Search a number
-
+
1223003124401 = 2329724198897
BaseRepresentation
bin10001110011000000101…
…010101011001010110001
311022220210012010220102212
4101303000222223022301
5130014202244440101
62333501225221505
7154234105014452
oct21630052531261
94286705126385
101223003124401
1143174441aa03
12179039331895
138b4371cc016
144329d5cb129
1521c2e4161bb
hex11cc0aab2b1

1223003124401 has 24 divisors (see below), whose sum is σ = 1297042127304. Its totient is φ = 1152953303040.

The previous prime is 1223003124319. The next prime is 1223003124433. The reversal of 1223003124401 is 1044213003221.

It can be written as a sum of positive squares in 4 ways, for example, as 267496874401 + 955506250000 = 517201^2 + 977500^2 .

It is a de Polignac number, because none of the positive numbers 2k-1223003124401 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1223003124491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12316985 + ... + 12415881.

It is an arithmetic number, because the mean of its divisors is an integer number (54043421971).

Almost surely, 21223003124401 is an apocalyptic number.

It is an amenable number.

1223003124401 is a deficient number, since it is larger than the sum of its proper divisors (74039002903).

1223003124401 is an equidigital number, since it uses as much as digits as its factorization.

1223003124401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99281 (or 99258 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 1223003124401 its reverse (1044213003221), we get a palindrome (2267216127622).

The spelling of 1223003124401 in words is "one trillion, two hundred twenty-three billion, three million, one hundred twenty-four thousand, four hundred one".

Divisors: 1 23 97 241 529 2231 5543 23377 51313 98897 127489 537671 2274631 9593009 12366433 23834177 52316513 220639207 548186071 2311915169 5074701761 12608279633 53174048887 1223003124401