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511434001 = 131719313929
BaseRepresentation
bin11110011110111…
…101110100010001
31022122100112120001
4132132331310101
52021411342001
6122425450001
715450055141
oct3636756421
91278315501
10511434001
11242766a31
12123340901
1381c59590
144bcd0921
152ed76001
hex1e7bdd11

511434001 has 32 divisors (see below), whose sum is σ = 633830400. Its totient is φ = 407255040.

The previous prime is 511433983. The next prime is 511434013. The reversal of 511434001 is 100434115.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-511434001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

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 511434001.

It is not an unprimeable number, because it can be changed into a prime (511444001) 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, 128205 + ... + 132133.

It is an arithmetic number, because the mean of its divisors is an integer number (19807200).

Almost surely, 2511434001 is an apocalyptic number.

It is an amenable number.

511434001 is a deficient number, since it is larger than the sum of its proper divisors (122396399).

511434001 is a wasteful number, since it uses less digits than its factorization.

511434001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4009.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 511434001 is about 22614.9066104638. The cubic root of 511434001 is about 799.7051001601.

Adding to 511434001 its reverse (100434115), we get a palindrome (611868116).

The spelling of 511434001 in words is "five hundred eleven million, four hundred thirty-four thousand, one".

Divisors: 1 13 17 19 31 221 247 323 403 527 589 3929 4199 6851 7657 10013 51077 66793 74651 121799 130169 868309 970463 1269067 1583387 2070583 2314181 16497871 26917579 30084353 39341077 511434001