Search a number
-
+
1023444400221 = 323123315743603
BaseRepresentation
bin11101110010010100000…
…10100011100001011101
310121211200121012100120100
432321022002203201131
5113232003231301341
62102055221211313
7133640622603045
oct16711202434135
93554617170510
101023444400221
11365049756871
12146425560b39
13756834438c9
143776bd76725
151b94eaaa3b6
hexee4a0a385d

1023444400221 has 24 divisors (see below), whose sum is σ = 1532545387776. Its totient is φ = 657452819520.

The previous prime is 1023444400219. The next prime is 1023444400241. The reversal of 1023444400221 is 1220044443201.

1023444400221 is a `hidden beast` number, since 1 + 0 + 2 + 34 + 4 + 4 + 400 + 221 = 666.

It is not a de Polignac number, because 1023444400221 - 21 = 1023444400219 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023444400211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7806795 + ... + 7936808.

It is an arithmetic number, because the mean of its divisors is an integer number (63856057824).

Almost surely, 21023444400221 is an apocalyptic number.

It is an amenable number.

1023444400221 is a deficient number, since it is larger than the sum of its proper divisors (509100987555).

1023444400221 is a wasteful number, since it uses less digits than its factorization.

1023444400221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15743873 (or 15743870 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 1023444400221 its reverse (1220044443201), we get a palindrome (2243488843422).

The spelling of 1023444400221 in words is "one trillion, twenty-three billion, four hundred forty-four million, four hundred thousand, two hundred twenty-one".

Divisors: 1 3 9 31 93 233 279 699 2097 7223 21669 65007 15743603 47230809 141692427 488051693 1464155079 3668259499 4392465237 11004778497 33014335491 113716044469 341148133407 1023444400221