Search a number
-
+
513421101333 = 32712316620261
BaseRepresentation
bin1110111100010100100…
…10000100100100010101
31211002020012101022010200
413132022102010210111
531402441300220313
61031510140011113
752044024232560
oct7361222044425
91732205338120
10513421101333
11188816910588
1283607830a99
133955283b85a
141abc78874d7
15d54e015b73
hex778a484915

513421101333 has 24 divisors (see below), whose sum is σ = 848240929536. Its totient is φ = 293145112800.

The previous prime is 513421101329. The next prime is 513421101353. The reversal of 513421101333 is 333101124315.

513421101333 is a `hidden beast` number, since 513 + 4 + 2 + 1 + 10 + 133 + 3 = 666.

It is not a de Polignac number, because 513421101333 - 22 = 513421101329 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 513421101297 and 513421101306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513421101353) 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 23 ways as a sum of consecutive naturals, for example, 3232578 + ... + 3387683.

It is an arithmetic number, because the mean of its divisors is an integer number (35343372064).

Almost surely, 2513421101333 is an apocalyptic number.

It is an amenable number.

513421101333 is a deficient number, since it is larger than the sum of its proper divisors (334819828203).

513421101333 is a wasteful number, since it uses less digits than its factorization.

513421101333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6621505 (or 6621502 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 513421101333 its reverse (333101124315), we get a palindrome (846522225648).

The spelling of 513421101333 in words is "five hundred thirteen billion, four hundred twenty-one million, one hundred one thousand, three hundred thirty-three".

Divisors: 1 3 7 9 21 63 1231 3693 8617 11079 25851 77553 6620261 19860783 46341827 59582349 139025481 417076443 8149541291 24448623873 57046789037 73345871619 171140367111 513421101333