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122000102110000 = 245479154430509
BaseRepresentation
bin11011101111010101011100…
…101111111011001100110000
3120222222002120212202121111101
4123233111130233323030300
5111442322202120010000
61111250023450254144
734461134155463062
oct3357253457731460
9528862525677441
10122000102110000
1135966a53117824
121182452b427354
13530c738b9305a
14221ab9d2dd732
15e187815a2e6a
hex6ef55cbfb330

122000102110000 has 100 divisors (see below), whose sum is σ = 299113366208800. Its totient is φ = 48182318496000.

The previous prime is 122000102109989. The next prime is 122000102110037. The reversal of 122000102110000 is 11201000221.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 76425255 + ... + 78005254.

It is an arithmetic number, because the mean of its divisors is an integer number (2991133662088).

Almost surely, 2122000102110000 is an apocalyptic number.

122000102110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122000102110000 is an abundant number, since it is smaller than the sum of its proper divisors (177113264098800).

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

122000102110000 is an equidigital number, since it uses as much as digits as its factorization.

122000102110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154430616 (or 154430595 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 122000102110000 its reverse (11201000221), we get a palindrome (122011303110221).

The spelling of 122000102110000 in words is "one hundred twenty-two trillion, one hundred two million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 79 80 100 125 158 200 250 316 395 400 500 625 632 790 1000 1250 1264 1580 1975 2000 2500 3160 3950 5000 6320 7900 9875 10000 15800 19750 31600 39500 49375 79000 98750 158000 197500 395000 790000 154430509 308861018 617722036 772152545 1235444072 1544305090 2470888144 3088610180 3860762725 6177220360 7721525450 12200010211 12354440720 15443050900 19303813625 24400020422 30886101800 38607627250 48800040844 61000051055 61772203600 77215254500 96519068125 97600081688 122000102110 154430509000 193038136250 195200163376 244000204220 305000255275 308861018000 386076272500 488000408440 610000510550 772152545000 976000816880 1220001021100 1525001276375 1544305090000 2440002042200 3050002552750 4880004084400 6100005105500 7625006381875 12200010211000 15250012763750 24400020422000 30500025527500 61000051055000 122000102110000