Search a number
-
+
13004130120 = 23352927113789
BaseRepresentation
bin11000001110001101…
…10100011101001000
31020120021120020220220
430013012310131020
5203113024130440
65550215350040
7640153165542
oct140706643510
936507506826
1013004130120
115573546483
12262b082320
1312c31b9867
148b5122692
155119ba8d0
hex3071b4748

13004130120 has 128 divisors (see below), whose sum is σ = 40509504000. Its totient is φ = 3335592960.

The previous prime is 13004130107. The next prime is 13004130143. The reversal of 13004130120 is 2103140031.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13004130120.

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, 936186 + ... + 949974.

It is an arithmetic number, because the mean of its divisors is an integer number (316480500).

Almost surely, 213004130120 is an apocalyptic number.

13004130120 is a gapful number since it is divisible by the number (10) 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 13004130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20254752000).

13004130120 is an abundant number, since it is smaller than the sum of its proper divisors (27505373880).

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

13004130120 is a wasteful number, since it uses less digits than its factorization.

13004130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14103 (or 14099 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13004130120 its reverse (2103140031), we get a palindrome (15107270151).

The spelling of 13004130120 in words is "thirteen billion, four million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 271 290 348 435 542 580 696 813 870 1084 1160 1355 1626 1740 2168 2710 3252 3480 4065 5420 6504 7859 8130 10840 13789 15718 16260 23577 27578 31436 32520 39295 41367 47154 55156 62872 68945 78590 82734 94308 110312 117885 137890 157180 165468 188616 206835 235770 275780 314360 330936 399881 413670 471540 551560 799762 827340 943080 1199643 1599524 1654680 1999405 2399286 3199048 3736819 3998810 4798572 5998215 7473638 7997620 9597144 11210457 11996430 14947276 15995240 18684095 22420914 23992860 29894552 37368190 44841828 47985720 56052285 74736380 89683656 108367751 112104570 149472760 216735502 224209140 325103253 433471004 448418280 541838755 650206506 866942008 1083677510 1300413012 1625516265 2167355020 2600826024 3251032530 4334710040 6502065060 13004130120