Search a number
-
+
13122334401030 = 2325178576689151
BaseRepresentation
bin1011111011110100100000…
…0101001010001000000110
31201110111001001020222222100
42332331020011022020012
53204444020101313110
643524152303212530
72523025452013611
oct276751005121006
951414031228870
1013122334401030
1141aa172741968
12157b2432a7146
1374257a6a0b6a
143351a53d3178
1517b51e556bc0
hexbef4814a206

13122334401030 has 48 divisors (see below), whose sum is σ = 36125014708224. Its totient is φ = 3293448633600.

The previous prime is 13122334401017. The next prime is 13122334401073. The reversal of 13122334401030 is 3010443322131.

It is a happy number.

13122334401030 is a `hidden beast` number, since 1 + 3 + 1 + 223 + 3 + 4 + 401 + 0 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13122334400985 and 13122334401003.

It is a congruent number.

It is an unprimeable number.

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, 4288343046 + ... + 4288346105.

It is an arithmetic number, because the mean of its divisors is an integer number (752604473088).

Almost surely, 213122334401030 is an apocalyptic number.

13122334401030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13122334401030 is an abundant number, since it is smaller than the sum of its proper divisors (23002680307194).

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

13122334401030 is a wasteful number, since it uses less digits than its factorization.

13122334401030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8576689181 (or 8576689178 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13122334401030 its reverse (3010443322131), we get a palindrome (16132777723161).

The spelling of 13122334401030 in words is "thirteen trillion, one hundred twenty-two billion, three hundred thirty-four million, four hundred one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 8576689151 17153378302 25730067453 42883445755 51460134906 77190202359 85766891510 128650337265 145803715567 154380404718 257300674530 291607431134 385951011795 437411146701 729018577835 771902023590 874822293402 1312233440103 1458037155670 2187055733505 2624466880206 4374111467010 6561167200515 13122334401030