Search a number
-
+
10103031111321 = 3229169722810213
BaseRepresentation
bin1001001100000100101110…
…0101001001111010011001
31022202211200121110000010100
42103001023211021322121
52311012001431030241
633253133551210013
72061630346343121
oct223011345117231
938684617400110
1010103031111321
1132457427499a5
121172050816909
13583933923255
1426cdbc973c81
15127c0a3199b6
hex9304b949e99

10103031111321 has 24 divisors (see below), whose sum is σ = 15105379915080. Its totient is φ = 6499268084736.

The previous prime is 10103031111247. The next prime is 10103031111323. The reversal of 10103031111321 is 12311113030101.

10103031111321 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 30 + 311 + 1 + 1 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4882884575625 + 5220146535696 = 2209725^2 + 2284764^2 .

It is not a de Polignac number, because 10103031111321 - 27 = 10103031111193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10103031111294 and 10103031111303.

It is not an unprimeable number, because it can be changed into a prime (10103031111323) 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, 10962190 + ... + 11848023.

It is an arithmetic number, because the mean of its divisors is an integer number (629390829795).

Almost surely, 210103031111321 is an apocalyptic number.

It is an amenable number.

10103031111321 is a deficient number, since it is larger than the sum of its proper divisors (5002348803759).

10103031111321 is a wasteful number, since it uses less digits than its factorization.

10103031111321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22811945 (or 22811942 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 10103031111321 its reverse (12311113030101), we get a palindrome (22414144141422).

The spelling of 10103031111321 in words is "ten trillion, one hundred three billion, thirty-one million, one hundred eleven thousand, three hundred twenty-one".

Divisors: 1 3 9 29 87 261 1697 5091 15273 49213 147639 442917 22810213 68430639 205291917 661496177 1984488531 5953465593 38708931461 116126794383 348380383149 1122559012369 3367677037107 10103031111321