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13003104420 = 22335228710529
BaseRepresentation
bin11000001110000101…
…11010000010100100
31020120012122010221000
430013002322002210
5203112243320140
65550141353300
7640141364265
oct140702720244
936505563830
1013003104420
115572a05899
12262a868830
1312c2c1aa37
148b4d3696c
15511866a30
hex3070ba0a4

13003104420 has 96 divisors (see below), whose sum is σ = 40475635200. Its totient is φ = 3465649152.

The previous prime is 13003104407. The next prime is 13003104437. The reversal of 13003104420 is 2440130031.

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

It is a junction number, because it is equal to n+sod(n) for n = 13003104393 and 13003104402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1229716 + ... + 1240244.

It is an arithmetic number, because the mean of its divisors is an integer number (421621200).

Almost surely, 213003104420 is an apocalyptic number.

13003104420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13003104420 is an abundant number, since it is smaller than the sum of its proper divisors (27472530780).

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

13003104420 is a wasteful number, since it uses less digits than its factorization.

13003104420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12834 (or 12826 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13003104420 its reverse (2440130031), we get a palindrome (15443234451).

The spelling of 13003104420 in words is "thirteen billion, three million, one hundred four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 2287 4574 6861 9148 10529 11435 13722 20583 21058 22870 27444 31587 34305 41166 42116 45740 52645 61749 63174 68610 82332 94761 102915 105290 123498 126348 137220 157935 189522 205830 210580 246996 284283 308745 315870 379044 411660 473805 568566 617490 631740 947610 1137132 1234980 1421415 1895220 2842830 5685660 24079823 48159646 72239469 96319292 120399115 144478938 216718407 240798230 288957876 361197345 433436814 481596460 650155221 722394690 866873628 1083592035 1300310442 1444789380 2167184070 2600620884 3250776105 4334368140 6501552210 13003104420