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13130131104 = 25347171347
BaseRepresentation
bin11000011101001110…
…11110011010100000
31020220001122202210000
430032213132122200
5203342303143404
610010520140000
7643243162416
oct141647363240
936801582700
1013130131104
115628686922
122665307600
13131333505c
148c7b612b6
1551caa9339
hex30e9de6a0

13130131104 has 120 divisors (see below), whose sum is σ = 39159777888. Its totient is φ = 4315006080.

The previous prime is 13130131073. The next prime is 13130131121. The reversal of 13130131104 is 40113103131.

13130131104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 148359 + ... + 219705.

Almost surely, 213130131104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13130131104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19579888944).

13130131104 is an abundant number, since it is smaller than the sum of its proper divisors (26029646784).

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

13130131104 is an equidigital number, since it uses as much as digits as its factorization.

13130131104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71440 (or 71423 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13130131104 its reverse (40113103131), we get a palindrome (53243234235).

The spelling of 13130131104 in words is "thirteen billion, one hundred thirty million, one hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 81 96 108 142 144 162 213 216 284 288 324 426 432 568 639 648 852 864 1136 1278 1296 1704 1917 2272 2556 2592 3408 3834 5112 5751 6816 7668 10224 11502 15336 20448 23004 30672 46008 61344 71347 92016 142694 184032 214041 285388 428082 570776 642123 856164 1141552 1284246 1712328 1926369 2283104 2568492 3424656 3852738 5065637 5136984 5779107 6849312 7705476 10131274 10273968 11558214 15196911 15410952 20262548 20547936 23116428 30393822 30821904 40525096 45590733 46232856 60787644 61643808 81050192 91181466 92465712 121575288 136772199 162100384 182362932 184931424 243150576 273544398 364725864 410316597 486301152 547088796 729451728 820633194 1094177592 1458903456 1641266388 2188355184 3282532776 4376710368 6565065552 13130131104