Search a number
-
+
103951440216 = 233213111059231
BaseRepresentation
bin110000011001111111…
…1010001100101011000
3100221022112222022012100
41200303333101211120
53200343032041331
6115431000043400
710340004443241
oct1406377214530
9327275868170
10103951440216
11400a3972678
1218191163560
139a5835b450
145061b73cc8
152a860bbae6
hex1833fd1958

103951440216 has 48 divisors (see below), whose sum is σ = 303191703360. Its totient is φ = 31985058240.

The previous prime is 103951440199. The next prime is 103951440233. The reversal of 103951440216 is 612044159301.

It is a happy number.

103951440216 is a `hidden beast` number, since 1 + 0 + 395 + 14 + 40 + 216 = 666.

It is an interprime number because it is at equal distance from previous prime (103951440199) and next prime (103951440233).

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

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 11 ways as a sum of consecutive naturals, for example, 55528680 + ... + 55530551.

It is an arithmetic number, because the mean of its divisors is an integer number (6316493820).

Almost surely, 2103951440216 is an apocalyptic number.

It is an amenable number.

103951440216 is an abundant number, since it is smaller than the sum of its proper divisors (199240263144).

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

103951440216 is a wasteful number, since it uses less digits than its factorization.

103951440216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111059256 (or 111059249 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 103951440216 its reverse (612044159301), we get a palindrome (715995599517).

The spelling of 103951440216 in words is "one hundred three billion, nine hundred fifty-one million, four hundred forty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 111059231 222118462 333177693 444236924 666355386 888473848 999533079 1332710772 1443770003 1999066158 2665421544 2887540006 3998132316 4331310009 5775080012 7996264632 8662620018 11550160024 12993930027 17325240036 25987860054 34650480072 51975720108 103951440216