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13018014030 = 2357237333677
BaseRepresentation
bin11000001111110111…
…10010000101001110
31020121020200122001210
430013323302011032
5203130102422110
65551433115250
7640412202450
oct140773620516
936536618053
1013018014030
11558036968a
122633858b26
1312c603b1a8
148b6cd82d0
15512d0e520
hex307ef214e

13018014030 has 128 divisors (see below), whose sum is σ = 37319989248. Its totient is φ = 2841518592.

The previous prime is 13018014001. The next prime is 13018014041. The reversal of 13018014030 is 3041081031.

It is a super-3 number, since 3×130180140303 (a number of 31 digits) contains 333 as substring.

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 = 13018013988 and 13018014006.

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, 3538552 + ... + 3542228.

It is an arithmetic number, because the mean of its divisors is an integer number (291562416).

Almost surely, 213018014030 is an apocalyptic number.

13018014030 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 13018014030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18659994624).

13018014030 is an abundant number, since it is smaller than the sum of its proper divisors (24301975218).

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

13018014030 is a wasteful number, since it uses less digits than its factorization.

13018014030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4450.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 13018014030 its reverse (3041081031), we get a palindrome (16059095061).

The spelling of 13018014030 in words is "thirteen billion, eighteen million, fourteen thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 105 115 138 161 210 230 322 345 483 690 733 805 966 1466 1610 2199 2415 3665 3677 4398 4830 5131 7330 7354 10262 10995 11031 15393 16859 18385 21990 22062 25655 25739 30786 33718 36770 50577 51310 51478 55155 76965 77217 84295 84571 101154 110310 118013 128695 153930 154434 168590 169142 236026 252885 253713 257390 354039 386085 422855 505770 507426 590065 591997 708078 772170 845710 1180130 1183994 1268565 1770195 1775991 2537130 2695241 2959985 3540390 3551982 5390482 5919970 8085723 8879955 13476205 16171446 17759910 18866687 26952410 37733374 40428615 56600061 61990543 80857230 94333435 113200122 123981086 185971629 188666870 283000305 309952715 371943258 433933801 566000610 619905430 867867602 929858145 1301801403 1859716290 2169669005 2603602806 4339338010 6509007015 13018014030