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131130412331 = 19314710514507
BaseRepresentation
bin111101000011111111…
…0110100110100101011
3110112110201000010211012
41322013332310310223
54122023341143311
6140123535454135
712321351054062
oct1720776646453
9415421003735
10131130412331
11506807766a6
12214b738734b
13c49a143079
1464bd6831d9
15362720578b
hex1e87fb4d2b

131130412331 has 32 divisors (see below), whose sum is σ = 145687019520. Its totient is φ = 117525492000.

The previous prime is 131130412321. The next prime is 131130412333. The reversal of 131130412331 is 133214031131.

It is a cyclic number.

It is not a de Polignac number, because 131130412331 - 214 = 131130395947 is a prime.

It is a super-2 number, since 2×1311304123312 (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 = 131130412297 and 131130412306.

It is not an unprimeable number, because it can be changed into a prime (131130412333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29092580 + ... + 29097086.

It is an arithmetic number, because the mean of its divisors is an integer number (4552719360).

Almost surely, 2131130412331 is an apocalyptic number.

131130412331 is a deficient number, since it is larger than the sum of its proper divisors (14556607189).

131130412331 is a wasteful number, since it uses less digits than its factorization.

131130412331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5655.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 131130412331 its reverse (133214031131), we get a palindrome (264344443462).

The spelling of 131130412331 in words is "one hundred thirty-one billion, one hundred thirty million, four hundred twelve thousand, three hundred thirty-one".

Divisors: 1 19 31 47 589 893 1051 1457 4507 19969 27683 32581 49397 85633 139717 211829 619039 938543 1531307 2654623 4024751 4736857 6566699 29094833 90000283 124767281 146842567 222632279 2790008773 4230013301 6901600649 131130412331