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13013013030 = 2354386311689
BaseRepresentation
bin11000001111010001…
…01101001000100110
31020120220021112222120
430013220231020212
5203122312404110
65551134010410
7640321533333
oct140750551046
936526245876
1013013013030
115578563326
122632046a06
1312c4ca9b14
148b639598a
15512672870
hex307a2d226

13013013030 has 64 divisors (see below), whose sum is σ = 31997306880. Its totient is φ = 3385218816.

The previous prime is 13013013029. The next prime is 13013013043. The reversal of 13013013030 is 3031031031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 1107426 + ... + 1119114.

It is an arithmetic number, because the mean of its divisors is an integer number (499957920).

Almost surely, 213013013030 is an apocalyptic number.

13013013030 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 13013013030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15998653440).

13013013030 is an abundant number, since it is smaller than the sum of its proper divisors (18984293850).

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

13013013030 is a wasteful number, since it uses less digits than its factorization.

13013013030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12605.

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 13013013030 its reverse (3031031031), we get a palindrome (16044044061).

The spelling of 13013013030 in words is "thirteen billion, thirteen million, thirteen thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 430 645 863 1290 1726 2589 4315 5178 8630 11689 12945 23378 25890 35067 37109 58445 70134 74218 111327 116890 175335 185545 222654 350670 371090 502627 556635 1005254 1113270 1507881 2513135 3015762 5026270 7539405 10087607 15078810 20175214 30262821 50438035 60525642 100876070 151314105 302628210 433767101 867534202 1301301303 2168835505 2602602606 4337671010 6506506515 13013013030