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1313000344100 = 225222975716153
BaseRepresentation
bin10011000110110100111…
…010110100101000100100
311122112002020210100201002
4103012310322310220210
5133003011042002400
62443103430052432
7163601241531254
oct23066472645044
94575066710632
101313000344100
11466927512125
121925751aa118
1396a7a589943
1447799da3964
152424a3e3ed5
hex131b4eb4a24

1313000344100 has 36 divisors (see below), whose sum is σ = 2850451650564. Its totient is φ = 524971399680.

The previous prime is 1313000344091. The next prime is 1313000344133. The reversal of 1313000344100 is 14430003131.

It can be written as a sum of positive squares in 6 ways, for example, as 32409360676 + 1280590983424 = 180026^2 + 1131632^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2628377 + ... + 3087776.

Almost surely, 21313000344100 is an apocalyptic number.

1313000344100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313000344100 is an abundant number, since it is smaller than the sum of its proper divisors (1537451306464).

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

1313000344100 is a wasteful number, since it uses less digits than its factorization.

1313000344100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5718464 (or 5718457 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1313000344100 its reverse (14430003131), we get a palindrome (1327430347231).

The spelling of 1313000344100 in words is "one trillion, three hundred thirteen billion, three hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2297 4594 9188 11485 22970 45940 57425 114850 229700 5716153 11432306 22864612 28580765 57161530 114323060 142903825 285807650 571615300 13130003441 26260006882 52520013764 65650017205 131300034410 262600068820 328250086025 656500172050 1313000344100