 13043340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16518244600).

13043340400 is an abundant number, since it is smaller than the sum of its proper divisors (19993148800).

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

13043340400 is a wasteful number, since it uses less digits than its factorization.

13043340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2667 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 13043340400 its reverse (404334031), we get a palindrome (13447674431).

The spelling of 13043340400 in words is "thirteen billion, forty-three million, three hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 760 950 1201 1429 1520 1900 2402 2858 3800 4804 5716 6005 7145 7600 9608 11432 12010 14290 19216 22819 22864 24020 27151 28580 30025 35725 45638 48040 54302 57160 60050 71450 91276 96080 108604 114095 114320 120100 135755 142900 182552 217208 228190 240200 271510 285800 365104 434416 456380 480400 543020 570475 571600 678775 912760 1086040 1140950 1357550 1716229 1825520 2172080 2281900 2715100 3432458 4563800 5430200 6864916 8581145 9127600 10860400 13729832 17162290 27459664 32608351 34324580 42905725 65216702 68649160 85811450 130433404 137298320 163041755 171622900 260866808 326083510 343245800 521733616 652167020 686491600 815208775 1304334040 1630417550 2608668080 3260835100 6521670200 13043340400