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130434433230311 = 797389665974159
BaseRepresentation
bin11101101010000100100010…
…000011110010010111100111
3122002211102001220202222211222
4131222010202003302113213
5114044014204401332221
61141224430145450555
736321401564221160
oct3552044203622747
9562742056688758
10130434433230311
1138618a2915a161
1212767097940a5b
1357a1bb6884a02
14242d0bb494767
151012d73dba9ab
hex76a1220f25e7

130434433230311 has 32 divisors (see below), whose sum is σ = 151016576256000. Its totient is φ = 110345851026432.

The previous prime is 130434433230301. The next prime is 130434433230317. The reversal of 130434433230311 is 113032334434031.

It is a happy number.

It is not a de Polignac number, because 130434433230311 - 246 = 60065689052647 is a prime.

It is a super-2 number, since 2×1304344332303112 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130434433230317) 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, 1758811250 + ... + 1758885408.

It is an arithmetic number, because the mean of its divisors is an integer number (4719268008000).

Almost surely, 2130434433230311 is an apocalyptic number.

130434433230311 is a deficient number, since it is larger than the sum of its proper divisors (20582143025689).

130434433230311 is an equidigital number, since it uses as much as digits as its factorization.

130434433230311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81311.

The product of its (nonzero) digits is 93312, while the sum is 35.

Adding to 130434433230311 its reverse (113032334434031), we get a palindrome (243466767664342).

The spelling of 130434433230311 in words is "one hundred thirty trillion, four hundred thirty-four billion, four hundred thirty-three million, two hundred thirty thousand, three hundred eleven".

Divisors: 1 7 97 389 679 2723 6659 37733 46613 74159 264131 519113 645923 2590351 4521461 7193423 18132457 28847851 50353961 201934957 251264047 493824781 1758848329 2798241547 3456773467 19587690829 47901003757 192097839809 335307026299 1344684878663 18633490461473 130434433230311