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1304210100240 = 243251811402917
BaseRepresentation
bin10010111110101000111…
…110101101000000010000
311121200101122101201000200
4102332220332231000100
5132332010241201430
62435051300415200
7163140353640165
oct22765076550020
94550348351020
101304210100240
11463126667883
121909213a7500
1395ca93cb508
14471a479006c
1523dd384c460
hex12fa8fad010

1304210100240 has 60 divisors (see below), whose sum is σ = 4379972255724. Its totient is φ = 347789359872.

The previous prime is 1304210100203. The next prime is 1304210100251. The reversal of 1304210100240 is 420010124031.

1304210100240 is a `hidden beast` number, since 1 + 3 + 0 + 421 + 0 + 1 + 0 + 0 + 240 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 187755822864 + 1116454277376 = 433308^2 + 1056624^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 905700739 + ... + 905702178.

Almost surely, 21304210100240 is an apocalyptic number.

1304210100240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1304210100240 is an abundant number, since it is smaller than the sum of its proper divisors (3075762155484).

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

1304210100240 is a wasteful number, since it uses less digits than its factorization.

1304210100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811402936 (or 1811402927 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1304210100240 its reverse (420010124031), we get a palindrome (1724220224271).

The spelling of 1304210100240 in words is "one trillion, three hundred four billion, two hundred ten million, one hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1811402917 3622805834 5434208751 7245611668 9057014585 10868417502 14491223336 16302626253 18114029170 21736835004 27171043755 28982446672 32605252506 36228058340 43473670008 54342087510 65210505012 72456116680 81513131265 86947340016 108684175020 130421010024 144912233360 163026262530 217368350040 260842020048 326052525060 434736700080 652105050120 1304210100240