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13511002340 = 225111031793331
BaseRepresentation
bin11001001010101000…
…11000100011100100
31021212121100000220002
430211110120203210
5210132304033330
610112403400432
7655546424243
oct144524304344
937777300802
1013511002340
115803677040
122750983118
131374209954
1492258695a
1554123ee45
hex3255188e4

13511002340 has 96 divisors (see below), whose sum is σ = 31437020160. Its totient is φ = 4836758400.

The previous prime is 13511002333. The next prime is 13511002403. The reversal of 13511002340 is 4320011531.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 4054475 + ... + 4057805.

It is an arithmetic number, because the mean of its divisors is an integer number (327468960).

Almost surely, 213511002340 is an apocalyptic number.

13511002340 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 13511002340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15718510080).

13511002340 is an abundant number, since it is smaller than the sum of its proper divisors (17926017820).

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

13511002340 is a wasteful number, since it uses less digits than its factorization.

13511002340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633 (or 3631 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 13511002340 its reverse (4320011531), we get a palindrome (17831013871).

The spelling of 13511002340 in words is "thirteen billion, five hundred eleven million, two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 103 110 179 206 220 358 412 515 716 895 1030 1133 1790 1969 2060 2266 3331 3580 3938 4532 5665 6662 7876 9845 11330 13324 16655 18437 19690 22660 33310 36641 36874 39380 66620 73282 73748 92185 146564 183205 184370 202807 343093 366410 368740 405614 596249 686186 732820 811228 1014035 1192498 1372372 1715465 2028070 2384996 2981245 3430930 3774023 4056140 5962490 6558739 6861860 7548046 11924980 13117478 15096092 18870115 26234956 32793695 37740230 61413647 65587390 75480460 122827294 131174780 245654588 307068235 614136470 675550117 1228272940 1351100234 2702200468 3377750585 6755501170 13511002340