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1300503100 = 2252131815527
BaseRepresentation
bin100110110000100…
…0001101000111100
310100122010101212111
41031201001220330
510130412044400
6333014143404
744141044141
oct11541015074
93318111774
101300503100
11608111256
12303651b64
13179582c80
14c4a123c8
157928e3ba
hex4d841a3c

1300503100 has 72 divisors (see below), whose sum is σ = 3056519648. Its totient is φ = 477446400.

The previous prime is 1300503097. The next prime is 1300503109. The reversal of 1300503100 is 13050031.

It is a super-2 number, since 2×13005031002 = 3382616626219220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300503109) 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, 232537 + ... + 238063.

Almost surely, 21300503100 is an apocalyptic number.

1300503100 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 1300503100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528259824).

1300503100 is an abundant number, since it is smaller than the sum of its proper divisors (1756016548).

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

1300503100 is a wasteful number, since it uses less digits than its factorization.

1300503100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5735 (or 5728 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 1300503100 is about 36062.4888214887. The cubic root of 1300503100 is about 1091.5336545851.

Adding to 1300503100 its reverse (13050031), we get a palindrome (1313553131).

The spelling of 1300503100 in words is "one billion, three hundred million, five hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 181 260 325 362 650 724 905 1300 1810 2353 3620 4525 4706 5527 9050 9412 11054 11765 18100 22108 23530 27635 47060 55270 58825 71851 110540 117650 138175 143702 235300 276350 287404 359255 552700 718510 1000387 1437020 1796275 2000774 3592550 4001548 5001935 7185100 10003870 13005031 20007740 25009675 26010062 50019350 52020124 65025155 100038700 130050310 260100620 325125775 650251550 1300503100