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120442133142441 = 32111216587203459
BaseRepresentation
bin11011011000101010011110…
…100011111101101110101001
3120210110011012100021210202100
4123120222132203331232221
5111241310442041024231
61104054204020324013
734240441223660145
oct3330523643755651
9523404170253670
10120442133142441
113541624926a090
12116125aa843609
13522884ba40816
1421a5604c36225
15ddce99e481e6
hex6d8a9e8fdba9

120442133142441 has 12 divisors (see below), whose sum is σ = 189787603739760. Its totient is φ = 72995232207480.

The previous prime is 120442133142433. The next prime is 120442133142449. The reversal of 120442133142441 is 144241331244021.

120442133142441 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 42 + 1 + 33 + 142 + 441 = 666.

It is an interprime number because it is at equal distance from previous prime (120442133142433) and next prime (120442133142449).

It is not a de Polignac number, because 120442133142441 - 23 = 120442133142433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120442133142396 and 120442133142405.

It is not an unprimeable number, because it can be changed into a prime (120442133142449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 608293601631 + ... + 608293601828.

It is an arithmetic number, because the mean of its divisors is an integer number (15815633644980).

Almost surely, 2120442133142441 is an apocalyptic number.

120442133142441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120442133142441 is a deficient number, since it is larger than the sum of its proper divisors (69345470597319).

120442133142441 is a wasteful number, since it uses less digits than its factorization.

120442133142441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216587203476 (or 1216587203473 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 120442133142441 its reverse (144241331244021), we get a palindrome (264683464386462).

The spelling of 120442133142441 in words is "one hundred twenty trillion, four hundred forty-two billion, one hundred thirty-three million, one hundred forty-two thousand, four hundred forty-one".

Divisors: 1 3 9 11 33 99 1216587203459 3649761610377 10949284831131 13382459238049 40147377714147 120442133142441