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43014430100 = 2252127226669
BaseRepresentation
bin101000000011110111…
…000001110110010100
311010000202020110012202
4220003313001312110
51201043143230400
631432140304032
73051636423515
oct500367016624
9133022213182
1043014430100
1117273584a94
128405542018
134096749c05
142120a8ca0c
1511bb47b4d5
hexa03dc1d94

43014430100 has 54 divisors (see below), whose sum is σ = 94085599230. Its totient is φ = 17069653440.

The previous prime is 43014430097. The next prime is 43014430157. The reversal of 43014430100 is 103441034.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 13006490116 + 30007939984 = 114046^2 + 173228^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1599566 + ... + 1626234.

Almost surely, 243014430100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43014430100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47042799615).

43014430100 is an abundant number, since it is smaller than the sum of its proper divisors (51071169130).

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

43014430100 is a wasteful number, since it uses less digits than its factorization.

43014430100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26937 (or 26803 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 43014430100 its reverse (103441034), we get a palindrome (43117871134).

The spelling of 43014430100 in words is "forty-three billion, fourteen million, four hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 127 254 508 635 1270 2540 3175 6350 12700 16129 26669 32258 53338 64516 80645 106676 133345 161290 266690 322580 403225 533380 666725 806450 1333450 1612900 2666900 3386963 6773926 13547852 16934815 33869630 67739260 84674075 169348150 338696300 430144301 860288602 1720577204 2150721505 4301443010 8602886020 10753607525 21507215050 43014430100