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311300000 = 255511283
BaseRepresentation
bin10010100011100…
…000111110100000
3210200202200022122
4102203200332200
51114143100000
650520123412
710500002114
oct2243407640
9720680278
10311300000
1114a7a2330
1288306568
134c6562ab
142d4b5744
151c4e2085
hex128e0fa0

311300000 has 144 divisors (see below), whose sum is σ = 838633824. Its totient is φ = 112800000.

The previous prime is 311299979. The next prime is 311300051. The reversal of 311300000 is 3113.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1099859 + ... + 1100141.

It is an arithmetic number, because the mean of its divisors is an integer number (5823846).

Almost surely, 2311300000 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 311300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419316912).

311300000 is an abundant number, since it is smaller than the sum of its proper divisors (527333824).

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

311300000 is an equidigital number, since it uses as much as digits as its factorization.

311300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 311300000 is about 17643.6957579754. The cubic root of 311300000 is about 677.7346763080.

Adding to 311300000 its reverse (3113), we get a palindrome (311303113).

311300000 divided by its reverse (3113) gives a 5-th power (100000 = 105).

It can be divided in two parts, 31 and 1300000, that added together give a palindrome (1300031).

The spelling of 311300000 in words is "three hundred eleven million, three hundred thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 283 352 400 440 500 550 566 625 800 880 1000 1100 1132 1250 1375 1415 1760 2000 2200 2264 2500 2750 2830 3113 3125 4000 4400 4528 5000 5500 5660 6226 6250 6875 7075 8800 9056 10000 11000 11320 12452 12500 13750 14150 15565 20000 22000 22640 24904 25000 27500 28300 31130 34375 35375 44000 45280 49808 50000 55000 56600 62260 68750 70750 77825 99616 100000 110000 113200 124520 137500 141500 155650 176875 220000 226400 249040 275000 283000 311300 353750 389125 498080 550000 566000 622600 707500 778250 884375 1100000 1132000 1245200 1415000 1556500 1768750 1945625 2490400 2830000 3113000 3537500 3891250 5660000 6226000 7075000 7782500 9728125 12452000 14150000 15565000 19456250 28300000 31130000 38912500 62260000 77825000 155650000 311300000