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1311200201100 = 2235219792911837
BaseRepresentation
bin10011000101001001100…
…111110100100110001100
311122100102210111121202010
4103011021213310212030
5132440314222413400
62442205042501220
7163505522550036
oct23051147644614
94570383447663
101311200201100
11466093370039
12192152364810
139685164977a
1447668c90c56
152419235d450
hex131499f498c

1311200201100 has 144 divisors (see below), whose sum is σ = 4043960614400. Its totient is φ = 327057419520.

The previous prime is 1311200201063. The next prime is 1311200201153. The reversal of 1311200201100 is 11020021131.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1005619 + ... + 1906218.

Almost surely, 21311200201100 is an apocalyptic number.

1311200201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311200201100 is an abundant number, since it is smaller than the sum of its proper divisors (2732760413300).

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

1311200201100 is a wasteful number, since it uses less digits than its factorization.

1311200201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911952 (or 2911945 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 1311200201100 its reverse (11020021131), we get a palindrome (1322220222231).

The spelling of 1311200201100 in words is "one trillion, three hundred eleven billion, two hundred million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 79 95 100 114 150 158 190 228 237 285 300 316 380 395 474 475 570 790 948 950 1140 1185 1425 1501 1580 1900 1975 2370 2850 3002 3950 4503 4740 5700 5925 6004 7505 7900 9006 11850 15010 18012 22515 23700 30020 37525 45030 75050 90060 112575 150100 225150 450300 2911837 5823674 8735511 11647348 14559185 17471022 29118370 34942044 43677555 55324903 58236740 72795925 87355110 110649806 145591850 165974709 174710220 218387775 221299612 230035123 276624515 291183700 331949418 436775550 460070246 553249030 663898836 690105369 829873545 873551100 920140492 1106498060 1150175615 1380210738 1383122575 1659747090 2300351230 2760421476 2766245150 3319494180 3450526845 4149367725 4370667337 4600702460 5532490300 5750878075 6901053690 8298735450 8741334674 11501756150 13112002011 13802107380 16597470900 17252634225 17482669348 21853336685 23003512300 26224004022 34505268450 43706673370 52448008044 65560010055 69010536900 87413346740 109266683425 131120020110 218533366850 262240040220 327800050275 437066733700 655600100550 1311200201100