Search a number
-
+
1100223342441 = 33178151228733
BaseRepresentation
bin10000000000101010011…
…010111110011101101001
310220011212110022201222000
4100000222122332131221
5121011224133424231
62201234032321213
7142326363051456
oct20005232763551
93804773281860
101100223342441
11394669437523
121592926a3209
137c99b146172
143b37300482d
151d9453bb6e6
hex1002a6be769

1100223342441 has 16 divisors (see below), whose sum is σ = 1629976782720. Its totient is φ = 733474904400.

The previous prime is 1100223342377. The next prime is 1100223342469. The reversal of 1100223342441 is 1442433220011.

1100223342441 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 2 + 233 + 424 + 4 + 1 = 666.

It is not a de Polignac number, because 1100223342441 - 26 = 1100223342377 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1100223342341) 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 15 ways as a sum of consecutive naturals, for example, 4695711 + ... + 4924443.

It is an arithmetic number, because the mean of its divisors is an integer number (101873548920).

Almost surely, 21100223342441 is an apocalyptic number.

It is an amenable number.

1100223342441 is a deficient number, since it is larger than the sum of its proper divisors (529753440279).

1100223342441 is a wasteful number, since it uses less digits than its factorization.

1100223342441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406893 (or 406887 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1100223342441 its reverse (1442433220011), we get a palindrome (2542656562452).

The spelling of 1100223342441 in words is "one trillion, one hundred billion, two hundred twenty-three million, three hundred forty-two thousand, four hundred forty-one".

Divisors: 1 3 9 27 178151 228733 534453 686199 1603359 2058597 4810077 6175791 40749012683 122247038049 366741114147 1100223342441