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131133111233 = 257972152489
BaseRepresentation
bin111101000100000100…
…1000111101111000001
3110112110220002021000112
41322020021013233001
54122030034024413
6140124113401105
712321413024435
oct1721011075701
9415426067015
10131133111233
115068224a3a3
12214b8269195
13c49a879657
1464bdb869c5
15362758a2a8
hex1e88247bc1

131133111233 has 8 divisors (see below), whose sum is σ = 131659407240. Its totient is φ = 130606940160.

The previous prime is 131133111229. The next prime is 131133111257. The reversal of 131133111233 is 332111331131.

It can be written as a sum of positive squares in 4 ways, for example, as 6518463169 + 124614648064 = 80737^2 + 353008^2 .

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 131133111233 - 22 = 131133111229 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131133111199 and 131133111208.

It is not an unprimeable number, because it can be changed into a prime (131133111203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2472053 + ... + 2524541.

It is an arithmetic number, because the mean of its divisors is an integer number (16457425905).

Almost surely, 2131133111233 is an apocalyptic number.

It is an amenable number.

131133111233 is a deficient number, since it is larger than the sum of its proper divisors (526296007).

131133111233 is an equidigital number, since it uses as much as digits as its factorization.

131133111233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62467.

The product of its digits is 486, while the sum is 23.

Adding to 131133111233 its reverse (332111331131), we get a palindrome (463244442364).

The spelling of 131133111233 in words is "one hundred thirty-one billion, one hundred thirty-three million, one hundred eleven thousand, two hundred thirty-three".

Divisors: 1 257 9721 52489 2498297 13489673 510245569 131133111233