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23145302401 = 137347335153
BaseRepresentation
bin10101100011100100…
…010100100110000001
32012202000222012000021
4111203210110212001
5334400144134101
614344404053441
71446363552514
oct254344244601
965660865007
1023145302401
1198a7a132a1
12459b394281
13224b204b10
141197d12d7b
15906e625a1
hex563914981

23145302401 has 16 divisors (see below), whose sum is σ = 25277401296. Its totient is φ = 21063684096.

The previous prime is 23145302357. The next prime is 23145302441. The reversal of 23145302401 is 10420354132.

It can be written as a sum of positive squares in 8 ways, for example, as 1646411776 + 21498890625 = 40576^2 + 146625^2 .

It is a de Polignac number, because none of the positive numbers 2k-23145302401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23145302441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4489041 + ... + 4494193.

It is an arithmetic number, because the mean of its divisors is an integer number (1579837581).

Almost surely, 223145302401 is an apocalyptic number.

It is an amenable number.

23145302401 is a deficient number, since it is larger than the sum of its proper divisors (2132098895).

23145302401 is a wasteful number, since it uses less digits than its factorization.

23145302401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9972.

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 23145302401 its reverse (10420354132), we get a palindrome (33565656533).

The spelling of 23145302401 in words is "twenty-three billion, one hundred forty-five million, three hundred two thousand, four hundred one".

Divisors: 1 13 73 949 4733 5153 61529 66989 345509 376169 4491617 4890197 24389149 317058937 1780407877 23145302401