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122321000034 = 23210333657661
BaseRepresentation
bin111000111101011100…
…1100101011001100010
3102200201202112121222200
41301322321211121202
54001003134000114
6132105443314030
711560141226232
oct1617271453142
9380652477880
10122321000034
1147970019872
121b85907b916
13b6c5002b7c
145cc56bdcc2
1532adb24409
hex1c7ae65662

122321000034 has 24 divisors (see below), whose sum is σ = 265054885212. Its totient is φ = 40769658720.

The previous prime is 122321000023. The next prime is 122321000057. The reversal of 122321000034 is 430000123221.

It can be written as a sum of positive squares in 2 ways, for example, as 110819081025 + 11501919009 = 332895^2 + 107247^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122320999980 and 122321000016.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142837 + ... + 514824.

Almost surely, 2122321000034 is an apocalyptic number.

122321000034 is an abundant number, since it is smaller than the sum of its proper divisors (142733885178).

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

122321000034 is a wasteful number, since it uses less digits than its factorization.

122321000034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668002 (or 667999 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 122321000034 its reverse (430000123221), we get a palindrome (552321123255).

The spelling of 122321000034 in words is "one hundred twenty-two billion, three hundred twenty-one million, thirty-four", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 10333 20666 30999 61998 92997 185994 657661 1315322 1972983 3945966 5918949 11837898 6795611113 13591222226 20386833339 40773666678 61160500017 122321000034