Search a number
-
+
103110241120 = 2554578831597
BaseRepresentation
bin110000000000111011…
…0010110101101100000
3100212010221002221222021
41200001312112231200
53142132210203440
6115211310151224
710310111405605
oct1400166265540
9325127087867
10103110241120
113a802052307
1217b974b2514
139952cb1cc3
144dc21626ac
152a3730784a
hex1801d96b60

103110241120 has 96 divisors (see below), whose sum is σ = 244560502368. Its totient is φ = 41081499648.

The previous prime is 103110241097. The next prime is 103110241123. The reversal of 103110241120 is 21142011301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 103110241094 and 103110241103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103110241123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64564162 + ... + 64565758.

It is an arithmetic number, because the mean of its divisors is an integer number (2547505233).

Almost surely, 2103110241120 is an apocalyptic number.

103110241120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103110241120 is an abundant number, since it is smaller than the sum of its proper divisors (141450261248).

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

103110241120 is a wasteful number, since it uses less digits than its factorization.

103110241120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 103110241120 its reverse (21142011301), we get a palindrome (124252252421).

The spelling of 103110241120 in words is "one hundred three billion, one hundred ten million, two hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 457 883 914 1597 1766 1828 2285 3194 3532 3656 4415 4570 6388 7064 7312 7985 8830 9140 12776 14128 14624 15970 17660 18280 25552 28256 31940 35320 36560 51104 63880 70640 73120 127760 141280 255520 403531 729829 807062 1410151 1459658 1614124 2017655 2820302 2919316 3228248 3649145 4035310 5640604 5838632 6456496 7050755 7298290 8070620 11281208 11677264 12912992 14101510 14596580 16141240 22562416 23354528 28203020 29193160 32282480 45124832 56406040 58386320 64564960 112812080 116772640 225624160 644439007 1288878014 2577756028 3222195035 5155512056 6444390070 10311024112 12888780140 20622048224 25777560280 51555120560 103110241120