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120434144120131 = 3131485125908937
BaseRepresentation
bin11011011000100011000010…
…011000010000110101000011
3120210102101120120112102102011
4123120203002120100311003
5111241143111343321011
61104050403152033351
734240036235261002
oct3330430230206503
9523371516472364
10120434144120131
113541291970a406
1211610b3b232857
135227b7787229a
1421a5087bc8c39
15ddcb7d8ba621
hex6d88c2610d43

120434144120131 has 8 divisors (see below), whose sum is σ = 120827057813264. Its totient is φ = 120041282275200.

The previous prime is 120434144120113. The next prime is 120434144120179. The reversal of 120434144120131 is 131021441434021.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120434144120131 - 25 = 120434144120099 is a prime.

It is a super-2 number, since 2×1204341441201312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120434144120093 and 120434144120102.

It is not an unprimeable number, because it can be changed into a prime (120434144120831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8306106 + ... + 17602831.

It is an arithmetic number, because the mean of its divisors is an integer number (15103382226658).

Almost surely, 2120434144120131 is an apocalyptic number.

120434144120131 is a deficient number, since it is larger than the sum of its proper divisors (392913693133).

120434144120131 is a wasteful number, since it uses less digits than its factorization.

120434144120131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25924101.

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 120434144120131 its reverse (131021441434021), we get a palindrome (251455585554152).

The spelling of 120434144120131 in words is "one hundred twenty trillion, four hundred thirty-four billion, one hundred forty-four million, one hundred twenty thousand, one hundred thirty-one".

Divisors: 1 313 14851 4648363 25908937 8109497281 384773623387 120434144120131