Search a number
-
+
41102400200 = 23521621126781
BaseRepresentation
bin100110010001111001…
…001101101011001000
310221002111102021021112
4212101321031223020
51133134203301300
630514315025452
72653361431361
oct462171155310
9127074367245
1041102400200
1116482262694
127b7113b288
133b50593884
141dbcb72b68
151108693e35
hex991e4dac8

41102400200 has 48 divisors (see below), whose sum is σ = 95622787860. Its totient is φ = 16430688000.

The previous prime is 41102400193. The next prime is 41102400211. The reversal of 41102400200 is 200420114.

It can be written as a sum of positive squares in 6 ways, for example, as 16770768004 + 24331632196 = 129502^2 + 155986^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 260810 + ... + 387590.

Almost surely, 241102400200 is an apocalyptic number.

41102400200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41102400200 is an abundant number, since it is smaller than the sum of its proper divisors (54520387660).

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

41102400200 is a wasteful number, since it uses less digits than its factorization.

41102400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128418 (or 128409 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 41102400200 its reverse (200420114), we get a palindrome (41302820314).

The spelling of 41102400200 in words is "forty-one billion, one hundred two million, four hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1621 3242 6484 8105 12968 16210 32420 40525 64840 81050 126781 162100 253562 324200 507124 633905 1014248 1267810 2535620 3169525 5071240 6339050 12678100 25356200 205512001 411024002 822048004 1027560005 1644096008 2055120010 4110240020 5137800025 8220480040 10275600050 20551200100 41102400200