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1300302100 = 225237457769
BaseRepresentation
bin100110110000001…
…0000100100010100
310100121202012011001
41031200100210110
510130334131400
6333005553044
744136246136
oct11540204424
93317665131
101300302100
11607a94239
12303575784
13179512636
14c499d056
157924ea6a
hex4d810914

1300302100 has 72 divisors (see below), whose sum is σ = 2908034360. Its totient is φ = 504299520.

The previous prime is 1300302077. The next prime is 1300302109. The reversal of 1300302100 is 12030031.

It can be written as a sum of positive squares in 12 ways, for example, as 31945104 + 1268356996 = 5652^2 + 35614^2 .

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 (1300302109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1690516 + ... + 1691284.

Almost surely, 21300302100 is an apocalyptic number.

1300302100 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 1300302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454017180).

1300302100 is an abundant number, since it is smaller than the sum of its proper divisors (1607732260).

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

1300302100 is a wasteful number, since it uses less digits than its factorization.

1300302100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1270 counting only the distinct ones).

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

The square root of 1300302100 is about 36059.7018845137. The cubic root of 1300302100 is about 1091.4774174851.

Adding to 1300302100 its reverse (12030031), we get a palindrome (1312332131).

The spelling of 1300302100 in words is "one billion, three hundred million, three hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 457 740 769 914 925 1538 1828 1850 2285 3076 3700 3845 4570 7690 9140 11425 15380 16909 19225 22850 28453 33818 38450 45700 56906 67636 76900 84545 113812 142265 169090 284530 338180 351433 422725 569060 702866 711325 845450 1405732 1422650 1690900 1757165 2845300 3514330 7028660 8785825 13003021 17571650 26006042 35143300 52012084 65015105 130030210 260060420 325075525 650151050 1300302100