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120114411343431 = 3281528172697701
BaseRepresentation
bin11011010011111001010000…
…110100100000111001000111
3120202021211021211220110212120
4123103321100310200321013
5111220423303300442211
61103243444313021023
734204660041436161
oct3323712064407107
9522254254813776
10120114411343431
11352aa26591099a
121157ab893b4773
13520398182ba5b
1421937d6081931
15dd46b8b77d06
hex6d3e50d20e47

120114411343431 has 16 divisors (see below), whose sum is σ = 160725588938208. Its totient is φ = 79789764992000.

The previous prime is 120114411343397. The next prime is 120114411343439. The reversal of 120114411343431 is 134343114411021.

It is a cyclic number.

It is not a de Polignac number, because 120114411343431 - 214 = 120114411327047 is a prime.

It is a super-2 number, since 2×1201144113434312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120114411343392 and 120114411343401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120114411343439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43175881 + ... + 45873581.

It is an arithmetic number, because the mean of its divisors is an integer number (10045349308638).

Almost surely, 2120114411343431 is an apocalyptic number.

120114411343431 is a deficient number, since it is larger than the sum of its proper divisors (40611177594777).

120114411343431 is a wasteful number, since it uses less digits than its factorization.

120114411343431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750802.

The product of its (nonzero) digits is 13824, while the sum is 33.

Adding to 120114411343431 its reverse (134343114411021), we get a palindrome (254457525754452).

The spelling of 120114411343431 in words is "one hundred twenty trillion, one hundred fourteen billion, four hundred eleven million, three hundred forty-three thousand, four hundred thirty-one".

Divisors: 1 3 281 843 52817 158451 2697701 8093103 14841577 44524731 758053981 2274161943 142484473717 427453421151 40038137114477 120114411343431