Search a number
-
+
108139034025 = 325211219932
BaseRepresentation
bin110010010110110010…
…1101011010110101001
3101100010101200002222100
41210231211223112221
53232432043042100
6121402310444013
710545533423451
oct1445545532651
9340111602870
10108139034025
1141952735900
1218b5b663609
13a274ab22c9
14533bd9ad61
152c2da4a400
hex192d96b5a9

108139034025 has 81 divisors (see below), whose sum is σ = 213004730757. Its totient is φ = 52404739200.

The previous prime is 108139033991. The next prime is 108139034027. The reversal of 108139034025 is 520430931801.

The square root of 108139034025 is 328845.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1060870041 + 107078163984 = 32571^2 + 327228^2 .

It is not a de Polignac number, because 108139034025 - 213 = 108139025833 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (108139034027) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 54258429 + ... + 54260421.

Almost surely, 2108139034025 is an apocalyptic number.

108139034025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

108139034025 is the 328845-th square number.

108139034025 is the 164423-rd centered octagonal number.

It is an amenable number.

108139034025 is a deficient number, since it is larger than the sum of its proper divisors (104865696732).

108139034025 is an equidigital number, since it uses as much as digits as its factorization.

108139034025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4024 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 108139034025 by its sum of digits (36), we get a square (3893005224900 = 19730702).

Adding to 108139034025 its reverse (520430931801), we get a palindrome (628569965826).

The spelling of 108139034025 in words is "one hundred eight billion, one hundred thirty-nine million, thirty-four thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 121 165 225 275 363 495 605 825 1089 1815 1993 2475 3025 5445 5979 9075 9965 17937 21923 27225 29895 49825 65769 89685 109615 149475 197307 241153 328845 448425 548075 723459 986535 1205765 1644225 2170377 3617295 3972049 4932675 6028825 10851885 11916147 18086475 19860245 35748441 43692539 54259425 59580735 99301225 131077617 178742205 218462695 297903675 393232851 480617929 655388085 893711025 1092313475 1441853787 1966164255 2403089645 3276940425 4325561361 7209268935 9830821275 12015448225 21627806805 36046344675 108139034025