Search a number
-
+
103427924860 = 22513171011911213
BaseRepresentation
bin110000001010011001…
…0001110001101111100
3100212222001212222010201
41200110302032031330
53143310022043420
6115303015213244
710321016566351
oct1402462161574
9325861788121
10103427924860
113a955404857
1218065977224
1399a3a61b50
14501241a628
152a5515b10a
hex1814c8e37c

103427924860 has 192 divisors, whose sum is σ = 251634345984. Its totient is φ = 35371008000.

The previous prime is 103427924849. The next prime is 103427924939. The reversal of 103427924860 is 68429724301.

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 103427924860.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 85265614 + ... + 85266826.

It is an arithmetic number, because the mean of its divisors is an integer number (1310595552).

Almost surely, 2103427924860 is an apocalyptic number.

103427924860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103427924860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125817172992).

103427924860 is an abundant number, since it is smaller than the sum of its proper divisors (148206421124).

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

103427924860 is a wasteful number, since it uses less digits than its factorization.

103427924860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 103427924860 in words is "one hundred three billion, four hundred twenty-seven million, nine hundred twenty-four thousand, eight hundred sixty".