Search a number
-
+
103324122432 = 2632533384569
BaseRepresentation
bin110000000111010011…
…0001111110101000000
3100212200211120020222100
41200032212033311000
53143101433404212
6115244430310400
710315316356356
oct1401646176500
9325624506870
10103324122432
113a901856523
1218037058400
1399883b96ab
1450027197d6
152a4aea4bdc
hex180e98fd40

103324122432 has 84 divisors (see below), whose sum is σ = 301747953780. Its totient is φ = 33791526912.

The previous prime is 103324122403. The next prime is 103324122457. The reversal of 103324122432 is 234221423301.

103324122432 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 2 + 412 + 243 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 92304161856 + 11019960576 = 303816^2 + 104976^2 .

It is a junction number, because it is equal to n+sod(n) for n = 103324122396 and 103324122405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1661757 + ... + 1722812.

It is an arithmetic number, because the mean of its divisors is an integer number (3592237545).

Almost surely, 2103324122432 is an apocalyptic number.

103324122432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103324122432 is an abundant number, since it is smaller than the sum of its proper divisors (198423831348).

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

103324122432 is a wasteful number, since it uses less digits than its factorization.

103324122432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3384640 (or 3384627 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 103324122432 its reverse (234221423301), we get a palindrome (337545545733).

The spelling of 103324122432 in words is "one hundred three billion, three hundred twenty-four million, one hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 144 159 192 212 288 318 424 477 576 636 848 954 1272 1696 1908 2544 3392 3816 5088 7632 10176 15264 30528 3384569 6769138 10153707 13538276 20307414 27076552 30461121 40614828 54153104 60922242 81229656 108306208 121844484 162459312 179382157 216612416 243688968 324918624 358764314 487377936 538146471 649837248 717528628 974755872 1076292942 1435057256 1614439413 1949511744 2152585884 2870114512 3228878826 4305171768 5740229024 6457757652 8610343536 11480458048 12915515304 17220687072 25831030608 34441374144 51662061216 103324122432