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13031030404 = 2272293496569
BaseRepresentation
bin11000010001011010…
…11011111010000100
31020122011011221011201
430020231123322010
5203141420433104
65553020112244
7640630634200
oct141055337204
936564157151
1013031030404
11558774a017
122638095684
1312c89479a2
148b8925b00
155140310a4
hex308b5be84

13031030404 has 72 divisors (see below), whose sum is σ = 27525015000. Its totient is φ = 5375881728.

The previous prime is 13031030399. The next prime is 13031030423. The reversal of 13031030404 is 40403013031.

It can be written as a sum of positive squares in 4 ways, for example, as 6161936004 + 6869094400 = 78498^2 + 82880^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1980432 + ... + 1987000.

It is an arithmetic number, because the mean of its divisors is an integer number (382291875).

Almost surely, 213031030404 is an apocalyptic number.

13031030404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13031030404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13762507500).

13031030404 is an abundant number, since it is smaller than the sum of its proper divisors (14493984596).

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

13031030404 is a wasteful number, since it uses less digits than its factorization.

13031030404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6965 (or 6956 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 13031030404 its reverse (40403013031), we get a palindrome (53434043435).

The spelling of 13031030404 in words is "thirteen billion, thirty-one million, thirty thousand, four hundred four".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 349 406 698 812 1396 1421 2443 2842 4886 5684 6569 9772 10121 13138 17101 20242 26276 34202 40484 45983 68404 70847 91966 141694 183932 190501 283388 321881 381002 495929 643762 762004 991858 1287524 1333507 1983716 2292581 2667014 4585162 5334028 9170324 9334549 16048067 18669098 32096134 37338196 64192268 66484849 112336469 132969698 224672938 265939396 449345876 465393943 930787886 1861575772 3257757601 6515515202 13031030404