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122114314244 = 221361149258373
BaseRepresentation
bin111000110111010010…
…1001001000000000100
3102200012100121220101102
41301232211021000010
54000042231023434
6132033141315232
711552051354606
oct1615645110004
9380170556342
10122114314244
114787438a76a
121b7bba05b18
13b6912476a0
145ca607b176
15329a8e907e
hex1c6e949004

122114314244 has 48 divisors (see below), whose sum is σ = 235482063600. Its totient is φ = 55064240640.

The previous prime is 122114314243. The next prime is 122114314261. The reversal of 122114314244 is 442413411221.

It can be written as a sum of positive squares in 8 ways, for example, as 65142352900 + 56971961344 = 255230^2 + 238688^2 .

It is not an unprimeable number, because it can be changed into a prime (122114314243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343442 + ... + 601814.

It is an arithmetic number, because the mean of its divisors is an integer number (4905876325).

Almost surely, 2122114314244 is an apocalyptic number.

It is an amenable number.

122114314244 is a deficient number, since it is larger than the sum of its proper divisors (113367749356).

122114314244 is a wasteful number, since it uses less digits than its factorization.

122114314244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258600 (or 258598 counting only the distinct ones).

The product of its digits is 6144, while the sum is 29.

Adding to 122114314244 its reverse (442413411221), we get a palindrome (564527725465).

The spelling of 122114314244 in words is "one hundred twenty-two billion, one hundred fourteen million, three hundred fourteen thousand, two hundred forty-four".

Divisors: 1 2 4 13 26 52 61 122 149 244 298 596 793 1586 1937 3172 3874 7748 9089 18178 36356 118157 236314 258373 472628 516746 1033492 3358849 6717698 13435396 15760753 31521506 38497577 63043012 76995154 153990308 204889789 409779578 500468501 819559156 1000937002 2001874004 2348352197 4696704394 9393408788 30528578561 61057157122 122114314244