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104333431400 = 235211199238313
BaseRepresentation
bin110000100101011000…
…0011101001001101000
3100222022011202110120222
41201022300131021220
53202133324301100
6115532523305212
710352323351202
oct1411260351150
9328264673528
10104333431400
114027a558270
121827907b208
139ab9535a33
14509a7ab772
152aa98c4485
hex184ac1d268

104333431400 has 96 divisors (see below), whose sum is σ = 265958424000. Its totient is φ = 37748620800.

The previous prime is 104333431387. The next prime is 104333431459. The reversal of 104333431400 is 4134333401.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 104333431400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318644 + ... + 556956.

It is an arithmetic number, because the mean of its divisors is an integer number (2770400250).

Almost surely, 2104333431400 is an apocalyptic number.

104333431400 is a gapful number since it is divisible by the number (10) 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 104333431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132979212000).

104333431400 is an abundant number, since it is smaller than the sum of its proper divisors (161624992600).

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

104333431400 is a wasteful number, since it uses less digits than its factorization.

104333431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238539 (or 238530 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 104333431400 its reverse (4134333401), we get a palindrome (108467764801).

The spelling of 104333431400 in words is "one hundred four billion, three hundred thirty-three million, four hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 199 200 220 275 398 440 550 796 995 1100 1592 1990 2189 2200 3980 4378 4975 7960 8756 9950 10945 17512 19900 21890 39800 43780 54725 87560 109450 218900 238313 437800 476626 953252 1191565 1906504 2383130 2621443 4766260 5242886 5957825 9532520 10485772 11915650 13107215 20971544 23831300 26214430 47424287 47662600 52428860 65536075 94848574 104857720 131072150 189697148 237121435 262144300 379394296 474242870 521667157 524288600 948485740 1043334314 1185607175 1896971480 2086668628 2371214350 2608335785 4173337256 4742428700 5216671570 9484857400 10433343140 13041678925 20866686280 26083357850 52166715700 104333431400