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1133132231200 = 25524577514127
BaseRepresentation
bin10000011111010011111…
…100011011001000100000
311000022210221012111112211
4100133103330123020200
5122031123322344300
62224315340131504
7144603034021534
oct20372374331040
94008727174484
101133132231200
113a7616670752
12163737836b94
1382b14071ac8
143cbb58d9bc4
151e71e58d4ba
hex107d3f1b220

1133132231200 has 144 divisors (see below), whose sum is σ = 2776676281344. Its totient is φ = 451549440000.

The previous prime is 1133132231137. The next prime is 1133132231221. The reversal of 1133132231200 is 21322313311.

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 23 ways as a sum of consecutive naturals, for example, 274563537 + ... + 274567663.

It is an arithmetic number, because the mean of its divisors is an integer number (19282474176).

Almost surely, 21133132231200 is an apocalyptic number.

1133132231200 is a gapful number since it is divisible by the number (10) 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 1133132231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388338140672).

1133132231200 is an abundant number, since it is smaller than the sum of its proper divisors (1643544050144).

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

1133132231200 is a wasteful number, since it uses less digits than its factorization.

1133132231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5355 (or 5342 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1133132231200 its reverse (21322313311), we get a palindrome (1154454544511).

The spelling of 1133132231200 in words is "one trillion, one hundred thirty-three billion, one hundred thirty-two million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 457 751 800 914 1502 1828 2285 3004 3656 3755 4127 4570 6008 7312 7510 8254 9140 11425 12016 14624 15020 16508 18280 18775 20635 22850 24032 30040 33016 36560 37550 41270 45700 60080 66032 73120 75100 82540 91400 103175 120160 132064 150200 165080 182800 206350 300400 330160 343207 365600 412700 600800 660320 686414 825400 1372828 1650800 1716035 1886039 2745656 3099377 3301600 3432070 3772078 5491312 6198754 6864140 7544156 8580175 9430195 10982624 12397508 13728280 15088312 15496885 17160350 18860390 24795016 27456560 30176624 30993770 34320700 37720780 47150975 49590032 54913120 60353248 61987540 68641400 75441560 77484425 94301950 99180064 123975080 137282800 150883120 154968850 188603900 247950160 274565600 301766240 309937700 377207800 495900320 619875400 754415600 1239750800 1416415289 1508831200 2479501600 2832830578 5665661156 7082076445 11331322312 14164152890 22662644624 28328305780 35410382225 45325289248 56656611560 70820764450 113313223120 141641528900 226626446240 283283057800 566566115600 1133132231200