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31303031200 = 2552731180317
BaseRepresentation
bin11101001001110011…
…100101100110100000
32222210120011202010221
4131021303211212200
51003102033444300
622214100332424
72155501242430
oct351163454640
988716152127
1031303031200
1112303821721
1260973a4114
132c4b32198c
14172d5182c0
15c3321731a
hex749ce59a0

31303031200 has 144 divisors (see below), whose sum is σ = 90153229824. Its totient is φ = 10386201600.

The previous prime is 31303031189. The next prime is 31303031203. The reversal of 31303031200 is 213030313.

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 (31303031203) 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 23 ways as a sum of consecutive naturals, for example, 83442 + ... + 263758.

It is an arithmetic number, because the mean of its divisors is an integer number (626064096).

Almost surely, 231303031200 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 31303031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45076614912).

31303031200 is an abundant number, since it is smaller than the sum of its proper divisors (58850198624).

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

31303031200 is a wasteful number, since it uses less digits than its factorization.

31303031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180375 (or 180362 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 31303031200 its reverse (213030313), we get a palindrome (31516061513).

The spelling of 31303031200 in words is "thirty-one billion, three hundred three million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 50 56 62 70 80 100 112 124 140 155 160 175 200 217 224 248 280 310 350 400 434 496 560 620 700 775 800 868 992 1085 1120 1240 1400 1550 1736 2170 2480 2800 3100 3472 4340 4960 5425 5600 6200 6944 8680 10850 12400 17360 21700 24800 34720 43400 86800 173600 180317 360634 721268 901585 1262219 1442536 1803170 2524438 2885072 3606340 4507925 5048876 5589827 5770144 6311095 7212680 9015850 10097752 11179654 12622190 14425360 18031700 20195504 22359308 25244380 27949135 28850720 31555475 36063400 39128789 40391008 44718616 50488760 55898270 63110950 72126800 78257578 89437232 100977520 111796540 126221900 139745675 144253600 156515156 178874464 195643945 201955040 223593080 252443800 279491350 313030312 391287890 447186160 504887600 558982700 626060624 782575780 894372320 978219725 1009775200 1117965400 1252121248 1565151560 1956439450 2235930800 3130303120 3912878900 4471861600 6260606240 7825757800 15651515600 31303031200