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122302133122 = 2134361229399
BaseRepresentation
bin111000111100111000…
…1100111001110000010
3102200200110001002110011
41301321301213032002
54000433321224442
6132103531055134
711556521656531
oct1617161471602
9380613032404
10122302133122
1147960402884
121b8528a14aa
13b6c1128410
145cc2dac318
1532ac149117
hex1c79c67382

122302133122 has 48 divisors (see below), whose sum is σ = 205534929600. Its totient is φ = 54228726720.

The previous prime is 122302133113. The next prime is 122302133123. The reversal of 122302133122 is 221331203221.

It is a junction number, because it is equal to n+sod(n) for n = 122302133093 and 122302133102.

It is not an unprimeable number, because it can be changed into a prime (122302133123) 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 23 ways as a sum of consecutive naturals, for example, 4145379 + ... + 4174777.

It is an arithmetic number, because the mean of its divisors is an integer number (4281977700).

Almost surely, 2122302133122 is an apocalyptic number.

122302133122 is a deficient number, since it is larger than the sum of its proper divisors (83232796478).

122302133122 is a wasteful number, since it uses less digits than its factorization.

122302133122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29579 (or 29518 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 122302133122 its reverse (221331203221), we get a palindrome (343633336343).

The spelling of 122302133122 in words is "one hundred twenty-two billion, three hundred two million, one hundred thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 13 26 43 61 86 122 559 793 1118 1586 2623 3721 5246 7442 29399 34099 48373 58798 68198 96746 160003 320006 382187 764374 1264157 1793339 2080039 2528314 3586678 4160078 16434041 23313407 32868082 46626814 77113577 109393679 154227154 218787358 1002476501 1422117827 2004953002 2844235654 4703928197 9407856394 61151066561 122302133122