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13021353030 = 2357192171763
BaseRepresentation
bin11000010000010001…
…00001010001000110
31020121110222021022110
430020020201101012
5203131431244110
65552032441450
7640452450240
oct141010412106
936543867273
1013021353030
11558223a294
1226349a9286
1312c6939c2a
148b7527090
1551326da20
hex308221446

13021353030 has 96 divisors (see below), whose sum is σ = 37694640384. Its totient is φ = 2819644992.

The previous prime is 13021353029. The next prime is 13021353043. The reversal of 13021353030 is 3035312031.

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 = 13021352988 and 13021353006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10072 + ... + 161691.

It is an arithmetic number, because the mean of its divisors is an integer number (392652504).

Almost surely, 213021353030 is an apocalyptic number.

13021353030 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 13021353030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18847320192).

13021353030 is an abundant number, since it is smaller than the sum of its proper divisors (24673287354).

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

13021353030 is a wasteful number, since it uses less digits than its factorization.

13021353030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171818 (or 171799 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 21.

Adding to 13021353030 its reverse (3035312031), we get a palindrome (16056665061).

The spelling of 13021353030 in words is "thirteen billion, twenty-one million, three hundred fifty-three thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 361 399 570 665 722 798 1083 1330 1805 1995 2166 2527 3610 3990 5054 5415 7581 10830 12635 15162 25270 37905 75810 171763 343526 515289 858815 1030578 1202341 1717630 2404682 2576445 3263497 3607023 5152890 6011705 6526994 7214046 9790491 12023410 16317485 18035115 19580982 22844479 32634970 36070230 45688958 48952455 62006443 68533437 97904910 114222395 124012886 137066874 186019329 228444790 310032215 342667185 372038658 434045101 620064430 685334370 868090202 930096645 1302135303 1860193290 2170225505 2604270606 4340451010 6510676515 13021353030