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104224332323000 = 2353233604773973
BaseRepresentation
bin10111101100101010011110…
…010011100001100010111000
3111200000202012220211222212102
4113230222132103201202320
5102130102413033314000
61005355555225002532
730644650054344521
oct2754523623414270
9450022186758772
10104224332323000
113023332252339a
12b83345a023448
13462040a3640b6
141ba46ada57848
15c0b1a9e863d5
hex5eca9e4e18b8

104224332323000 has 128 divisors (see below), whose sum is σ = 244975470405120. Its totient is φ = 41503381273600.

The previous prime is 104224332322973. The next prime is 104224332323009. The reversal of 104224332323000 is 323233422401.

It is a super-2 number, since 2×1042243323230002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104224332323009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1408914014 + ... + 1408987986.

It is an arithmetic number, because the mean of its divisors is an integer number (1913870862540).

Almost surely, 2104224332323000 is an apocalyptic number.

104224332323000 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 104224332323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122487735202560).

104224332323000 is an abundant number, since it is smaller than the sum of its proper divisors (140751138082120).

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

104224332323000 is a wasteful number, since it uses less digits than its factorization.

104224332323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80274 (or 80260 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 104224332323000 its reverse (323233422401), we get a palindrome (104547565745401).

The spelling of 104224332323000 in words is "one hundred four trillion, two hundred twenty-four billion, three hundred thirty-two million, three hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 233 250 466 500 932 1000 1165 1864 2330 4660 5825 6047 9320 11650 12094 23300 24188 29125 30235 46600 48376 58250 60470 73973 116500 120940 147946 151175 233000 241880 295892 302350 369865 591784 604700 739730 755875 1209400 1408951 1479460 1511750 1849325 2817902 2958920 3023500 3698650 5635804 6047000 7044755 7397300 9246625 11271608 14089510 14794600 17235709 18493250 28179020 34471418 35223775 36986500 56358040 68942836 70447550 73973000 86178545 137885672 140895100 172357090 176118875 281790200 344714180 352237750 430892725 447314731 689428360 704475500 861785450 894629462 1408951000 1723570900 1789258924 2154463625 2236573655 3447141800 3578517848 4308927250 4473147310 8617854500 8946294620 11182868275 17235709000 17892589240 22365736550 44731473100 55914341375 89462946200 104224332323 111828682750 208448664646 223657365500 416897329292 447314731000 521121661615 833794658584 1042243323230 2084486646460 2605608308075 4168973292920 5211216616150 10422433232300 13028041540375 20844866464600 26056083080750 52112166161500 104224332323000