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100232160224 = 2574409101489
BaseRepresentation
bin101110101011001001…
…1010110001111100000
3100120201100111022012112
41131112103112033200
53120233413111344
6114013535014452
710145563206320
oct1352623261740
9316640438175
10100232160224
1139565494559
121751366a428
1395b4947061
144bcbc15280
1529197e7c9e
hex17564d63e0

100232160224 has 48 divisors (see below), whose sum is σ = 225575733600. Its totient is φ = 42946473984.

The previous prime is 100232160181. The next prime is 100232160247. The reversal of 100232160224 is 422061232001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 100232160224.

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 7 ways as a sum of consecutive naturals, for example, 936872 + ... + 1038360.

It is an arithmetic number, because the mean of its divisors is an integer number (4699494450).

Almost surely, 2100232160224 is an apocalyptic number.

100232160224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100232160224 is an abundant number, since it is smaller than the sum of its proper divisors (125343573376).

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

100232160224 is a wasteful number, since it uses less digits than its factorization.

100232160224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105915 (or 105907 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 100232160224 its reverse (422061232001), we get a palindrome (522293392225).

The spelling of 100232160224 in words is "one hundred billion, two hundred thirty-two million, one hundred sixty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 4409 8818 17636 30863 35272 61726 70544 101489 123452 141088 202978 246904 405956 493808 710423 811912 987616 1420846 1623824 2841692 3247648 5683384 11366768 22733536 447465001 894930002 1789860004 3132255007 3579720008 6264510014 7159440016 12529020028 14318880032 25058040056 50116080112 100232160224