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1001241306 = 2321317324733
BaseRepresentation
bin111011101011011…
…011101011011010
32120210000022212100
4323223123223122
54022304210211
6243204024230
733545260602
oct7353335332
92523008770
101001241306
114741a145a
1223b392076
1312c5831a0
1496d91c02
155cd79156
hex3badbada

1001241306 has 48 divisors (see below), whose sum is σ = 2349828936. Its totient is φ = 306281088.

The previous prime is 1001241277. The next prime is 1001241331. The reversal of 1001241306 is 6031421001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 655616025 + 345625281 = 25605^2 + 18591^2 .

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28116 + ... + 52848.

Almost surely, 21001241306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001241306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174914468).

1001241306 is an abundant number, since it is smaller than the sum of its proper divisors (1348587630).

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

1001241306 is a wasteful number, since it uses less digits than its factorization.

1001241306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24927 (or 24924 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1001241306 is about 31642.3972859200. The cubic root of 1001241306 is about 1000.4135975801.

Adding to 1001241306 its reverse (6031421001), we get a palindrome (7032662307).

The spelling of 1001241306 in words is "one billion, one million, two hundred forty-one thousand, three hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 173 234 346 519 1038 1557 2249 3114 4498 6747 13494 20241 24733 40482 49466 74199 148398 222597 321529 445194 643058 964587 1929174 2893761 4278809 5787522 8557618 12836427 25672854 38509281 55624517 77018562 111249034 166873551 333747102 500620653 1001241306