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1300323003100 = 2252112909111821
BaseRepresentation
bin10010111011000001010…
…010100110101011011100
311121022100202010201011221
4102323001102212223130
5132301030142044400
62433205442423124
7162642134105362
oct22730122465334
94538322121157
101300323003100
11461511488200
12190017661aa4
1395809cba534
1446d16429632
1523c57479c1a
hex12ec14a6adc

1300323003100 has 108 divisors (see below), whose sum is σ = 3102142594264. Its totient is φ = 472752720000.

The previous prime is 1300323003059. The next prime is 1300323003103. The reversal of 1300323003100 is 13003230031.

It is a super-2 number, since 2×13003230031002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300323003103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 109995190 + ... + 110007010.

Almost surely, 21300323003100 is an apocalyptic number.

1300323003100 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 1300323003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551071297132).

1300323003100 is an abundant number, since it is smaller than the sum of its proper divisors (1801819591164).

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

1300323003100 is a wasteful number, since it uses less digits than its factorization.

1300323003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20948 (or 20930 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 1300323003100 its reverse (13003230031), we get a palindrome (1313326233131).

1300323003100 divided by its reverse (13003230031) gives a square (100 = 102).

The spelling of 1300323003100 in words is "one trillion, three hundred billion, three hundred twenty-three million, three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 9091 11821 12100 18182 23642 36364 45455 47284 59105 90910 100001 118210 130031 181820 200002 227275 236420 260062 295525 400004 454550 500005 520124 591050 650155 909100 1000010 1100011 1182100 1300310 1430341 2000020 2200022 2500025 2600620 2860682 3250775 4400044 5000050 5500055 5721364 6501550 7151705 10000100 11000110 13003100 14303410 22000220 27500275 28606820 35758525 55000550 71517050 107464711 110001100 143034100 214929422 429858844 537323555 1074647110 1182111821 2149294220 2364223642 2686617775 4728447284 5373235550 5910559105 10746471100 11821118210 13003230031 23642236420 26006460062 29552795525 52012920124 59105591050 65016150155 118211182100 130032300310 260064600620 325080750775 650161501550 1300323003100