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23124344101 = 377313216481
BaseRepresentation
bin10101100010010100…
…010111110100100101
32012200120112101121221
4111202110113310211
5334324313002401
614342334540341
71446020452555
oct254224276445
965616471557
1023124344101
1198970a8a91
1245943676b1
132246a77461
141195219165
159051c27a1
hex562517d25

23124344101 has 16 divisors (see below), whose sum is σ = 24096601648. Its totient is φ = 22170931200.

The previous prime is 23124344083. The next prime is 23124344119. The reversal of 23124344101 is 10144342132.

It is an interprime number because it is at equal distance from previous prime (23124344083) and next prime (23124344119).

It can be written as a sum of positive squares in 8 ways, for example, as 11826780001 + 11297564100 = 108751^2 + 106290^2 .

It is a 9-Lehmer number, since φ(23124344101) divides (23124344101-1)9.

It is a cyclic number.

It is not a de Polignac number, because 23124344101 - 27 = 23124343973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23124344171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3564781 + ... + 3571261.

It is an arithmetic number, because the mean of its divisors is an integer number (1506037603).

Almost surely, 223124344101 is an apocalyptic number.

It is an amenable number.

23124344101 is a deficient number, since it is larger than the sum of its proper divisors (972257547).

23124344101 is a wasteful number, since it uses less digits than its factorization.

23124344101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7912.

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

Adding to 23124344101 its reverse (10144342132), we get a palindrome (33268686233).

The spelling of 23124344101 in words is "twenty-three billion, one hundred twenty-four million, three hundred forty-four thousand, one hundred one".

Divisors: 1 37 73 1321 2701 6481 48877 96433 239797 473113 3568021 8561401 17505181 316771837 624982273 23124344101