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505420430213 = 291311572273733
BaseRepresentation
bin1110101101011010110…
…01111011101110000101
31210022120121201002122002
413112231121323232011
531240100112231323
61024104213515045
751341534526026
oct7265531735605
91708517632562
10505420430213
11185390724996
1281b54342a85
133887912212a
141a669086c4d
15d231936828
hex75ad67bb85

505420430213 has 32 divisors (see below), whose sum is σ = 532673919360. Its totient is φ = 478934426880.

The previous prime is 505420430209. The next prime is 505420430267. The reversal of 505420430213 is 312034024505.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 505420430213 - 22 = 505420430209 is a prime.

It is a super-2 number, since 2×5054204302132 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505420430293) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135390695 + ... + 135394427.

It is an arithmetic number, because the mean of its divisors is an integer number (16646059980).

Almost surely, 2505420430213 is an apocalyptic number.

It is an amenable number.

505420430213 is a deficient number, since it is larger than the sum of its proper divisors (27253489147).

505420430213 is a wasteful number, since it uses less digits than its factorization.

505420430213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4277.

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 505420430213 its reverse (312034024505), we get a palindrome (817454454718).

The spelling of 505420430213 in words is "five hundred five billion, four hundred twenty million, four hundred thirty thousand, two hundred thirteen".

Divisors: 1 29 131 157 227 3733 3799 4553 6583 20567 29737 35639 108257 489023 586081 596443 847391 862373 1033531 4668709 14181667 16996349 24574339 76776611 111008221 133040387 135392561 2226521719 3219238409 3858171223 17428290697 505420430213