Search a number
-
+
23432300224100 = 2252435753780813
BaseRepresentation
bin1010101001111110000011…
…11011100101111001100100
310001222002212021212112201222
411110333001323211321210
511032403322324132400
6121500352231435512
74635633146402405
oct524770173457144
9101862767775658
1023432300224100
117514645663599
122765405b25b98
13100c86c23a1c1
145b01b504b9ac
152a97dba15185
hex154fc1ee5e64

23432300224100 has 36 divisors (see below), whose sum is σ = 50859762868404. Its totient is φ = 9370768682880.

The previous prime is 23432300224033. The next prime is 23432300224141. The reversal of 23432300224100 is 142200323432.

It can be written as a sum of positive squares in 6 ways, for example, as 201500436544 + 23230799787556 = 448888^2 + 4819834^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23432300224100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26454707 + ... + 27326106.

It is an arithmetic number, because the mean of its divisors is an integer number (1412771190789).

Almost surely, 223432300224100 is an apocalyptic number.

23432300224100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23432300224100 is an abundant number, since it is smaller than the sum of its proper divisors (27427462644304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23432300224100 is a wasteful number, since it uses less digits than its factorization.

23432300224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53785184 (or 53785177 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 23432300224100 its reverse (142200323432), we get a palindrome (23574500547532).

The spelling of 23432300224100 in words is "twenty-three trillion, four hundred thirty-two billion, three hundred million, two hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4357 8714 17428 21785 43570 87140 108925 217850 435700 53780813 107561626 215123252 268904065 537808130 1075616260 1344520325 2689040650 5378081300 234323002241 468646004482 937292008964 1171615011205 2343230022410 4686460044820 5858075056025 11716150112050 23432300224100