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31324344200 = 2352299975417
BaseRepresentation
bin11101001011000100…
…111000111110001000
32222212001021120002022
4131023010320332020
51003123013003300
622220141224012
72156150350442
oct351304707610
988761246068
1031324344200
1112314859476
1260a2562008
132c52874916
1417322a5492
15c35027285
hex74b138f88

31324344200 has 96 divisors (see below), whose sum is σ = 75429937800. Its totient is φ = 12083312640.

The previous prime is 31324344197. The next prime is 31324344221. The reversal of 31324344200 is 244342313.

It can be written as a sum of positive squares in 12 ways, for example, as 1444456036 + 29879888164 = 38006^2 + 172858^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 31324344200.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5779892 + ... + 5785308.

Almost surely, 231324344200 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 31324344200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37714968900).

31324344200 is an abundant number, since it is smaller than the sum of its proper divisors (44105593600).

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

31324344200 is a wasteful number, since it uses less digits than its factorization.

31324344200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6459 (or 6450 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 31324344200 its reverse (244342313), we get a palindrome (31568686513).

The spelling of 31324344200 in words is "thirty-one billion, three hundred twenty-four million, three hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 997 1160 1450 1994 2900 3988 4985 5417 5800 7976 9970 10834 19940 21668 24925 27085 28913 39880 43336 49850 54170 57826 99700 108340 115652 135425 144565 157093 199400 216680 231304 270850 289130 314186 541700 578260 628372 722825 785465 1083400 1156520 1256744 1445650 1570930 2891300 3141860 3927325 5400749 5782600 6283720 7854650 10801498 15709300 21602996 27003745 31418600 43205992 54007490 108014980 135018725 156621721 216029960 270037450 313243442 540074900 626486884 783108605 1080149800 1252973768 1566217210 3132434420 3915543025 6264868840 7831086050 15662172100 31324344200