Search a number
-
+
104442131020 = 22517348716197
BaseRepresentation
bin110000101000100111…
…1000111001001001100
3100222120202021222102211
41201101033013021030
53202344141143040
6115551405200204
710355113315543
oct1412117071114
9328522258384
10104442131020
1140325950967
12182a9560064
139b05c04236
1450aadc515a
152ab41e68ea
hex18513c724c

104442131020 has 48 divisors (see below), whose sum is σ = 220677162048. Its totient is φ = 41520139520.

The previous prime is 104442130993. The next prime is 104442131069. The reversal of 104442131020 is 20131244401.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 104442130982 and 104442131000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16850562 + ... + 16856758.

It is an arithmetic number, because the mean of its divisors is an integer number (4597440876).

Almost surely, 2104442131020 is an apocalyptic number.

104442131020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104442131020 is an abundant number, since it is smaller than the sum of its proper divisors (116235031028).

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

104442131020 is a wasteful number, since it uses less digits than its factorization.

104442131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11250 (or 11248 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 104442131020 its reverse (20131244401), we get a palindrome (124573375421).

The spelling of 104442131020 in words is "one hundred four billion, four hundred forty-two million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 173 346 692 865 1730 3460 4871 6197 9742 12394 19484 24355 24788 30985 48710 61970 97420 123940 842683 1072081 1685366 2144162 3370732 4213415 4288324 5360405 8426830 10720810 16853660 21441620 30185587 60371174 120742348 150927935 301855870 603711740 5222106551 10444213102 20888426204 26110532755 52221065510 104442131020