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131133230431 = 7372417209477
BaseRepresentation
bin111101000100000100…
…1100100110101011111
3110112110220022022112021
41322020021210311133
54122030101333211
6140124120121011
712321414032110
oct1721011446537
9415426268467
10131133230431
1150682320a05
12214b8306167
13c49a8bb998
1464bdbb8207
1536275b0771
hex1e88264d5f

131133230431 has 16 divisors (see below), whose sum is σ = 153981412416. Its totient is φ = 109316307456.

The previous prime is 131133230407. The next prime is 131133230453. The reversal of 131133230431 is 134032331131.

It is a cyclic number.

It is not a de Polignac number, because 131133230431 - 223 = 131124841823 is a prime.

It is a super-2 number, since 2×1311332304312 (a number of 23 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 = 131133230396 and 131133230405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131133230401) 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 15 ways as a sum of consecutive naturals, for example, 521265 + ... + 730741.

It is an arithmetic number, because the mean of its divisors is an integer number (9623838276).

Almost surely, 2131133230431 is an apocalyptic number.

131133230431 is a deficient number, since it is larger than the sum of its proper divisors (22848181985).

131133230431 is a wasteful number, since it uses less digits than its factorization.

131133230431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211938.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 131133230431 its reverse (134032331131), we get a palindrome (265165561562).

The spelling of 131133230431 in words is "one hundred thirty-one billion, one hundred thirty-three million, two hundred thirty thousand, four hundred thirty-one".

Divisors: 1 7 37 259 2417 16919 89429 209477 626003 1466339 7750649 54254543 506305909 3544141363 18733318633 131133230431