Search a number
-
+
23273101801 = 124561186841
BaseRepresentation
bin10101101011001011…
…110101100111101001
32020001221110001211101
4111223023311213221
5340130403224201
614405211201401
71452505046515
oct255313654751
966057401741
1023273101801
119963071934
124616146261
13226b82ca71
1411aac9d145
159132a8d01
hex56b2f59e9

23273101801 has 4 divisors (see below), whose sum is σ = 23273413204. Its totient is φ = 23272790400.

The previous prime is 23273101741. The next prime is 23273101807. The reversal of 23273101801 is 10810137232.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 65626201 + 23207475600 = 8101^2 + 152340^2 .

It is a 3-Lehmer number, since φ(23273101801) divides (23273101801-1)3.

It is a cyclic number.

It is not a de Polignac number, because 23273101801 - 27 = 23273101673 is a prime.

It is a deceptive number, since it divides R23273101800.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 23273101801.

It is not an unprimeable number, because it can be changed into a prime (23273101807) 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, 31141 + ... + 217981.

It is an arithmetic number, because the mean of its divisors is an integer number (5818353301).

It is a Poulet number, since it divides 223273101800-1.

Almost surely, 223273101801 is an apocalyptic number.

23273101801 is the 124561-st pentagonal number.

It is an amenable number.

23273101801 is a deficient number, since it is larger than the sum of its proper divisors (311403).

23273101801 is a wasteful number, since it uses less digits than its factorization.

23273101801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311402.

The product of its (nonzero) digits is 2016, while the sum is 28.

The spelling of 23273101801 in words is "twenty-three billion, two hundred seventy-three million, one hundred one thousand, eight hundred one".

Divisors: 1 124561 186841 23273101801