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104012323400 = 235221111812087
BaseRepresentation
bin110000011011110011…
…1100001101001001000
3100221110210112111020002
41200313213201221020
53201004123322100
6115441013022132
710341344106236
oct1406747415110
9327423474202
10104012323400
1140125277057
12181a9624948
139a67b573bb
145069ca1956
152a8b5e62d5
hex18379e1a48

104012323400 has 96 divisors (see below), whose sum is σ = 243297017280. Its totient is φ = 41352864000.

The previous prime is 104012323361. The next prime is 104012323403. The reversal of 104012323400 is 4323210401.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (104012323403) by changing a digit.

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, 49837157 + ... + 49839243.

It is an arithmetic number, because the mean of its divisors is an integer number (2534343930).

Almost surely, 2104012323400 is an apocalyptic number.

104012323400 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 104012323400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121648508640).

104012323400 is an abundant number, since it is smaller than the sum of its proper divisors (139284693880).

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

104012323400 is a wasteful number, since it uses less digits than its factorization.

104012323400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3495 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 104012323400 its reverse (4323210401), we get a palindrome (108335533801).

The spelling of 104012323400 in words is "one hundred four billion, twelve million, three hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 211 422 844 1055 1181 1688 2087 2110 2362 4174 4220 4724 5275 5905 8348 8440 9448 10435 10550 11810 16696 20870 21100 23620 29525 41740 42200 47240 52175 59050 83480 104350 118100 208700 236200 249191 417400 440357 498382 880714 996764 1245955 1761428 1993528 2201785 2464747 2491910 3522856 4403570 4929494 4983820 6229775 8807140 9858988 9967640 11008925 12323735 12459550 17614280 19717976 22017850 24647470 24919100 44035700 49294940 49838200 61618675 88071400 98589880 123237350 246474700 492949400 520061617 1040123234 2080246468 2600308085 4160492936 5200616170 10401232340 13001540425 20802464680 26003080850 52006161700 104012323400