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104132333400 = 23352523331843
BaseRepresentation
bin110000011111011000…
…1010100111101011000
3100221210011100121222220
41200332301110331120
53201230334132100
6115500541144040
710344332141514
oct1407661247530
9327704317886
10104132333400
1140186a95377
121822185b020
139a86985a34
14507bbc1144
152a96deeaa0
hex183ec54f58

104132333400 has 96 divisors (see below), whose sum is σ = 323428436160. Its totient is φ = 27715443840.

The previous prime is 104132333387. The next prime is 104132333423. The reversal of 104132333400 is 4333231401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147879 + ... + 479721.

It is an arithmetic number, because the mean of its divisors is an integer number (3369046210).

Almost surely, 2104132333400 is an apocalyptic number.

104132333400 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 104132333400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161714218080).

104132333400 is an abundant number, since it is smaller than the sum of its proper divisors (219296102760).

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

104132333400 is a wasteful number, since it uses less digits than its factorization.

104132333400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332385 (or 332376 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 104132333400 its reverse (4333231401), we get a palindrome (108465564801).

The spelling of 104132333400 in words is "one hundred four billion, one hundred thirty-two million, three hundred thirty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 523 600 1046 1569 2092 2615 3138 4184 5230 6276 7845 10460 12552 13075 15690 20920 26150 31380 39225 52300 62760 78450 104600 156900 313800 331843 663686 995529 1327372 1659215 1991058 2654744 3318430 3982116 4977645 6636860 7964232 8296075 9955290 13273720 16592150 19910580 24888225 33184300 39821160 49776450 66368600 99552900 173553889 199105800 347107778 520661667 694215556 867769445 1041323334 1388431112 1735538890 2082646668 2603308335 3471077780 4165293336 4338847225 5206616670 6942155560 8677694450 10413233340 13016541675 17355388900 20826466680 26033083350 34710777800 52066166700 104132333400