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315130553345100 = 2235237113123250967
BaseRepresentation
bin100011110100111000000110…
…0101100001010010001001100
31112022210012001002110001111110
41013221300030230022101030
5312301044333124020400
63034120551101052020
7123243300612050103
oct10751601454122114
91468705032401443
10315130553345100
1191457131a21529
122b4164b4857010
13106ab8b703b04c
1457b658609703a
1526674076dae50
hex11e9c0cb0a44c

315130553345100 has 144 divisors (see below), whose sum is σ = 936432384991488. Its totient is φ = 81762554453760.

The previous prime is 315130553345099. The next prime is 315130553345129. The reversal of 315130553345100 is 1543355031513.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1255539817 + ... + 1255790783.

It is an arithmetic number, because the mean of its divisors is an integer number (6503002673552).

Almost surely, 2315130553345100 is an apocalyptic number.

315130553345100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315130553345100 is an abundant number, since it is smaller than the sum of its proper divisors (621301831646388).

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

315130553345100 is a wasteful number, since it uses less digits than its factorization.

315130553345100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364144 (or 364137 counting only the distinct ones).

The product of its (nonzero) digits is 202500, while the sum is 39.

The spelling of 315130553345100 in words is "three hundred fifteen trillion, one hundred thirty billion, five hundred fifty-three million, three hundred forty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 113123 226246 250967 339369 452492 501934 565615 678738 752901 1003868 1131230 1254835 1357476 1505802 1696845 2262460 2509670 2828075 3011604 3393690 3764505 4185551 5019340 5656150 6274175 6787380 7529010 8371102 8484225 9285779 11312300 12548350 12556653 15058020 16742204 16968450 18571558 18822525 20927755 25096700 25113306 27857337 33936900 37143116 37645050 41855510 46428895 50226612 55714674 62783265 75290100 83711020 92857790 104638775 111429348 125566530 139286685 185715580 209277550 232144475 251133060 278573370 313916325 418555100 464288950 557146740 627832650 696433425 928577900 1255665300 1392866850 2785733700 28390139941 56780279882 85170419823 113560559764 141950699705 170340839646 283901399410 340681679292 425852099115 567802798820 709753498525 851704198230 1050435177817 1419506997050 1703408396460 2100870355634 2129260495575 2839013994100 3151305533451 4201740711268 4258520991150 5252175889085 6302611066902 8517041982300 10504351778170 12605222133804 15756527667255 21008703556340 26260879445425 31513055334510 52521758890850 63026110669020 78782638336275 105043517781700 157565276672550 315130553345100