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505222304133 = 31272116284563
BaseRepresentation
bin1110101101000011001…
…10001001000110000101
31210022001210220020202010
413112201212021012011
531234143402213013
61024032415204433
751333610505001
oct7264146110605
91708053806663
10505222304133
11185299901928
1281ab9b16719
1338847072a71
141a64aa31701
15d21e34c7c3
hex75a1989185

505222304133 has 16 divisors (see below), whose sum is σ = 682151714816. Its totient is φ = 332579021040.

The previous prime is 505222304117. The next prime is 505222304149. The reversal of 505222304133 is 331403222505.

It is an interprime number because it is at equal distance from previous prime (505222304117) and next prime (505222304149).

It is not a de Polignac number, because 505222304133 - 24 = 505222304117 is a prime.

It is a super-3 number, since 3×5052223041333 (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 505222304133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505222304833) 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 15 ways as a sum of consecutive naturals, for example, 3061891 + ... + 3222672.

It is an arithmetic number, because the mean of its divisors is an integer number (42634482176).

Almost surely, 2505222304133 is an apocalyptic number.

It is an amenable number.

505222304133 is a deficient number, since it is larger than the sum of its proper divisors (176929410683).

505222304133 is a wasteful number, since it uses less digits than its factorization.

505222304133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6284904.

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 505222304133 its reverse (331403222505), we get a palindrome (836625526638).

The spelling of 505222304133 in words is "five hundred five billion, two hundred twenty-two million, three hundred four thousand, one hundred thirty-three".

Divisors: 1 3 127 211 381 633 26797 80391 6284563 18853689 798139501 1326042793 2394418503 3978128379 168407434711 505222304133