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213130432031100 = 2235218011951202187
BaseRepresentation
bin110000011101011101001011…
…101100010010100101111100
31000221122001220021000021201120
4300131131023230102211330
5210413412111044443400
62033142434021110540
762615110535133363
oct6035351354224574
91027561807007646
10213130432031100
1161a01121645571
121baa2132558450
1391c0162496a0c
143a8b7d46567da
151999029478ca0
hexc1d74bb1297c

213130432031100 has 144 divisors (see below), whose sum is σ = 617319081716736. Its totient is φ = 56773828800000.

The previous prime is 213130432031003. The next prime is 213130432031117. The reversal of 213130432031100 is 1130234031312.

It is a congruent number.

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, 1054024207 + ... + 1054226393.

Almost surely, 2213130432031100 is an apocalyptic number.

213130432031100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213130432031100 is an abundant number, since it is smaller than the sum of its proper divisors (404188649685636).

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

213130432031100 is a wasteful number, since it uses less digits than its factorization.

213130432031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205956 (or 205949 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 213130432031100 its reverse (1130234031312), we get a palindrome (214260666062412).

The spelling of 213130432031100 in words is "two hundred thirteen trillion, one hundred thirty billion, four hundred thirty-two million, thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1801 1951 3602 3902 5403 5853 7204 7804 9005 9755 10806 11706 18010 19510 21612 23412 27015 29265 36020 39020 45025 48775 54030 58530 90050 97550 108060 117060 135075 146325 180100 195100 202187 270150 292650 404374 540300 585300 606561 808748 1010935 1213122 2021870 2426244 3032805 3513751 4043740 5054675 6065610 7027502 10109350 10541253 12131220 14055004 15164025 17568755 20218700 21082506 30328050 35137510 42165012 52706265 60656100 70275020 87843775 105412530 175687550 210825060 263531325 351375100 364138787 394466837 527062650 728277574 788933674 1054125300 1092416361 1183400511 1456555148 1577867348 1820693935 1972334185 2184832722 2366801022 3641387870 3944668370 4369665444 4733602044 5462081805 5917002555 7282775740 7889336740 9103469675 9861670925 10924163610 11834005110 18206939350 19723341850 21848327220 23668010220 27310409025 29585012775 36413878700 39446683700 54620818050 59170025550 109241636100 118340051100 710434773437 1420869546874 2131304320311 2841739093748 3552173867185 4262608640622 7104347734370 8525217281244 10656521601555 14208695468740 17760869335925 21313043203110 35521738671850 42626086406220 53282608007775 71043477343700 106565216015550 213130432031100