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120133221131 = 7111560171703
BaseRepresentation
bin110111111100001111…
…1110111101100001011
3102111002021211221112102
41233320133313230023
53432013101034011
6131104411504015
711452004350130
oct1577037675413
9374067757472
10120133221131
1146a48087130
121b34845800b
13b436990041
145b58d04587
1531d1a1d73b
hex1bf87f7b0b

120133221131 has 8 divisors (see below), whose sum is σ = 149776483584. Its totient is φ = 93610302120.

The previous prime is 120133221127. The next prime is 120133221157. The reversal of 120133221131 is 131122331021.

It is a happy number.

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 120133221131 - 22 = 120133221127 is a prime.

It is a super-3 number, since 3×1201332211313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (120133421131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 780085775 + ... + 780085928.

It is an arithmetic number, because the mean of its divisors is an integer number (18722060448).

Almost surely, 2120133221131 is an apocalyptic number.

120133221131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120133221131 is a deficient number, since it is larger than the sum of its proper divisors (29643262453).

120133221131 is a wasteful number, since it uses less digits than its factorization.

120133221131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560171721.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 120133221131 its reverse (131122331021), we get a palindrome (251255552152).

The spelling of 120133221131 in words is "one hundred twenty billion, one hundred thirty-three million, two hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 7 11 77 1560171703 10921201921 17161888733 120133221131