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31100307700 = 225271119212579
BaseRepresentation
bin11100111101101110…
…010000100011110100
32222021102201022210011
4130331232100203310
51002143134321300
622142015310004
72150460153010
oct347556204364
988242638704
1031100307700
111220a349540
12603b51b304
132c18322b47
141710627540
15c20520eba
hex73db908f4

31100307700 has 144 divisors (see below), whose sum is σ = 88569331200. Its totient is φ = 9183369600.

The previous prime is 31100307697. The next prime is 31100307701. The reversal of 31100307700 is 770300113.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31100307701) by changing a digit.

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, 40011 + ... + 252589.

It is an arithmetic number, because the mean of its divisors is an integer number (615064800).

Almost surely, 231100307700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31100307700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44284665600).

31100307700 is an abundant number, since it is smaller than the sum of its proper divisors (57469023500).

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

31100307700 is a wasteful number, since it uses less digits than its factorization.

31100307700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212630 (or 212623 counting only the distinct ones).

The product of its (nonzero) digits is 441, while the sum is 22.

Adding to 31100307700 its reverse (770300113), we get a palindrome (31870607813).

The spelling of 31100307700 in words is "thirty-one billion, one hundred million, three hundred seven thousand, seven hundred".

Divisors: 1 2 4 5 7 10 11 14 19 20 22 25 28 35 38 44 50 55 70 76 77 95 100 110 133 140 154 175 190 209 220 266 275 308 350 380 385 418 475 532 550 665 700 770 836 950 1045 1100 1330 1463 1540 1900 1925 2090 2660 2926 3325 3850 4180 5225 5852 6650 7315 7700 10450 13300 14630 20900 29260 36575 73150 146300 212579 425158 850316 1062895 1488053 2125790 2338369 2976106 4039001 4251580 4676738 5314475 5952212 7440265 8078002 9353476 10628950 11691845 14880530 16156004 16368583 20195005 21257900 23383690 28273007 29761060 32737166 37201325 40390010 44429011 46767380 56546014 58459225 65474332 74402650 80780020 81842915 88858022 100975025 113092028 116918450 141365035 148805300 163685830 177716044 201950050 222145055 233836900 282730070 311003077 327371660 403900100 409214575 444290110 565460140 622006154 706825175 818429150 888580220 1110725275 1244012308 1413650350 1555015385 1636858300 2221450550 2827300700 3110030770 4442901100 6220061540 7775076925 15550153850 31100307700