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211231011312300 = 223527886311349001
BaseRepresentation
bin110000000001110100001101…
…011001010001001010101100
31000200220111011100211022102110
4300001310031121101022230
5210141302102343443200
62025130104215124020
762330636242331310
oct6001641531211254
91020814140738373
10211231011312300
1161339629117381
121b835b9a373610
1390b2cca765325
143a238c7b39b40
15196490b4aeb50
hexc01d0d6512ac

211231011312300 has 144 divisors (see below), whose sum is σ = 698549413087232. Its totient is φ = 48275922240000.

The previous prime is 211231011312287. The next prime is 211231011312311. The reversal of 211231011312300 is 3213110132112.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12937800 + ... + 24286800.

Almost surely, 2211231011312300 is an apocalyptic number.

211231011312300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211231011312300 is an abundant number, since it is smaller than the sum of its proper divisors (487318401774932).

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

211231011312300 is a wasteful number, since it uses less digits than its factorization.

211231011312300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11357888 (or 11357881 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 211231011312300 its reverse (3213110132112), we get a palindrome (214444121444412).

The spelling of 211231011312300 in words is "two hundred eleven trillion, two hundred thirty-one billion, eleven million, three hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 8863 17726 26589 35452 44315 53178 62041 88630 106356 124082 132945 177260 186123 221575 248164 265890 310205 372246 443150 531780 620410 664725 744492 886300 930615 1240820 1329450 1551025 1861230 2658900 3102050 3722460 4653075 6204100 9306150 11349001 18612300 22698002 34047003 45396004 56745005 68094006 79443007 113490010 136188012 158886014 170235015 226980020 238329021 283725025 317772028 340470030 397215035 476658042 567450050 680940060 794430070 851175075 953316084 1134900100 1191645105 1588860140 1702350150 1986075175 2383290210 3404700300 3972150350 4766580420 5958225525 7944300700 11916451050 23832902100 100586195863 201172391726 301758587589 402344783452 502930979315 603517175178 704103371041 1005861958630 1207034350356 1408206742082 1508792937945 2011723917260 2112310113123 2514654896575 2816413484164 3017585875890 3520516855205 4224620226246 5029309793150 6035171751780 7041033710410 7543964689725 8449240452492 10058619586300 10561550565615 14082067420820 15087929379450 17602584276025 21123101131230 30175858758900 35205168552050 42246202262460 52807752828075 70410337104100 105615505656150 211231011312300