Search a number
-
+
103100122240 = 275161093941
BaseRepresentation
bin110000000000100111…
…1110000010010000000
3100212010020001212110221
41200001033300102000
53142122112402430
6115210305232424
710306626402523
oct1400117602200
9325106055427
10103100122240
113a7a73708a5
1217b94032714
139950b7b2bb
144dc0a8abba
152a364a957a
hex18013f0480

103100122240 has 32 divisors (see below), whose sum is σ = 246473731260. Its totient is φ = 41240048640.

The previous prime is 103100122211. The next prime is 103100122247. The reversal of 103100122240 is 42221001301.

It can be written as a sum of positive squares in 2 ways, for example, as 97079603776 + 6020518464 = 311576^2 + 77592^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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

It is not an unprimeable number, because it can be changed into a prime (103100122247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80546331 + ... + 80547610.

Almost surely, 2103100122240 is an apocalyptic number.

103100122240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103100122240 is an abundant number, since it is smaller than the sum of its proper divisors (143373609020).

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

103100122240 is an equidigital number, since it uses as much as digits as its factorization.

103100122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161093960 (or 161093948 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 103100122240 its reverse (42221001301), we get a palindrome (145321123541).

The spelling of 103100122240 in words is "one hundred three billion, one hundred million, one hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 161093941 322187882 644375764 805469705 1288751528 1610939410 2577503056 3221878820 5155006112 6443757640 10310012224 12887515280 20620024448 25775030560 51550061120 103100122240