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1014201300 = 2235271728409
BaseRepresentation
bin111100011100110…
…111101111010100
32121200101202122010
4330130313233110
54034113420200
6244345504220
734063366050
oct7434675724
92550352563
101014201300
114805434a2
122437a2070
13132170118
14989a6c60
155e089150
hex3c737bd4

1014201300 has 144 divisors (see below), whose sum is σ = 3551022720. Its totient is φ = 218173440.

The previous prime is 1014201281. The next prime is 1014201313. The reversal of 1014201300 is 31024101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21496 + ... + 49904.

It is an arithmetic number, because the mean of its divisors is an integer number (24659880).

Almost surely, 21014201300 is an apocalyptic number.

1014201300 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 1014201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775511360).

1014201300 is an abundant number, since it is smaller than the sum of its proper divisors (2536821420).

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

1014201300 is a wasteful number, since it uses less digits than its factorization.

1014201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28450 (or 28443 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1014201300 is about 31846.5272832062. The cubic root of 1014201300 is about 1004.7115332580.

Adding to 1014201300 its reverse (31024101), we get a palindrome (1045225401).

The spelling of 1014201300 in words is "one billion, fourteen million, two hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 25 28 30 34 35 42 50 51 60 68 70 75 84 85 100 102 105 119 140 150 170 175 204 210 238 255 300 340 350 357 420 425 476 510 525 595 700 714 850 1020 1050 1190 1275 1428 1700 1785 2100 2380 2550 2975 3570 5100 5950 7140 8925 11900 17850 28409 35700 56818 85227 113636 142045 170454 198863 284090 340908 397726 426135 482953 568180 596589 710225 795452 852270 965906 994315 1193178 1420450 1448859 1704540 1931812 1988630 2130675 2386356 2414765 2840900 2897718 2982945 3380671 3977260 4261350 4829530 4971575 5795436 5965890 6761342 7244295 8522700 9659060 9943150 10142013 11931780 12073825 13522684 14488590 14914725 16903355 19886300 20284026 24147650 28977180 29829450 33806710 36221475 40568052 48295300 50710065 59658900 67613420 72442950 84516775 101420130 144885900 169033550 202840260 253550325 338067100 507100650 1014201300