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122321230112313 = 32181137354690289
BaseRepresentation
bin11011110100000000100001…
…011110000010011000111001
3121001002210110211202100202200
4123310000201132002120321
5112013102334402043223
61112053333010020413
734523263053454011
oct3364004136023071
9531083424670680
10122321230112313
1135a80162543961
1211876810577709
135333ac4ca2b7b
14222c544474c41
15e21cc8a45a43
hex6f4021782639

122321230112313 has 24 divisors (see below), whose sum is σ = 177791788716360. Its totient is φ = 81037881146880.

The previous prime is 122321230112309. The next prime is 122321230112327. The reversal of 122321230112313 is 313211032123221.

122321230112313 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 2 + 1 + 230 + 112 + 313 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5375757570624 + 116945472541689 = 2318568^2 + 10814133^2 .

It is not a de Polignac number, because 122321230112313 - 22 = 122321230112309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122321230112363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25108528 + ... + 29581761.

It is an arithmetic number, because the mean of its divisors is an integer number (7407991196515).

Almost surely, 2122321230112313 is an apocalyptic number.

It is an amenable number.

122321230112313 is a deficient number, since it is larger than the sum of its proper divisors (55470558604047).

122321230112313 is a wasteful number, since it uses less digits than its factorization.

122321230112313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54691849 (or 54691846 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 122321230112313 its reverse (313211032123221), we get a palindrome (435532262235534).

The spelling of 122321230112313 in words is "one hundred twenty-two trillion, three hundred twenty-one billion, two hundred thirty million, one hundred twelve thousand, three hundred thirteen".

Divisors: 1 3 9 181 543 1373 1629 4119 12357 248513 745539 2236617 54690289 164070867 492212601 9898942309 29696826927 75089766797 89090480781 225269300391 675807901173 13591247790257 40773743370771 122321230112313