Search a number
-
+
2104132242300 = 22352111667382493
BaseRepresentation
bin11110100111101000000…
…011100000101101111100
321110011010121000211222220
4132213220003200231330
5233433230323223200
64250343000205340
7305006233650144
oct36475003405574
97404117024886
102104132242300
117413a2883770
1229b965769850
1312355a1b77aa
1473baa649924
1539aeedb04a0
hex1e9e80e0b7c

2104132242300 has 144 divisors (see below), whose sum is σ = 6645407916672. Its totient is φ = 509785337600.

The previous prime is 2104132242299. The next prime is 2104132242307. The reversal of 2104132242300 is 32422314012.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2104132242307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5309854 + ... + 5692346.

It is an arithmetic number, because the mean of its divisors is an integer number (46148666088).

Almost surely, 22104132242300 is an apocalyptic number.

2104132242300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2104132242300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3322703958336).

2104132242300 is an abundant number, since it is smaller than the sum of its proper divisors (4541275674372).

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

2104132242300 is a wasteful number, since it uses less digits than its factorization.

2104132242300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384188 (or 384181 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2104132242300 its reverse (32422314012), we get a palindrome (2136554556312).

It can be divided in two parts, 2104132 and 242300, that added together give a palindrome (2346432).

The spelling of 2104132242300 in words is "two trillion, one hundred four billion, one hundred thirty-two million, two hundred forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 1667 3300 3334 5001 6668 8335 10002 16670 18337 20004 25005 33340 36674 41675 50010 55011 73348 83350 91685 100020 110022 125025 166700 183370 220044 250050 275055 366740 382493 458425 500100 550110 764986 916850 1100220 1147479 1375275 1529972 1833700 1912465 2294958 2750550 3824930 4207423 4589916 5501100 5737395 7649860 8414846 9562325 11474790 12622269 16829692 19124650 21037115 22949580 25244538 28686975 38249300 42074230 50489076 57373950 63111345 84148460 105185575 114747900 126222690 210371150 252445380 315556725 420742300 631113450 637615831 1262226900 1275231662 1912847493 2550463324 3188079155 3825694986 6376158310 7013774141 7651389972 9564237465 12752316620 14027548282 15940395775 19128474930 21041322423 28055096564 31880791550 35068870705 38256949860 42082644846 47821187325 63761583100 70137741410 84165289692 95642374650 105206612115 140275482820 175344353525 191284749300 210413224230 350688707050 420826448460 526033060575 701377414100 1052066121150 2104132242300