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1014043300 = 225219717517
BaseRepresentation
bin111100011100010…
…001001010100100
32121200002201220021
4330130101022210
54034043341200
6244342244524
734062140314
oct7434211244
92550081807
101014043300
11480445816
12243726744
1313211622a
1498965444
155e05741a
hex3c7112a4

1014043300 has 72 divisors (see below), whose sum is σ = 2349224640. Its totient is φ = 378806400.

The previous prime is 1014043259. The next prime is 1014043307. The reversal of 1014043300 is 33404101.

It is not an unprimeable number, because it can be changed into a prime (1014043307) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 131142 + ... + 138658.

It is an arithmetic number, because the mean of its divisors is an integer number (32628120).

Almost surely, 21014043300 is an apocalyptic number.

1014043300 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 1014043300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174612320).

1014043300 is an abundant number, since it is smaller than the sum of its proper divisors (1335181340).

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

1014043300 is a wasteful number, since it uses less digits than its factorization.

1014043300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7621 (or 7614 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1014043300 is about 31844.0465393455. The cubic root of 1014043300 is about 1004.6593566778.

Adding to 1014043300 its reverse (33404101), we get a palindrome (1047447401).

The spelling of 1014043300 in words is "one billion, fourteen million, forty-three thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 71 76 95 100 142 190 284 355 380 475 710 950 1349 1420 1775 1900 2698 3550 5396 6745 7100 7517 13490 15034 26980 30068 33725 37585 67450 75170 134900 142823 150340 187925 285646 375850 533707 571292 714115 751700 1067414 1428230 2134828 2668535 2856460 3570575 5337070 7141150 10140433 10674140 13342675 14282300 20280866 26685350 40561732 50702165 53370700 101404330 202808660 253510825 507021650 1014043300