Search a number
-
+
39033011221100 = 225213124097241951
BaseRepresentation
bin10001110000000000101001…
…10001001011001001101100
312010012112000122221100222222
420320000110301023021230
520104004101333033400
6215003303502454512
711136020256042551
oct1070002461131154
9163175018840888
1039033011221100
1111489897278196
124464a38594438
1318a1a494a6b60
1498d2ca3a4a28
1547a51163d185
hex238014c4b26c

39033011221100 has 72 divisors (see below), whose sum is σ = 91218256741248. Its totient is φ = 14412013056000.

The previous prime is 39033011221069. The next prime is 39033011221117. The reversal of 39033011221100 is 112211033093.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 39033011221100.

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 23 ways as a sum of consecutive naturals, for example, 161205125 + ... + 161447075.

Almost surely, 239033011221100 is an apocalyptic number.

It is an amenable number.

39033011221100 is an abundant number, since it is smaller than the sum of its proper divisors (52185245520148).

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

39033011221100 is a wasteful number, since it uses less digits than its factorization.

39033011221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366075 (or 366068 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

Adding to 39033011221100 its reverse (112211033093), we get a palindrome (39145222254193).

The spelling of 39033011221100 in words is "thirty-nine trillion, thirty-three billion, eleven million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 124097 241951 248194 483902 496388 620485 967804 1209755 1240970 1613261 2419510 2481940 3102425 3145363 3226522 4839020 6048775 6204850 6290726 6453044 8066305 12097550 12409700 12581452 15726815 16132610 24195100 31453630 32265220 40331525 62907260 78634075 80663050 157268150 161326100 314536300 30025393247 60050786494 120101572988 150126966235 300253932470 390330112211 600507864940 750634831175 780660224422 1501269662350 1561320448844 1951650561055 3002539324700 3903301122110 7806602244220 9758252805275 19516505610550 39033011221100