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104201434100 = 22522935931529
BaseRepresentation
bin110000100001011100…
…0111011001111110100
3100221221222101022100002
41201002320323033310
53201401031342400
6115511450210432
710346131401341
oct1410270731764
9327858338302
10104201434100
1140211aa1795
1218240a23a18
139a9809b11a
14508704b7c8
152a9ceeded5
hex1842e3b3f4

104201434100 has 36 divisors (see below), whose sum is σ = 233914260300. Its totient is φ = 40243311360.

The previous prime is 104201434093. The next prime is 104201434157. The reversal of 104201434100 is 1434102401.

It can be written as a sum of positive squares in 6 ways, for example, as 437562724 + 103763871376 = 20918^2 + 322124^2 .

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17962865 + ... + 17968664.

Almost surely, 2104201434100 is an apocalyptic number.

104201434100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104201434100 is an abundant number, since it is smaller than the sum of its proper divisors (129712826200).

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

104201434100 is a wasteful number, since it uses less digits than its factorization.

104201434100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35931572 (or 35931565 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 104201434100 its reverse (1434102401), we get a palindrome (105635536501).

The spelling of 104201434100 in words is "one hundred four billion, two hundred one million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 35931529 71863058 143726116 179657645 359315290 718630580 898288225 1042014341 1796576450 2084028682 3593152900 4168057364 5210071705 10420143410 20840286820 26050358525 52100717050 104201434100