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104431240200 = 23352723552083
BaseRepresentation
bin110000101000010010…
…1100100010000001000
3100222112222210200001010
41201100211210100020
53202333344141300
6115550335523520
710354621616100
oct1412045442010
9328488720033
10104431240200
114031a792491
12182a59895a0
139b03890071
1450a978c200
152ab3294a50
hex1850964408

104431240200 has 144 divisors (see below), whose sum is σ = 376591945680. Its totient is φ = 23869991040.

The previous prime is 104431240153. The next prime is 104431240201. The reversal of 104431240200 is 2042134401.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (104431240201) 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 35 ways as a sum of consecutive naturals, for example, 1746642 + ... + 1805441.

It is an arithmetic number, because the mean of its divisors is an integer number (2615221845).

Almost surely, 2104431240200 is an apocalyptic number.

104431240200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104431240200 is an abundant number, since it is smaller than the sum of its proper divisors (272160705480).

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

104431240200 is a wasteful number, since it uses less digits than its factorization.

104431240200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3552116 (or 3552100 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 104431240200 its reverse (2042134401), we get a palindrome (106473374601).

The spelling of 104431240200 in words is "one hundred four billion, four hundred thirty-one million, two hundred forty thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 49 50 56 60 70 75 84 98 100 105 120 140 147 150 168 175 196 200 210 245 280 294 300 350 392 420 490 525 588 600 700 735 840 980 1050 1176 1225 1400 1470 1960 2100 2450 2940 3675 4200 4900 5880 7350 9800 14700 29400 3552083 7104166 10656249 14208332 17760415 21312498 24864581 28416664 35520830 42624996 49729162 53281245 71041660 74593743 85249992 88802075 99458324 106562490 124322905 142083320 149187486 174052067 177604150 198916648 213124980 248645810 266406225 298374972 348104134 355208300 372968715 426249960 497291620 522156201 532812450 596749944 621614525 696208268 710416600 745937430 870260335 994583240 1044312402 1065624900 1243229050 1392416536 1491874860 1740520670 1864843575 2088624804 2131249800 2486458100 2610781005 2983749720 3481041340 3729687150 4177249608 4351301675 4972916200 5221562010 6962082680 7459374300 8702603350 10443124020 13053905025 14918748600 17405206700 20886248040 26107810050 34810413400 52215620100 104431240200