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134444310100 = 22521344443101
BaseRepresentation
bin111110100110110000…
…0010101111001010100
3110212000122200120221121
41331031200111321110
54200320220410400
6141432440053324
712466440531442
oct1751540257124
9425018616847
10134444310100
1152021343091
1222081164244
13c8a7880119
146715839b92
15376d10121a
hex1f4d815e54

134444310100 has 18 divisors (see below), whose sum is σ = 291744153134. Its totient is φ = 53777724000.

The previous prime is 134444310079. The next prime is 134444310103. The reversal of 134444310100 is 1013444431.

It can be written as a sum of positive squares in 3 ways, for example, as 12858199236 + 121586110864 = 113394^2 + 348692^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134444310103) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 672221451 + ... + 672221650.

Almost surely, 2134444310100 is an apocalyptic number.

134444310100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134444310100 is an abundant number, since it is smaller than the sum of its proper divisors (157299843034).

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

134444310100 is a wasteful number, since it uses less digits than its factorization.

134444310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344443115 (or 1344443108 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 134444310100 its reverse (1013444431), we get a palindrome (135457754531).

The spelling of 134444310100 in words is "one hundred thirty-four billion, four hundred forty-four million, three hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1344443101 2688886202 5377772404 6722215505 13444431010 26888862020 33611077525 67222155050 134444310100