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1300003120 = 245131250003
BaseRepresentation
bin100110101111100…
…0111100100110000
310100121012000000201
41031133013210300
510130300044440
6332555324544
744133562363
oct11537074460
93317160021
101300003120
116078aa649
12303450754
13179439520
14c49220da
15791e119a
hex4d7c7930

1300003120 has 40 divisors (see below), whose sum is σ = 3255010416. Its totient is φ = 480000768.

The previous prime is 1300003091. The next prime is 1300003139. The reversal of 1300003120 is 213000031.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×13000031202 = 3380016224019468800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1300003097 and 1300003106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 623962 + ... + 626041.

Almost surely, 21300003120 is an apocalyptic number.

1300003120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300003120 is an abundant number, since it is smaller than the sum of its proper divisors (1955007296).

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

1300003120 is a wasteful number, since it uses less digits than its factorization.

1300003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250029 (or 1250023 counting only the distinct ones).

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

The square root of 1300003120 is about 36055.5560212292. The cubic root of 1300003120 is about 1091.3937561747.

Adding to 1300003120 its reverse (213000031), we get a palindrome (1513003151).

The spelling of 1300003120 in words is "one billion, three hundred million, three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1250003 2500006 5000012 6250015 10000024 12500030 16250039 20000048 25000060 32500078 50000120 65000156 81250195 100000240 130000312 162500390 260000624 325000780 650001560 1300003120