Search a number
-
+
103400141200 = 2452258500353
BaseRepresentation
bin110000001001100100…
…0001111000110010000
3100212220010121102010021
41200103020033012100
53143230414004300
6115300143513224
710320231461416
oct1402310170620
9325803542107
10103400141200
113a940758554
12180585b8814
13999b084905
14500c8672b6
152a529bdd1a
hex181320f190

103400141200 has 30 divisors (see below), whose sum is σ = 248418840194. Its totient is φ = 41360056320.

The previous prime is 103400141179. The next prime is 103400141203. The reversal of 103400141200 is 2141004301.

It can be written as a sum of positive squares in 3 ways, for example, as 9805752576 + 93594388624 = 99024^2 + 305932^2 .

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 (103400141203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 129249777 + ... + 129250576.

Almost surely, 2103400141200 is an apocalyptic number.

103400141200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103400141200 is an abundant number, since it is smaller than the sum of its proper divisors (145018698994).

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

103400141200 is a wasteful number, since it uses less digits than its factorization.

103400141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258500371 (or 258500360 counting only the distinct ones).

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

Adding to 103400141200 its reverse (2141004301), we get a palindrome (105541145501).

The spelling of 103400141200 in words is "one hundred three billion, four hundred million, one hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 258500353 517000706 1034001412 1292501765 2068002824 2585003530 4136005648 5170007060 6462508825 10340014120 12925017650 20680028240 25850035300 51700070600 103400141200