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1300223100 = 2235211394007
BaseRepresentation
bin100110101111111…
…1101010001111100
310100121121011210010
41031133331101330
510130324114400
6333004143220
744135466621
oct11537752174
93317534703
101300223100
11607a3a950
12303537b10
131794b56a7
14c497c348
1579236450
hex4d7fd47c

1300223100 has 72 divisors (see below), whose sum is σ = 4103987328. Its totient is φ = 315204800.

The previous prime is 1300223069. The next prime is 1300223101. The reversal of 1300223100 is 13220031.

It is a happy number.

It is a super-3 number, since 3×13002231003 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300223101) 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, 193704 + ... + 200303.

It is an arithmetic number, because the mean of its divisors is an integer number (56999824).

Almost surely, 21300223100 is an apocalyptic number.

1300223100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300223100 is an abundant number, since it is smaller than the sum of its proper divisors (2803764228).

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

1300223100 is a wasteful number, since it uses less digits than its factorization.

1300223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394035 (or 394028 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1300223100 is about 36058.6064622581. The cubic root of 1300223100 is about 1091.4553127597.

Adding to 1300223100 its reverse (13220031), we get a palindrome (1313443131).

The spelling of 1300223100 in words is "one billion, three hundred million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 394007 788014 1182021 1576028 1970035 2364042 3940070 4334077 4728084 5910105 7880140 8668154 9850175 11820210 13002231 17336308 19700350 21670385 23640420 26004462 29550525 39400700 43340770 52008924 59101050 65011155 86681540 108351925 118202100 130022310 216703850 260044620 325055775 433407700 650111550 1300223100