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3014311300 = 22527111330113
BaseRepresentation
bin1011001110101010…
…1011110110000100
321210001221212202021
42303222223312010
522133130430200
61215035052524
7134461136410
oct26352536604
97701855667
103014311300
111307555770
127015a1144
13390655570
1420848dd40
1512996e41a
hexb3aabd84

3014311300 has 144 divisors (see below), whose sum is σ = 8782687872. Its totient is φ = 867225600.

The previous prime is 3014311291. The next prime is 3014311379. The reversal of 3014311300 is 31134103.

It is a super-2 number, since 2×30143113002 = 18172145226615380000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 85044 + ... + 115156.

It is an arithmetic number, because the mean of its divisors is an integer number (60990888).

Almost surely, 23014311300 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 3014311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4391343936).

3014311300 is an abundant number, since it is smaller than the sum of its proper divisors (5768376572).

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

3014311300 is a wasteful number, since it uses less digits than its factorization.

3014311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30158 (or 30151 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 3014311300 is about 54902.7440115701. The cubic root of 3014311300 is about 1444.5393182698.

Adding to 3014311300 its reverse (31134103), we get a palindrome (3045445403).

The spelling of 3014311300 in words is "three billion, fourteen million, three hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 130 140 143 154 175 182 220 260 275 286 308 325 350 364 385 455 550 572 650 700 715 770 910 1001 1100 1300 1430 1540 1820 1925 2002 2275 2860 3575 3850 4004 4550 5005 7150 7700 9100 10010 14300 20020 25025 30113 50050 60226 100100 120452 150565 210791 301130 331243 391469 421582 602260 662486 752825 782938 843164 1053955 1324972 1505650 1565876 1656215 1957345 2107910 2318701 2740283 3011300 3312430 3914690 4215820 4306159 4637402 5269775 5480566 6624860 7829380 8281075 8612318 9274804 9786725 10539550 10961132 11593505 13701415 16562150 17224636 19573450 21079100 21530795 23187010 27402830 30143113 33124300 39146900 43061590 46374020 54805660 57967525 60286226 68507075 86123180 107653975 115935050 120572452 137014150 150715565 215307950 231870100 274028300 301431130 430615900 602862260 753577825 1507155650 3014311300