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13012322430 = 23537891071231
BaseRepresentation
bin11000001111001100…
…00100100001111110
31020120211222110122210
430013212010201332
5203122123304210
65551111121250
7640312626042
oct140746044176
936524873583
1013012322430
115578131488
122631973226
1312c4ac7693
148b6256022
15512587e20
hex30798487e

13012322430 has 128 divisors (see below), whose sum is σ = 32763709440. Its totient is φ = 3304350720.

The previous prime is 13012322429. The next prime is 13012322431. The reversal of 13012322430 is 3422321031.

It is an interprime number because it is at equal distance from previous prime (13012322429) and next prime (13012322431).

It is a super-2 number, since 2×130123224302 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13012322397 and 13012322406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13012322431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10569915 + ... + 10571145.

It is an arithmetic number, because the mean of its divisors is an integer number (255966480).

Almost surely, 213012322430 is an apocalyptic number.

13012322430 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 13012322430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16381854720).

13012322430 is an abundant number, since it is smaller than the sum of its proper divisors (19751387010).

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

13012322430 is a wasteful number, since it uses less digits than its factorization.

13012322430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13012322430 its reverse (3422321031), we get a palindrome (16434643461).

The spelling of 13012322430 in words is "thirteen billion, twelve million, three hundred twenty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 89 107 111 178 185 214 222 267 321 370 445 534 535 555 642 890 1070 1110 1231 1335 1605 2462 2670 3210 3293 3693 3959 6155 6586 7386 7918 9523 9879 11877 12310 16465 18465 19046 19758 19795 23754 28569 32930 36930 39590 45547 47615 49395 57138 59385 91094 95230 98790 109559 118770 131717 136641 142845 219118 227735 263434 273282 285690 328677 352351 395151 455470 547795 657354 658585 683205 704702 790302 1057053 1095590 1317170 1366410 1643385 1761755 1975755 2114106 3286770 3523510 3951510 4053683 4873529 5285265 8107366 9747058 10570530 11722813 12161049 14620587 20268415 23445626 24322098 24367645 29241174 35168439 40536830 48735290 58614065 60805245 70336878 73102935 117228130 121610490 146205870 175842195 351684390 433744081 867488162 1301232243 2168720405 2602464486 4337440810 6506161215 13012322430