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131133332033 = 1137322194919
BaseRepresentation
bin111101000100000100…
…1111101101001000001
3110112110220111110220022
41322020021331221001
54122030113111113
6140124122223225
712321414634244
oct1721011755101
9415426443808
10131133332033
1150682390280
12214b8354b15
13c49a925cc2
1464bdc0325b
1536275d0908
hex1e8827da41

131133332033 has 8 divisors (see below), whose sum is σ = 146920883520. Its totient is φ = 115990170480.

The previous prime is 131133332027. The next prime is 131133332051. The reversal of 131133332033 is 330233331131.

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 131133332033 - 26 = 131133331969 is a prime.

It is a super-3 number, since 3×1311333320333 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131133331993 and 131133332011.

It is not an unprimeable number, because it can be changed into a prime (131133332063) 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, 161097053 + ... + 161097866.

It is an arithmetic number, because the mean of its divisors is an integer number (18365110440).

Almost surely, 2131133332033 is an apocalyptic number.

It is an amenable number.

131133332033 is a deficient number, since it is larger than the sum of its proper divisors (15787551487).

131133332033 is a wasteful number, since it uses less digits than its factorization.

131133332033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322194967.

The product of its (nonzero) digits is 4374, while the sum is 26.

Adding to 131133332033 its reverse (330233331131), we get a palindrome (461366663164).

The spelling of 131133332033 in words is "one hundred thirty-one billion, one hundred thirty-three million, three hundred thirty-two thousand, thirty-three".

Divisors: 1 11 37 407 322194919 3544144109 11921212003 131133332033