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13103303430 = 2357471399551
BaseRepresentation
bin11000011010000010…
…01000101100000110
31020211012011210010110
430031001020230012
5203313421202210
610004121133450
7642466145550
oct141501105406
936735153113
1013103303430
115614522898
12265832a286
13130a900ca9
148c437a4d0
1551a55a420
hex30d048b06

13103303430 has 128 divisors (see below), whose sum is σ = 36973117440. Its totient is φ = 2909923200.

The previous prime is 13103303429. The next prime is 13103303461. The reversal of 13103303430 is 3430330131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 13103303397 and 13103303406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1367155 + ... + 1376705.

It is an arithmetic number, because the mean of its divisors is an integer number (288852480).

Almost surely, 213103303430 is an apocalyptic number.

13103303430 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 13103303430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18486558720).

13103303430 is an abundant number, since it is smaller than the sum of its proper divisors (23869814010).

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

13103303430 is a wasteful number, since it uses less digits than its factorization.

13103303430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9754.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 13103303430 its reverse (3430330131), we get a palindrome (16533633561).

The spelling of 13103303430 in words is "thirteen billion, one hundred three million, three hundred three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 47 70 94 105 139 141 210 235 278 282 329 417 470 658 695 705 834 973 987 1390 1410 1645 1946 1974 2085 2919 3290 4170 4865 4935 5838 6533 9551 9730 9870 13066 14595 19102 19599 28653 29190 32665 39198 45731 47755 57306 65330 66857 91462 95510 97995 133714 137193 143265 195990 200571 228655 274386 286530 334285 401142 448897 457310 668570 685965 897794 1002855 1327589 1346691 1371930 2005710 2244485 2655178 2693382 3142279 3982767 4488970 6284558 6637945 6733455 7965534 9293123 9426837 13275890 13466910 15711395 18586246 18853674 19913835 27879369 31422790 39827670 46465615 47134185 55758738 62396683 92931230 94268370 124793366 139396845 187190049 278793690 311983415 374380098 436776781 623966830 873553562 935950245 1310330343 1871900490 2183883905 2620660686 4367767810 6551651715 13103303430