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135435210021 = 32432576172207
BaseRepresentation
bin111111000100010010…
…0010100110100100101
3110221120201020112002200
41332020210110310211
54204332403210041
6142115034325113
712533132201466
oct1761044246445
9427521215080
10135435210021
115248a710941
12222b8b89799
13ca04c52237
1467ab298d6d
1537ca0d61b6
hex1f88914d25

135435210021 has 48 divisors (see below), whose sum is σ = 201373945344. Its totient is φ = 87665098752.

The previous prime is 135435210007. The next prime is 135435210047. The reversal of 135435210021 is 120012534531.

135435210021 is a `hidden beast` number, since 13 + 5 + 435 + 210 + 0 + 2 + 1 = 666.

It is not a de Polignac number, because 135435210021 - 214 = 135435193637 is a prime.

It is a super-2 number, since 2×1354352100212 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135435218021) 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 47 ways as a sum of consecutive naturals, for example, 61365100 + ... + 61367306.

It is an arithmetic number, because the mean of its divisors is an integer number (4195290528).

Almost surely, 2135435210021 is an apocalyptic number.

It is an amenable number.

135435210021 is a deficient number, since it is larger than the sum of its proper divisors (65938735323).

135435210021 is a wasteful number, since it uses less digits than its factorization.

135435210021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 135435210021 its reverse (120012534531), we get a palindrome (255447744552).

The spelling of 135435210021 in words is "one hundred thirty-five billion, four hundred thirty-five million, two hundred ten thousand, twenty-one".

Divisors: 1 3 9 43 129 257 387 617 771 1851 2207 2313 5553 6621 11051 19863 26531 33153 79593 94901 99459 158569 238779 284703 475707 567199 854109 1361719 1427121 1701597 4085157 5104791 6818467 12255471 20455401 24389557 58553917 61366203 73168671 175661751 219506013 349961783 526985253 1049885349 3149656047 15048356669 45145070007 135435210021