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103324023432 = 23327682730029
BaseRepresentation
bin110000000111010010…
…1110111101010001000
3100212200211101020011200
41200032211313222020
53143101422222212
6115244424224200
710315315464630
oct1401645675210
9325624336150
10103324023432
113a901799103
121803700b060
139988383606
1450026d16c0
152a4ae856dc
hex180e977a88

103324023432 has 96 divisors (see below), whose sum is σ = 319869950400. Its totient is φ = 29515842432.

The previous prime is 103324023379. The next prime is 103324023479. The reversal of 103324023432 is 234320423301.

103324023432 is a `hidden beast` number, since 103 + 324 + 0 + 234 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 103324023396 and 103324023405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3425794 + ... + 3455822.

It is an arithmetic number, because the mean of its divisors is an integer number (3331978650).

Almost surely, 2103324023432 is an apocalyptic number.

103324023432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103324023432 is an abundant number, since it is smaller than the sum of its proper divisors (216545926968).

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

103324023432 is a wasteful number, since it uses less digits than its factorization.

103324023432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36875 (or 36868 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 103324023432 its reverse (234320423301), we get a palindrome (337644446733).

The spelling of 103324023432 in words is "one hundred three billion, three hundred twenty-four million, twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 6827 13654 20481 27308 30029 40962 47789 54616 60058 61443 81924 90087 95578 120116 122886 143367 163848 180174 191156 210203 240232 245772 270261 286734 360348 382312 420406 430101 491544 540522 573468 630609 720696 840812 860202 1081044 1146936 1261218 1681624 1720404 1891827 2162088 2522436 3440808 3783654 5044872 7567308 15134616 205007983 410015966 615023949 820031932 1230047898 1435055881 1640063864 1845071847 2460095796 2870111762 3690143694 4305167643 4920191592 5740223524 7380287388 8610335286 11480447048 12915502929 14760574776 17220670572 25831005858 34441341144 51662011716 103324023432