Search a number
-
+
103024554336 = 25321132520377
BaseRepresentation
bin101111111110010111…
…1011111000101100000
3100211220221212121210200
41133330233133011200
53141443241214321
6115155005425200
710305021156114
oct1377457370540
9324827777720
10103024554336
113a768747590
1217b7286b200
13993b310372
144db4a19744
152a2ea2dd26
hex17fcbdf160

103024554336 has 72 divisors (see below), whose sum is σ = 319610274984. Its totient is φ = 31219560960.

The previous prime is 103024554329. The next prime is 103024554341. The reversal of 103024554336 is 633455420301.

103024554336 is a `hidden beast` number, since 1 + 0 + 30 + 245 + 54 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1030245543362 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 103024554336.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16257021 + ... + 16263356.

It is an arithmetic number, because the mean of its divisors is an integer number (4439031597).

Almost surely, 2103024554336 is an apocalyptic number.

103024554336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

103024554336 is an abundant number, since it is smaller than the sum of its proper divisors (216585720648).

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

103024554336 is a wasteful number, since it uses less digits than its factorization.

103024554336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32520404 (or 32520393 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 103024554336 its reverse (633455420301), we get a palindrome (736479974637).

The spelling of 103024554336 in words is "one hundred three billion, twenty-four million, five hundred fifty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 32520377 65040754 97561131 130081508 195122262 260163016 292683393 357724147 390244524 520326032 585366786 715448294 780489048 1040652064 1073172441 1170733572 1430896588 1560978096 2146344882 2341467144 2861793176 3121956192 3219517323 4292689764 4682934288 5723586352 6439034646 8585379528 9365868576 11447172704 12878069292 17170759056 25756138584 34341518112 51512277168 103024554336