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13003031020 = 22572294491019
BaseRepresentation
bin11000001110000101…
…01000000111101100
31020120012111102020111
430013002220013230
5203112233443040
65550140025404
7640140640300
oct140702500754
936505442214
1013003031020
115572965731
12262a832264
1312c2bc34c5
148b4d17d00
1551184edea
hex3070a81ec

13003031020 has 144 divisors (see below), whose sum is σ = 32965380000. Its totient is φ = 4290650112.

The previous prime is 13003031011. The next prime is 13003031021. The reversal of 13003031020 is 2013030031.

It is not an unprimeable number, because it can be changed into a prime (13003031021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12760071 + ... + 12761089.

It is an arithmetic number, because the mean of its divisors is an integer number (228926250).

Almost surely, 213003031020 is an apocalyptic number.

13003031020 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 13003031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16482690000).

13003031020 is an abundant number, since it is smaller than the sum of its proper divisors (19962348980).

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

13003031020 is a wasteful number, since it uses less digits than its factorization.

13003031020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 13003031020 its reverse (2013030031), we get a palindrome (15016061051).

The spelling of 13003031020 in words is "thirteen billion, three million, thirty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 58 70 98 116 140 145 196 203 245 290 406 449 490 580 812 898 980 1015 1019 1421 1796 2030 2038 2245 2842 3143 4060 4076 4490 5095 5684 6286 7105 7133 8980 10190 12572 13021 14210 14266 15715 20380 22001 26042 28420 28532 29551 31430 35665 44002 49931 52084 59102 62860 65105 71330 88004 91147 99862 110005 118204 130210 142660 147755 182294 199724 206857 220010 249655 260420 295510 364588 413714 440020 455735 457531 499310 591020 638029 827428 911470 915062 998620 1034285 1276058 1447999 1822940 1830124 2068570 2287655 2552116 2895998 3190145 3202717 4137140 4575310 5791996 6380290 6405434 7239995 9150620 12760580 12810868 13268399 14479990 16013585 22419019 26536798 28959980 32027170 44838038 53073596 64054340 66341995 89676076 92878793 112095095 132683990 185757586 224190190 265367980 371515172 448380380 464393965 650151551 928787930 1300303102 1857575860 2600606204 3250757755 6501515510 13003031020