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13131313203000 = 2335323190308887
BaseRepresentation
bin1011111100010101111101…
…0000100100011100111000
31201111100012210110101202110
42333011133100210130320
53210120412134444000
643532235250132320
72523464116406046
oct277053720443470
951440183411673
1013131313203000
114202a5aa74763
121580b2a2810a0
1374337b93b635
143357b7a8b396
1517b897947850
hexbf15f424738

13131313203000 has 128 divisors (see below), whose sum is σ = 42750988600320. Its totient is φ = 3349436393600.

The previous prime is 13131313202989. The next prime is 13131313203017. The reversal of 13131313203000 is 30231313131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95085444 + ... + 95223443.

It is an arithmetic number, because the mean of its divisors is an integer number (333992098440).

Almost surely, 213131313203000 is an apocalyptic number.

13131313203000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13131313203000 is an abundant number, since it is smaller than the sum of its proper divisors (29619675397320).

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

13131313203000 is a wasteful number, since it uses less digits than its factorization.

13131313203000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190308934 (or 190308920 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 13131313203000 its reverse (30231313131), we get a palindrome (13161544516131).

The spelling of 13131313203000 in words is "thirteen trillion, one hundred thirty-one billion, three hundred thirteen million, two hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 125 138 150 184 200 230 250 276 300 345 375 460 500 552 575 600 690 750 920 1000 1150 1380 1500 1725 2300 2760 2875 3000 3450 4600 5750 6900 8625 11500 13800 17250 23000 34500 69000 190308887 380617774 570926661 761235548 951544435 1141853322 1522471096 1903088870 2283706644 2854633305 3806177740 4377104401 4567413288 4757722175 5709266610 7612355480 8754208802 9515444350 11418533220 13131313203 14273166525 17508417604 19030888700 21885522005 22837066440 23788610875 26262626406 28546333050 35016835208 38061777400 43771044010 47577221750 52525252812 57092666100 65656566015 71365832625 87542088020 95154443500 105050505624 109427610025 114185332200 131313132030 142731665250 175084176040 190308887000 218855220050 262626264060 285463330500 328282830075 437710440100 525252528120 547138050125 570926661000 656565660150 875420880200 1094276100250 1313131320300 1641414150375 2188552200500 2626262640600 3282828300750 4377104401000 6565656601500 13131313203000