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122320000000100 = 225271271455194559
BaseRepresentation
bin11011110011111111011000…
…001001100010000001100100
3121001002200022010002012001002
4123303333120021202001210
5112013042330000000400
61112053010544252432
734523220425622020
oct3363773011420144
9531080263065032
10122320000000100
1135a7a6911403a1
1211876528611118
13533395a197616
14222c468d47380
15e21c55a5ced5
hex6f3fd8262064

122320000000100 has 144 divisors (see below), whose sum is σ = 305766456360960. Its totient is φ = 41604763536000.

The previous prime is 122320000000057. The next prime is 122320000000151. The reversal of 122320000000100 is 1000000023221.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1293536621 + ... + 1293631179.

Almost surely, 2122320000000100 is an apocalyptic number.

122320000000100 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 122320000000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152883228180480).

122320000000100 is an abundant number, since it is smaller than the sum of its proper divisors (183446456360860).

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

122320000000100 is a wasteful number, since it uses less digits than its factorization.

122320000000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109258 (or 109251 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 122320000000100 its reverse (1000000023221), we get a palindrome (123320000023321).

The spelling of 122320000000100 in words is "one hundred twenty-two trillion, three hundred twenty billion, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 127 140 175 254 350 508 635 700 889 1270 1778 2540 3175 3556 4445 6350 8890 12700 14551 17780 22225 29102 44450 58204 72755 88900 94559 101857 145510 189118 203714 291020 363775 378236 407428 472795 509285 661913 727550 945590 1018570 1323826 1455100 1847977 1891180 2037140 2363975 2546425 2647652 3309565 3695954 4727950 5092850 6619130 7391908 9239885 9455900 10185700 12008993 12935839 13238260 16547825 18479770 24017986 25871678 33095650 36959540 46199425 48035972 51743356 60044965 64679195 66191300 84062951 92398850 120089930 129358390 168125902 184797700 240179860 258716780 300224825 323395975 336251804 420314755 600449650 646791950 840629510 1200899300 1293583900 1375928009 1681259020 2101573775 2751856018 4203147550 5503712036 6879640045 8406295100 9631496063 13759280090 19262992126 27518560180 34398200225 38525984252 48157480315 68796400450 96314960630 137592800900 174742857143 192629921260 240787401575 349485714286 481574803150 698971428572 873714285715 963149606300 1223200000001 1747428571430 2446400000002 3494857142860 4368571428575 4892800000004 6116000000005 8737142857150 12232000000010 17474285714300 24464000000020 30580000000025 61160000000050 122320000000100