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13003313220220 = 22517831159739733
BaseRepresentation
bin1011110100111001000111…
…0111011000101001111100
31201001002211020220112222111
42331032101313120221330
53201021241141021340
643353350054223404
72511313136454511
oct275162167305174
951032736815874
1013003313220220
114163746354124
121560167354b64
13734290218c5b
1432d514083308
151783a549baea
hexbd391dd8a7c

13003313220220 has 96 divisors (see below), whose sum is σ = 29264861521728. Its totient is φ = 4835845926912.

The previous prime is 13003313220197. The next prime is 13003313220223. The reversal of 13003313220220 is 2202231330031.

It is a junction number, because it is equal to n+sod(n) for n = 13003313220191 and 13003313220200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13003313220223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327247474 + ... + 327287206.

It is an arithmetic number, because the mean of its divisors is an integer number (304842307518).

Almost surely, 213003313220220 is an apocalyptic number.

13003313220220 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 13003313220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14632430760864).

13003313220220 is an abundant number, since it is smaller than the sum of its proper divisors (16261548301508).

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

13003313220220 is a wasteful number, since it uses less digits than its factorization.

13003313220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51439 (or 51437 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 13003313220220 its reverse (2202231330031), we get a palindrome (15205544550251).

The spelling of 13003313220220 in words is "thirteen trillion, three billion, three hundred thirteen million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 83 85 166 170 332 340 415 830 1411 1660 2822 5644 7055 11597 14110 23194 28220 39733 46388 57985 79466 115970 158932 197149 198665 231940 394298 397330 675461 788596 794660 962551 985745 1350922 1925102 1971490 2701844 3297839 3377305 3850204 3942980 4812755 6595678 6754610 9625510 13191356 13509220 16363367 16489195 19251020 32726734 32978390 56063263 65453468 65956780 81816835 112126526 163633670 224253052 280316315 327267340 460783601 560632630 921567202 1121265260 1843134404 2303918005 4607836010 7833321217 9215672020 15666642434 31333284868 38245038883 39166606085 76490077766 78333212170 152980155532 156666424340 191225194415 382450388830 650165661011 764900777660 1300331322022 2600662644044 3250828305055 6501656610110 13003313220220