Search a number
-
+
103365520224 = 2534397244877
BaseRepresentation
bin110000001000100010…
…0001010101101100000
3100212210201110111001220
41200101010022231200
53143143033121344
6115252505455040
710316331265551
oct1402104125540
9325721414056
10103365520224
113a92316127a
1218048aa1480
139993b52525
145008014328
152a4e930c19
hex181110ab60

103365520224 has 48 divisors (see below), whose sum is σ = 271397307888. Its totient is φ = 34447196672.

The previous prime is 103365520213. The next prime is 103365520231. The reversal of 103365520224 is 422025563301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 299674 + ... + 544550.

It is an arithmetic number, because the mean of its divisors is an integer number (5654110581).

Almost surely, 2103365520224 is an apocalyptic number.

It is an amenable number.

103365520224 is an abundant number, since it is smaller than the sum of its proper divisors (168031787664).

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

103365520224 is a wasteful number, since it uses less digits than its factorization.

103365520224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249287 (or 249279 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The spelling of 103365520224 in words is "one hundred three billion, three hundred sixty-five million, five hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4397 8794 13191 17588 26382 35176 52764 70352 105528 140704 211056 244877 422112 489754 734631 979508 1469262 1959016 2938524 3918032 5877048 7836064 11754096 23508192 1076724169 2153448338 3230172507 4306896676 6460345014 8613793352 12920690028 17227586704 25841380056 34455173408 51682760112 103365520224