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311113320 = 23357370373
BaseRepresentation
bin10010100010110…
…011011001101000
3210200102012020120
4102202303121220
51114121111240
650512123240
710465263630
oct2242633150
9720365216
10311113320
1114a685051
1288236520
134c5bc32b
142d4676c0
151c4a6ad0
hex128b3668

311113320 has 64 divisors (see below), whose sum is σ = 1066677120. Its totient is φ = 71111424.

The previous prime is 311113301. The next prime is 311113331. The reversal of 311113320 is 23311113.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 311113320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184347 + ... + 186026.

It is an arithmetic number, because the mean of its divisors is an integer number (16666830).

Almost surely, 2311113320 is an apocalyptic number.

311113320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311113320 is an abundant number, since it is smaller than the sum of its proper divisors (755563800).

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

311113320 is a wasteful number, since it uses less digits than its factorization.

311113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370394 (or 370390 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 311113320 is about 17638.4046897672. The cubic root of 311113320 is about 677.5991748537.

Adding to 311113320 its reverse (23311113), we get a palindrome (334424433).

The spelling of 311113320 in words is "three hundred eleven million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 370373 740746 1111119 1481492 1851865 2222238 2592611 2962984 3703730 4444476 5185222 5555595 7407460 7777833 8888952 10370444 11111190 12963055 14814920 15555666 20740888 22222380 25926110 31111332 38889165 44444760 51852220 62222664 77778330 103704440 155556660 311113320