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1320103000 = 23537118593
BaseRepresentation
bin100111010101111…
…0010110001011000
310102000000011212201
41032223302301120
510200421244000
6334554215544
744466455536
oct11653626130
93360004781
101320103000
11618188a17
1230a1245b4
13180656248
14c7475156
157ad6196a
hex4eaf2c58

1320103000 has 64 divisors (see below), whose sum is σ = 3132717120. Its totient is φ = 520576000.

The previous prime is 1320102961. The next prime is 1320103007. The reversal of 1320103000 is 3010231.

It is a super-4 number, since 4×13201030004 (a number of 38 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320103007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61704 + ... + 80296.

It is an arithmetic number, because the mean of its divisors is an integer number (48948705).

Almost surely, 21320103000 is an apocalyptic number.

1320103000 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 1320103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566358560).

1320103000 is an abundant number, since it is smaller than the sum of its proper divisors (1812614120).

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

1320103000 is a wasteful number, since it uses less digits than its factorization.

1320103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18685 (or 18671 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 1320103000 is about 36333.2217123668. The cubic root of 1320103000 is about 1096.9898418189.

Adding to 1320103000 its reverse (3010231), we get a palindrome (1323113231).

The spelling of 1320103000 in words is "one billion, three hundred twenty million, one hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 125 142 200 250 284 355 500 568 710 1000 1420 1775 2840 3550 7100 8875 14200 17750 18593 35500 37186 71000 74372 92965 148744 185930 371860 464825 743720 929650 1320103 1859300 2324125 2640206 3718600 4648250 5280412 6600515 9296500 10560824 13201030 18593000 26402060 33002575 52804120 66005150 132010300 165012875 264020600 330025750 660051500 1320103000