Search a number
-
+
2530303444201 = 132373361120397
BaseRepresentation
bin100100110100100001110…
…101101000010011101001
322221220011012100000202211
4210310201311220103221
5312424030140203301
65214223320125121
7350544164256301
oct44644165502351
98856135300684
102530303444201
11896106369445
1234a4816067a1
131547b68ac900
148a67854a601
1545c441c9051
hex24d21d684e9

2530303444201 has 24 divisors (see below), whose sum is σ = 2814826740504. Its totient is φ = 2271843624960.

The previous prime is 2530303444183. The next prime is 2530303444217. The reversal of 2530303444201 is 1024443030352.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 151243987801 + 2379059456400 = 388901^2 + 1542420^2 .

It is not a de Polignac number, because 2530303444201 - 211 = 2530303442153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2530303447201) 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 23 ways as a sum of consecutive naturals, for example, 20956135 + ... + 21076531.

It is an arithmetic number, because the mean of its divisors is an integer number (117284447521).

Almost surely, 22530303444201 is an apocalyptic number.

It is an amenable number.

2530303444201 is a deficient number, since it is larger than the sum of its proper divisors (284523296303).

2530303444201 is a wasteful number, since it uses less digits than its factorization.

2530303444201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123821 (or 123808 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 2530303444201 its reverse (1024443030352), we get a palindrome (3554746474553).

The spelling of 2530303444201 in words is "two trillion, five hundred thirty billion, three hundred three million, four hundred forty-four thousand, two hundred one".

Divisors: 1 13 37 169 481 3361 6253 43693 120397 124357 568009 1565161 1616641 4454689 20347093 21016333 57910957 404654317 752842441 5260506121 14972209729 68386579573 194638726477 2530303444201