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231353355314221 = 7219261321335953
BaseRepresentation
bin110100100110101000100110…
…100011111010010000101101
31010100011011110010010001201121
4310212220212203322100231
5220310443132430023341
62140014133021540541
766505504550253400
oct6446504643722055
91110134403101647
10231353355314221
11677974527838a8
1221b459b6714751
139c126b27437ba
14411b7c2743d37
151bb3071eb04d1
hexd26a268fa42d

231353355314221 has 36 divisors (see below), whose sum is σ = 284498688593052. Its totient is φ = 187559404091136.

The previous prime is 231353355314149. The next prime is 231353355314309. The reversal of 231353355314221 is 122413553353132.

It can be written as a sum of positive squares in 2 ways, for example, as 15229396980196 + 216123958334025 = 3902486^2 + 14701155^2 .

It is a de Polignac number, because none of the positive numbers 2k-231353355314221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231353355314321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 175381 + ... + 21511333.

It is an arithmetic number, because the mean of its divisors is an integer number (7902741349807).

Almost surely, 2231353355314221 is an apocalyptic number.

It is an amenable number.

231353355314221 is a deficient number, since it is larger than the sum of its proper divisors (53145333278831).

231353355314221 is a wasteful number, since it uses less digits than its factorization.

231353355314221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21336618 (or 21336592 counting only the distinct ones).

The product of its digits is 972000, while the sum is 43.

The spelling of 231353355314221 in words is "two hundred thirty-one trillion, three hundred fifty-three billion, three hundred fifty-five million, three hundred fourteen thousand, two hundred twenty-one".

Divisors: 1 7 19 49 133 361 613 931 2527 4291 11647 17689 30037 81529 221293 570703 1549051 10843357 21335953 149351671 405383107 1045461697 2837681749 7702279033 13078939189 19863772243 53915953231 91552574323 248499844591 377411672617 640868020261 1739498912137 4721497047229 12176492384959 33050479330603 231353355314221