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11311203332100 = 22352741131372861
BaseRepresentation
bin1010010010011001100001…
…0000011011000000000100
31111001100012012121221111110
42210212120100123000010
52440310321023111400
640020143423005020
72245131106644540
oct244463020330004
944040165557443
1011311203332100
113671066442461
12132822b139770
13640846330149
142b1672596a20
1514936c6bde50
hexa499841b004

11311203332100 has 144 divisors (see below), whose sum is σ = 38314632456576. Its totient is φ = 2522358912000.

The previous prime is 11311203332041. The next prime is 11311203332153. The reversal of 11311203332100 is 123330211311.

It is a happy number.

It is a super-2 number, since 2×113112033321002 (a number of 27 digits) contains 22 as substring.

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

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, 65600331 + ... + 65772530.

It is an arithmetic number, because the mean of its divisors is an integer number (266073836504).

Almost surely, 211311203332100 is an apocalyptic number.

11311203332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11311203332100 is an abundant number, since it is smaller than the sum of its proper divisors (27003429124476).

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

11311203332100 is a wasteful number, since it uses less digits than its factorization.

11311203332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131372926 (or 131372919 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 11311203332100 its reverse (123330211311), we get a palindrome (11434533543411).

The spelling of 11311203332100 in words is "eleven trillion, three hundred eleven billion, two hundred three million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 41 42 50 60 70 75 82 84 100 105 123 140 150 164 175 205 210 246 287 300 350 410 420 492 525 574 615 700 820 861 1025 1050 1148 1230 1435 1722 2050 2100 2460 2870 3075 3444 4100 4305 5740 6150 7175 8610 12300 14350 17220 21525 28700 43050 86100 131372861 262745722 394118583 525491444 656864305 788237166 919610027 1313728610 1576474332 1839220054 1970592915 2627457220 2758830081 3284321525 3678440108 3941185830 4598050135 5386287301 5517660162 6568643050 7882371660 9196100270 9852964575 10772574602 11035320324 13137286100 13794150405 16158861903 18392200540 19705929150 21545149204 22990250675 26931436505 27588300810 32317723806 37704011107 39411858300 45980501350 53862873010 55176601620 64635447612 68970752025 75408022214 80794309515 91961002700 107725746020 113112033321 134657182525 137941504050 150816044428 161588619030 188520055535 226224066642 269314365050 275883008100 323177238060 377040111070 403971547575 452448133284 538628730100 565560166605 754080222140 807943095150 942600277675 1131120333210 1615886190300 1885200555350 2262240666420 2827800833025 3770401110700 5655601666050 11311203332100