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201343120000 = 275411228799
BaseRepresentation
bin1011101110000011111…
…1000011001010000000
3201020200221121020202121
42323200333003022000
511244322314320000
6232255025454024
720355320165521
oct2734077031200
9636627536677
10201343120000
1178430a40130
12330314a1314
1315ca9673b39
149a60628848
155386330b1a
hex2ee0fc3280

201343120000 has 160 divisors (see below), whose sum is σ = 546799968000. Its totient is φ = 73215360000.

The previous prime is 201343119953. The next prime is 201343120001. The reversal of 201343120000 is 21343102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (201343120001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 765601 + ... + 994399.

It is an arithmetic number, because the mean of its divisors is an integer number (3417499800).

Almost surely, 2201343120000 is an apocalyptic number.

201343120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201343120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273399984000).

201343120000 is an abundant number, since it is smaller than the sum of its proper divisors (345456848000).

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

201343120000 is an equidigital number, since it uses as much as digits as its factorization.

201343120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228844 (or 228817 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 201343120000 its reverse (21343102), we get a palindrome (201364463102).

The spelling of 201343120000 in words is "two hundred one billion, three hundred forty-three million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 275 320 352 400 440 500 550 625 640 704 800 880 1000 1100 1250 1375 1408 1600 1760 2000 2200 2500 2750 3200 3520 4000 4400 5000 5500 6875 7040 8000 8800 10000 11000 13750 16000 17600 20000 22000 27500 35200 40000 44000 55000 80000 88000 110000 176000 220000 228799 440000 457598 880000 915196 1143995 1830392 2287990 2516789 3660784 4575980 5033578 5719975 7321568 9151960 10067156 11439950 12583945 14643136 18303920 20134312 22879900 25167890 28599875 29286272 36607840 40268624 45759800 50335780 57199750 62919725 73215680 80537248 91519600 100671560 114399500 125839450 142999375 146431360 161074496 183039200 201343120 228799000 251678900 285998750 314598625 322148992 366078400 402686240 457598000 503357800 571997500 629197250 732156800 805372480 915196000 1006715600 1143995000 1258394500 1572993125 1610744960 1830392000 2013431200 2287990000 2516789000 3145986250 3660784000 4026862400 4575980000 5033578000 6291972500 8053724800 9151960000 10067156000 12583945000 18303920000 20134312000 25167890000 40268624000 50335780000 100671560000 201343120000