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122341000133 = 11192926975037
BaseRepresentation
bin111000111110000010…
…1111000001111000101
3102200210011011201222002
41301330011320033011
54001023244001013
6132111440115045
711560503225452
oct1617405701705
9380704151862
10122341000133
114798033a180
121b863905a85
13b6c91b6351
145cc8208829
1532b0775358
hex1c7c1783c5

122341000133 has 32 divisors (see below), whose sum is σ = 145873872000. Its totient is φ = 101352625920.

The previous prime is 122341000097. The next prime is 122341000139. The reversal of 122341000133 is 331000143221.

It is a cyclic number.

It is not a de Polignac number, because 122341000133 - 230 = 121267258309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122341000139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1592891 + ... + 1667927.

It is an arithmetic number, because the mean of its divisors is an integer number (4558558500).

Almost surely, 2122341000133 is an apocalyptic number.

It is an amenable number.

122341000133 is a deficient number, since it is larger than the sum of its proper divisors (23532871867).

122341000133 is a wasteful number, since it uses less digits than its factorization.

122341000133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75365.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 122341000133 its reverse (331000143221), we get a palindrome (453341143354).

The spelling of 122341000133 in words is "one hundred twenty-two billion, three hundred forty-one million, one hundred thirty-three", and thus it is an aban number.

Divisors: 1 11 19 29 209 269 319 551 2959 5111 6061 7801 56221 75037 85811 148219 825407 1425703 1630409 2176073 15682733 20184953 23936803 41345387 222034483 383514107 454799257 585363637 4218655177 6439000007 11121909103 122341000133