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104322214113200 = 2452569657769691
BaseRepresentation
bin10111101110000101101000…
…100000111010111110110000
3111200101002212110201010112022
4113232011220200322332300
5102133203343303110300
61005512544043251012
730655013501004326
oct2756055040727660
9450332773633468
10104322214113200
1130270891213086
12b84a416519a68
13462970907b355
141ba931764bd16
15c0d9d825d285
hex5ee16883afb0

104322214113200 has 120 divisors (see below), whose sum is σ = 251116379033520. Its totient is φ = 41648617267200.

The previous prime is 104322214113191. The next prime is 104322214113203. The reversal of 104322214113200 is 2311412223401.

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 104322214113200.

It is not an unprimeable number, because it can be changed into a prime (104322214113203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1496890355 + ... + 1496960045.

It is an arithmetic number, because the mean of its divisors is an integer number (2092636491946).

Almost surely, 2104322214113200 is an apocalyptic number.

104322214113200 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 104322214113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125558189516760).

104322214113200 is an abundant number, since it is smaller than the sum of its proper divisors (146794164920320).

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

104322214113200 is a wasteful number, since it uses less digits than its factorization.

104322214113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76855 (or 76844 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 104322214113200 its reverse (2311412223401), we get a palindrome (106633626336601).

The spelling of 104322214113200 in words is "one hundred four trillion, three hundred twenty-two billion, two hundred fourteen million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 569 1138 2276 2845 4552 5690 6577 9104 11380 13154 14225 22760 26308 28450 32885 45520 52616 56900 65770 69691 105232 113800 131540 139382 164425 227600 263080 278764 328850 348455 526160 557528 657700 696910 1115056 1315400 1393820 1742275 2630800 2787640 3484550 3742313 5575280 6969100 7484626 13938200 14969252 18711565 27876400 29938504 37423130 39654179 59877008 74846260 79308358 93557825 149692520 158616716 187115650 198270895 299385040 317233432 374231300 396541790 458357707 634466864 748462600 793083580 916715414 991354475 1496925200 1586167160 1833430828 1982708950 2291788535 3172334320 3666861656 3965417900 4583577070 7333723312 7930835800 9167154140 11458942675 15861671600 18334308280 22917885350 36668616560 45835770700 91671541400 183343082800 260805535283 521611070566 1043222141132 1304027676415 2086444282264 2608055352830 4172888564528 5216110705660 6520138382075 10432221411320 13040276764150 20864442822640 26080553528300 52161107056600 104322214113200