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1300103000 = 23537792351
BaseRepresentation
bin100110101111101…
…1111111101011000
310100121101002000222
41031133133331120
510130311244000
6333001415212
744134456520
oct11537377530
93317332028
101300103000
11607968699
1230349a508
13179472b21
14c494a680
1579210a85
hex4d7dff58

1300103000 has 128 divisors (see below), whose sum is σ = 3522355200. Its totient is φ = 439920000.

The previous prime is 1300102997. The next prime is 1300103039. The reversal of 1300103000 is 3010031.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 551825 + ... + 554175.

It is an arithmetic number, because the mean of its divisors is an integer number (27518400).

Almost surely, 21300103000 is an apocalyptic number.

1300103000 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 1300103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761177600).

1300103000 is an abundant number, since it is smaller than the sum of its proper divisors (2222252200).

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

1300103000 is a wasteful number, since it uses less digits than its factorization.

1300103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458 (or 2444 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 1300103000 is about 36056.9410793539. The cubic root of 1300103000 is about 1091.4217062658.

Adding to 1300103000 its reverse (3010031), we get a palindrome (1303113031).

The spelling of 1300103000 in words is "one billion, three hundred million, one hundred three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 79 100 125 140 158 175 200 250 280 316 350 395 500 553 632 700 790 875 1000 1106 1400 1580 1750 1975 2212 2351 2765 3160 3500 3950 4424 4702 5530 7000 7900 9404 9875 11060 11755 13825 15800 16457 18808 19750 22120 23510 27650 32914 39500 47020 55300 58775 65828 69125 79000 82285 94040 110600 117550 131656 138250 164570 185729 235100 276500 293875 329140 371458 411425 470200 553000 587750 658280 742916 822850 928645 1175500 1300103 1485832 1645700 1857290 2057125 2351000 2600206 3291400 3714580 4114250 4643225 5200412 6500515 7429160 8228500 9286450 10400824 13001030 16457000 18572900 23216125 26002060 32502575 37145800 46432250 52004120 65005150 92864500 130010300 162512875 185729000 260020600 325025750 650051500 1300103000