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1014313300 = 22527111310133
BaseRepresentation
bin111100011101010…
…011000101010100
32121200121110021021
4330131103011110
54034131011200
6244352130524
734064343430
oct7435230524
92550543237
101014313300
1148060a660
12243836a44
131321ac0b0
14989d59c0
155e0ac41a
hex3c753154

1014313300 has 144 divisors (see below), whose sum is σ = 2955560832. Its totient is φ = 291801600.

The previous prime is 1014313297. The next prime is 1014313379. The reversal of 1014313300 is 33134101.

1014313300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95034 + ... + 105166.

It is an arithmetic number, because the mean of its divisors is an integer number (20524728).

Almost surely, 21014313300 is an apocalyptic number.

1014313300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477780416).

1014313300 is an abundant number, since it is smaller than the sum of its proper divisors (1941247532).

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

1014313300 is a wasteful number, since it uses less digits than its factorization.

1014313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10178 (or 10171 counting only the distinct ones).

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

The square root of 1014313300 is about 31848.2856681486. The cubic root of 1014313300 is about 1004.7485159062.

Adding to 1014313300 its reverse (33134101), we get a palindrome (1047447401).

The spelling of 1014313300 in words is "one billion, fourteen million, three hundred thirteen 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 10133 14300 20020 20266 25025 40532 50050 50665 70931 100100 101330 111463 131729 141862 202660 222926 253325 263458 283724 354655 445852 506650 526916 557315 658645 709310 780241 922103 1013300 1114630 1317290 1418620 1449019 1560482 1773275 1844206 2229260 2634580 2786575 2898038 3120964 3293225 3546550 3688412 3901205 4610515 5573150 5796076 6586450 7093100 7245095 7802410 9221030 10143133 11146300 13172900 14490190 15604820 18442060 19506025 20286266 23052575 28980380 36225475 39012050 40572532 46105150 50715665 72450950 78024100 92210300 101431330 144901900 202862660 253578325 507156650 1014313300