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123144134220341 = 1337599834414313
BaseRepresentation
bin11011111111111110111010…
…011000000101101000110101
3121011000110112110000100021122
4123333332322120011220311
5112120043141330022331
61113523345000553325
734636604305123133
oct3377767230055065
9534013473010248
10123144134220341
1136268152451a53
121198a1a9482845
1353935991a5990
14225a2ca686753
15e383dca0517b
hex6fffba605a35

123144134220341 has 32 divisors (see below), whose sum is σ = 138650424433920. Its totient is φ = 108614111445504.

The previous prime is 123144134220271. The next prime is 123144134220361. The reversal of 123144134220341 is 143022431441321.

It is a cyclic number.

It is not a de Polignac number, because 123144134220341 - 214 = 123144134203957 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 (123144134220361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25689401 + ... + 30103713.

It is an arithmetic number, because the mean of its divisors is an integer number (4332825763560).

Almost surely, 2123144134220341 is an apocalyptic number.

It is an amenable number.

123144134220341 is a deficient number, since it is larger than the sum of its proper divisors (15506290213579).

123144134220341 is a wasteful number, since it uses less digits than its factorization.

123144134220341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4415405.

The product of its (nonzero) digits is 55296, while the sum is 35.

Adding to 123144134220341 its reverse (143022431441321), we get a palindrome (266166565661662).

The spelling of 123144134220341 in words is "one hundred twenty-three trillion, one hundred forty-four billion, one hundred thirty-four million, two hundred twenty thousand, three hundred forty-one".

Divisors: 1 13 37 59 481 767 983 2183 12779 28379 36371 57997 472823 753961 2145889 4414313 27896557 57386069 163329581 260444467 2123284553 3385778071 4339269679 9636445279 56410505827 125273788627 160552978123 256016911061 2087188715599 3328219843793 9472625709257 123144134220341