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122144305325 = 5272894672399
BaseRepresentation
bin111000111000001011…
…1100011000010101101
3102200021110001121102012
41301300113203002231
54000122420232300
6132040132211005
711552564315300
oct1616027430255
9380243047365
10122144305325
114788a304489
121b809a69a65
13b6975185a3
145caa046b37
15329d370435
hex1c705e30ad

122144305325 has 72 divisors (see below), whose sum is σ = 178622496000. Its totient is φ = 82603234560.

The previous prime is 122144305319. The next prime is 122144305337. The reversal of 122144305325 is 523503441221.

It is not a de Polignac number, because 122144305325 - 28 = 122144305069 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122144305291 and 122144305300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50913476 + ... + 50915874.

It is an arithmetic number, because the mean of its divisors is an integer number (2480868000).

Almost surely, 2122144305325 is an apocalyptic number.

It is an amenable number.

122144305325 is a deficient number, since it is larger than the sum of its proper divisors (56478190675).

122144305325 is a wasteful number, since it uses less digits than its factorization.

122144305325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2979 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 122144305325 its reverse (523503441221), we get a palindrome (645647746546).

The spelling of 122144305325 in words is "one hundred twenty-two billion, one hundred forty-four million, three hundred five thousand, three hundred twenty-five".

Divisors: 1 5 7 25 35 49 89 175 245 445 467 623 1225 2225 2335 2399 3115 3269 4361 11675 11995 15575 16345 16793 21805 22883 41563 59975 81725 83965 109025 114415 117551 207815 213511 290941 419825 572075 587755 1039075 1067555 1120333 1454705 1494577 2036587 2938775 5337775 5601665 7273525 7472885 7842331 10182935 10462039 28008325 37364425 39211655 50914675 52310195 54896317 99709637 196058275 261550975 274481585 498548185 697967459 1372407925 2492740925 3489837295 4885772213 17449186475 24428861065 122144305325