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2042263301 = 13157097177
BaseRepresentation
bin111100110111010…
…0111011100000101
312021022212201120112
41321232213130011
513140304411201
6534352442405
7101415644261
oct17156473405
95238781515
102042263301
11958893711
1248bb49405
13267154130
1415533b0a1
15be4600bb
hex79ba7705

2042263301 has 4 divisors (see below), whose sum is σ = 2199360492. Its totient is φ = 1885166112.

The previous prime is 2042263283. The next prime is 2042263309. The reversal of 2042263301 is 1033622402.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 700872676 + 1341390625 = 26474^2 + 36625^2 .

It is a cyclic number.

It is not a de Polignac number, because 2042263301 - 214 = 2042246917 is a prime.

It is a super-3 number, since 3×20422633013 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042263309) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 78548576 + ... + 78548601.

It is an arithmetic number, because the mean of its divisors is an integer number (549840123).

Almost surely, 22042263301 is an apocalyptic number.

It is an amenable number.

2042263301 is a deficient number, since it is larger than the sum of its proper divisors (157097191).

2042263301 is a wasteful number, since it uses less digits than its factorization.

2042263301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157097190.

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 2042263301 is about 45191.4073801647. The cubic root of 2042263301 is about 1268.7339980801.

Adding to 2042263301 its reverse (1033622402), we get a palindrome (3075885703).

The spelling of 2042263301 in words is "two billion, forty-two million, two hundred sixty-three thousand, three hundred one".

Divisors: 1 13 157097177 2042263301