Search a number
-
+
601135321113421 = 3743738937145197
BaseRepresentation
bin1000100010101110101011100…
…1010001101110001101001101
32220211102222100002212102011221
42020223222321101232031031
51112243000114201112141
65530301430520043341
7240422410435424563
oct21053527121561515
92824388302772157
10601135321113421
111645a4070226266
1257508076903551
131ca56a821b97c3
14a86316774da33
154976d989cdbd1
hex222bab946e34d

601135321113421 has 8 divisors (see below), whose sum is σ = 617383649822360. Its totient is φ = 584887067569728.

The previous prime is 601135321113419. The next prime is 601135321113461. The reversal of 601135321113421 is 124311123531106.

601135321113421 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 136496344417225 + 464638976696196 = 11683165^2 + 21555486^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 601135321113421 - 21 = 601135321113419 is a prime.

It is a super-3 number, since 3×6011353211134213 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601135321113401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2389206 + ... + 34755991.

It is an arithmetic number, because the mean of its divisors is an integer number (77172956227795).

Almost surely, 2601135321113421 is an apocalyptic number.

It is an amenable number.

601135321113421 is a deficient number, since it is larger than the sum of its proper divisors (16248328708939).

601135321113421 is a wasteful number, since it uses less digits than its factorization.

601135321113421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37582623.

The product of its (nonzero) digits is 12960, while the sum is 34.

Adding to 601135321113421 its reverse (124311123531106), we get a palindrome (725446444644527).

The spelling of 601135321113421 in words is "six hundred one trillion, one hundred thirty-five billion, three hundred twenty-one million, one hundred thirteen thousand, four hundred twenty-one".

Divisors: 1 37 437389 16183393 37145197 1374372289 16246900570633 601135321113421